SAEKI OSAMU
Organization
Institute of Mathematics for Industry Division of Fundamental mathematics Professor
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
Joint Graduate School of Mathematics for Innovation （Concurrent）
School of Engineering （Concurrent）
School of Engineering （Concurrent）
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
Joint Graduate School of Mathematics for Innovation （Concurrent）
School of Engineering （Concurrent）
School of Engineering （Concurrent）
Title
Professor
Profile
My main research interest is the global singularity theory of differentiable mappings. It has been known that differentiable functions on a manifold can be well used to study its global geometric structures. In the 1950's Thom began to try to generalize such a theory to that of differentiable mappings between manifolds. However, because of the difficulty in controling local singularities, the theory has not been well developed until recently. So I am studying differentiable mappings between manifolds with only mild singularities or those between low dimensional manifolds.
This kind of global study of singularities is fairly new and my recent results have shown that the singularities of differentiable mappings play an essential role in the study of geometric structures of manifolds. In this way, it has been recognized that such a study is important in Topology.
Other than the above mentioned research, I am also interested in the following vast area of Topology and related fields: primary obstruction to topological embeddings, separation properties of codimension 1 maps, topology of complex isolated hypersurface singularities, fibered knots, 4-dimensional manifolds, codimension 1 embeddings, differential geometric invariants of space curves, unknotting numbers of knots, etc. I am also interested in the asymptotic behavior of generalized Fibonacci sequences. Furthermore, I am interested in the application of Topology to other areas in Science and Industry, such as DNA knots, visual data analysis for multivariate functions, analysis of materials from microscopic levels, etc.
Homepage
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http://imi.kyushu-u.ac.jp/~saeki/index.html
Osamu Saeki's Home Page
External link
Research Areas
Research Areas
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Natural Science / Geometry
Research History
Research History
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Kyushu University Institute of Mathematics for Industry, Division of Fundamental Mathematics Professor
2011.3 - Present
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Country：Japan
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Kyushu University Faculty of Mathematics Professor
2002.4 - 2011.3
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Country：Japan
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Hiroshima University 大学院理学研究科 Associate Professor (as old post name)
2000.4 - 2002.3
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Country：Japan
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Hiroshima University 理学部 Associate Professor (as old post name)
1995.4 - 2000.3
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Country：Japan
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Hiroshima University 理学部 Lecturer
1993.3 - 1995.3
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Country：Japan
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Yamagata University Faculty of Science Assistant Professor
1987.10 - 1993.2
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Research Interests・Research Keywords
Research Interests・Research Keywords
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Research theme： Mathematical Descriptions of Figures from the Viewpoints of Topology and Differential Geometry
Keyword： Topology, Differential Geometry, Material Science
Research period： 2013.4 - 2014.3
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Research theme： Application of Pure Mathematics to Material Science
Keyword： Microstructure of Materials, Geometric Features, Mathematical Modeling
Research period： 2011.4 - Present
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Research theme： Low Dimensional Topology, Morse Theory and Computer Graphics
Keyword： low dimensional topology, computer graphics, Morse theory, singularities of differentiable maps
Research period： 2011.4 - Present
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Research theme： Topology-based visual data analysis for multivariate functions
Keyword： multivariate function, data analysis, visualization, differential topology
Research period： 2010.10 - Present
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Research theme： Research on DNA knots
Keyword： DNA recombination, knot theory, tangle, site-specific recombination enzyme, topoisomerase, cyclic surgery theorem
Research period： 2007.6 - Present
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Research theme： Mathematics for Industry
Keyword： Mathematics for Industry
Research period： 2007 - Present
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Research theme： Research on regular homotopy classes of immersions and embeddings of 3-manifolds into 5-space
Keyword： immersion, embedding, regular homotopy, spin structure, 3-manifold
Research period： 2000.4 - Present
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Research theme： Research on contact between curves and 1-parameter orbits in homogeneous spaces
Keyword： homogeneous space, 1-parameter subgroup, contact, orbit, Lie algebra
Research period： 1997.4 - 2013.3
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Research theme： Research on generalized Fibonacci sequences
Keyword： Fibonacci sequence, recurrence, asymptotic behavior, Binet formula, holomorphic function
Research period： 1994.4 - Present
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Research theme： Research on separation property of codimension 1 maps, Betti number of generic map images, and primary obstruction to topological embeddings.
Keyword： codimension 1 map, separation property, generic map, Betti number, primary obstruction to topological embeddings
Research period： 1991 - Present
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Research theme： Research on the topology of stable maps
Keyword： stable map, elimination of singularities, manifold, characteristic class, differentiable structure
Research period： 1991 - Present
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Research theme： Global Theory of Singularities
Keyword： singularities of differentiable map, global topology, differentiable structure
Research period： 1990 - Present
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Research theme： Research on high dimensional knots
Keyword： knot, codimension 1 embedding, product of spheres, fibered knot, Milnor fibration
Research period： 1985 - Present
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Research theme： Low dimensional topology
Keyword： 3-dimensional manifold, 4-dimensional manifold, knot
Research period： 1985 - Present
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Research theme： Theory of manifolds
Keyword： manifold, Morse theory, differentiable structure
Research period： 1985 - Present
Awards
Awards
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FY2024 The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology, Awards for Science and Technology
2024.4 文部科学省 業績：可微分写像の大域的特異点論の研究
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Country：Japan
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Geometry Prize FY2015
2015.9 Mathematical Society of Japan Stable maps and Topology of Manifolds
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Award type：Award from Japanese society, conference, symposium, etc. Country：Japan
授賞題目：安定写像と多様体のトポロジーの研究
授賞理由：佐伯修氏は長年にわたり幅広い分野で活躍されているが，その活動の中核にある安定写像を用いた3あるいは4次元可微分多様体のトポロジーの研究は，大変ユニークで優れたものである．多様体のトポロジーの情報をMorse関数の特異点の指数から引き出すMorse理論は，前世紀半ばに始まり今日までその有用性に陰りはない．一方佐伯氏は，ターゲットの次元を上げることで設定を多様化し，一貫して，特定の型の特異点のみをもつ安定写像の存在・非存在が定義域の多様体のトポロジーや微分構造をどのように反映するか，というよりワイルドな問いに取り組んでいる．その過程で，独自の道具を開発し，コボルディズム理論，特異点論および低次元トポロジーの技法などを駆使している．佐伯氏の一連の仕事は1980年代中盤以降の微分トポロジーの大きな流れとはやや違え，微分トポロジー揺籃期のThom やMilnor の問題意識に立ち返るものであるが，安定写像が主体の研究の中では，ターゲットの次元がソースの次元よりも低い安定写像の微分トポロジーの研究は真に佐伯氏が世界を牽引している．具体的成果の幾つかを挙げる．4次元多様体から3次元多様体への安定写像については，カスプ特異点の解消の障害類の同定，佐久間氏と共同で4 次元位相多様体上の微分構造の違いが読み取れること，また，山本氏と共同で多様体の符号数は特定な型の特異ファイバーの符号付個数と一致，などを示している．4次元多様体から2次元多様体への安定写像については，たとえば定値折り曲げ（definite fold）はいつでも解消できることを示し，3次元多様体から2次元多様体への安定写像に対しては，たとえば各ファイバーの連結成分を1点に潰した空間からの誘導写像であるStein分解を定義し安定写像の分類を行っている．さらにここ数年，佐伯氏のこれまでの研究は低次元トポロジーの研究に基本的な影響を与え始めていることは特筆に価する．Donaldsonらが導入した4次元多様体の特異レフシェッツ束（broken Lefschetz fibration）やTuraev が導入した3次元多様体の影（shadow）は，安定写像を介して理解することが自然に可能であり，佐伯氏が開発した特異点解消やStein 分解といった技法が，今日のその研究に活用されている．また，Gromovも佐伯氏の仕事を一つの根拠に安定写像の位相的複雑度に関してアイデアを提唱している． -
Takebe Katahiro Prize FY1996
1996.11 Mathematical Society of Japan 微分可能写像の大域的特異点理論
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Papers
Papers
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Global singularity theory of generic differentiable maps Invited Reviewed International journal
Osamu Saeki
Handbook of Geometry and Topology of Singularities VII ( － ) 273 - 326 2025.3 （ ISBN:978-3-031-68710-5 ）
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Authorship：Lead author, Last author, Corresponding author Language：English Publishing type：Part of collection (book) Publisher：Springer Cham
This chapter describes how differentiable maps of manifolds into Euclidean spaces with singularities are related to the topological or differentiable structures of manifolds. Singularities of differentiable maps are formulated locally in principle: however, maps with certain singularities as a whole or the singularities in total carry global information. The study of differentiable maps with singularities from such kind of a viewpoint is called the global singularity theory of differentiable maps. In this chapter, we first focus on differentiable maps with only definite fold singularities, called special generic maps, and see how such maps affect the differentiable structures of the source manifolds. Then, we introduce the notion of cobordisms for maps with prescribed singularities, which will be used to extract certain invariants of singular maps and the source manifolds. We will see that singular fibers play important roles in studying such cobordisms. Finally, we give a brief exposition of a result due to Gromov, which relates the simplicial volume of a manifold with the number of certain singular fibers.
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Simplifying indefinite fibrations on 4-manifolds Reviewed International journal
R.I. Baykur, O. Saeki
Trans. Amer. Math. Soc. 376 3011 - 3062 2023.1
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Language：English Publishing type：Research paper (scientific journal)
The main goal of this article is to connect some recent perspectives in the study of 4–manifolds from the vantage point of singularity theory. We present explicit algorithms for simplifying the topology of various maps on 4–manifolds, which include broken Lefschetz fibrations and indefinite Morse 2–functions. The algorithms consist of sequences of moves, which modify indefinite fibrations in smooth 1–parameter families. These algorithms allow us to give purely topological and constructive proofs of the existence of simplified broken Lefschetz fibrations and Morse 2–functions on general 4–manifolds, and a theorem of Auroux–Donaldson–Katzarkov on the existence of certain broken Lefschetz pencils on near-symplectic 4–manifolds. We moreover establish a correspondence between broken Lefschetz fibrations and Gay–Kirby trisections of 4–manifolds, and show the existence and stable uniqueness of simplified trisections on all 4–manifolds. Building on this correspondence, we also provide several new constructions of trisections, including infinite
families of genus–3 trisections with homotopy inequivalent total spaces, and exotic same genera trisections of 4–manifolds in the homeomorphism classes of complex rational surfaces. -
Reeb spaces of smooth functions on manifolds Reviewed International journal
Osamu Saeki
International Mathematics Research Notices 2022 8740 - 8768 2022.6
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The Reeb space of a continuous function is the space of connected components of the level sets. In this paper we first prove that the Reeb space of a smooth function on a closed manifold with finitely many critical values has the structure of a finite graph without loops. We also show that an arbitrary finite graph without loops can be realized as the Reeb space of a certain smooth function on a closed manifold with finitely many critical values, where the corresponding level sets can also be preassigned. Finally, we show that a continuous map of a smooth closed connected manifold to a finite connected graph without loops that induces an epimorphism between the fundamental groups is identified with the natural quotient map to the Reeb space of a certain smooth function with finitely many critical values, up to homotopy.
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Simplified broken Lefschetz fibrations and trisections of 4-manifolds Invited Reviewed International journal
R.I. Baykur, O. Saeki
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 115 ( 43 ) 10894 - 10900 2018.10
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特異点論の観点から、特異シンプレクティック構造に付随した特異Lefschetz構造の存在や、単純化されたtrisectionの存在を、具体的かつ構成的に証明することに成功し
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Special generic maps on open 4-manifolds Reviewed International journal
Osamu Saeki
Journal of Singularities 1 2010.1
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Language：English Publishing type：Research paper (scientific journal)
Special generic maps on open 4-manifolds
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Singular fibers of stable maps and signatures of 4-manifolds Reviewed International journal
O. Saeki and T. Yamamoto
Geometry and Topology 2006.4
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Language：English Publishing type：Research paper (scientific journal)
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Topology of singular fibers of differentiable maps Reviewed International journal
Osamu Saeki
Lecture Notes in Mathematics, Springer 2004.1
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Language：English Publishing type：Research paper (scientific journal)
Topology of singular fibers of differentiable maps
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Fold maps on 4-manifolds Reviewed International journal
Osamu Saeki
Comment. Math. Helv. 78 ( 3 ) 627 - 647 2003.1
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Special generic maps of 4-manifolds and compact complex analytic surfaces Reviewed International journal
O. Saeki and K. Sakuma
Math. Ann. 1999.1
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Language：English Publishing type：Research paper (scientific journal)
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Differentiable maps on links of complex isolated hypersurface singularities Reviewed International journal
O. Saeki and S. Sakurai
Hokkaido Math. J. ー ( － ) － - － 2025
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Authorship：Corresponding author Language：English Publishing type：Research paper (scientific journal)
We consider links of complex isolated hypersurface singularities in C^{n+1} and study differentiable maps defined by restricting holomorphic functions to the links. We give an explicit example in which such a restriction gives a fold map into the plane C = R^2 whose singular value set consists of concentric circles.
Repository Public URL： https://hdl.handle.net/2324/7347403
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Reeb spaces of smooth functions on manifolds II Reviewed International journal
Osamu Saeki
Res. Math. Sci. 2024.3
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多様体上の可微分関数のReeb空間が、有限グラフの構造を持つための、関数に関する必要十分条件を、レベル集合の連結成分がその近傍をどのように分割するかという観点から与えることに初めて成功した。
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Round fold maps on 3-manifolds Reviewed International journal
Naoki Kitazawa and Osamu Saeki
Algebraic & Geometric Topology 2023.12
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Language：English Publishing type：Research paper (scientific journal)
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Special generic maps and Gromoll filtration Reviewed International journal
Osamu Saeki
São Paulo Journal of Mathematical Sciences 2023.12
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Language：English Publishing type：Research paper (scientific journal)
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ALGEBRAIC KNOTS ASSOCIATED WITH MILNOR FIBRATIONS Reviewed International journal
Raimundo Araujo dos Santos, Osamu Saeki and Taciana O. Souza
Journal of Singularities to appear 2023.1
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Language：English Publishing type：Research paper (scientific journal)
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Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space Reviewed International journal
Naoki Kitazawa and Osamu Saeki
J. Singularities 26 1 - 12 2023.1
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REEB GRAPHS OF SMOOTH FUNCTIONS ON MANIFOLDS
Osamu Saeki
可微分写像の特異点論とその応用， 数理解析研究所講究録 2156 2020.5
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Language：English Publishing type：Research paper (scientific journal)
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Linking between singular locus and regular fibers Reviewed International journal
O. Saeki
Journal of Singularities 21 234 - 248 2020.1
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Unlinking singular loci from regular fibers and its application to submersions Reviewed International journal
Osamu Saeki
Journal of Singularities 22 92 - 103 2020.1
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Repository Public URL： http://hdl.handle.net/2324/4485669
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Elimination of definite fold II Reviewed International journal
O. Saeki
Kyushu Journal of Mathematics 73 239 - 250 2019.10
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Repository Public URL： http://hdl.handle.net/2324/4399981
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A signature invariant for stable maps of 3-manifolds into surfaces Reviewed International journal
O. Saeki
ROMANIAN JOURNAL OF PURE AND APPLIED MATHEMATICS 64 541 - 563 2019.10
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Simplified broken Lefschetz fibrations and trisections of smooth 4-manifolds International journal
O. Saeki
Intelligence of Low-dimensional Topology, 数理解析研究所講究録 2099 42 - 59 2018.12
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Language：English Publishing type：Research paper (scientific journal)
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An algebraic description of screw dislocations in SC and BCC crystal lattices Reviewed International journal
H. Hamada, S. Matsutani, J. Nakagawa, O. Saeki, M. Uesaka
Pacific Journal of Mathematics for Industry 10 ( 3 ) 2018.8
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Language：English Publishing type：Research paper (scientific journal)
DOI： https://pacific-mathforindustry.springeropen.com/articles/10.1186/s40736-018-0037-8
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定値折り目特異点の消去II International journal
佐伯修
可微分写像の特異点の局所的研究と大域的研究， 数理解析研究所講究録 2085 55 - 66 2018.8
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Language：Japanese Publishing type：Research paper (scientific journal)
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Singular fibers of stable maps of manifold pairs and their applications Invited Reviewed International journal
O. Saeki and T. Yamamoto
"Singularities and Foliations. Geometry, Topology and Applications", Araújo dos Santos, R.N., Menegon Neto, A., Mond, D., Saia, M.J., Snoussi, J. (Eds.), Springer Proceedings in Mathematics & Statistics 222 259 - 294 2018.4
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Language：English Publishing type：Research paper (international conference proceedings)
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A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces International journal
O. Saeki
可微分写像の特異点論とその応用，数理解析研究所講究録 2049 155 - 172 2017.10
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Language：Japanese Publishing type：Research paper (scientific journal)
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Theory of singular fibers and Reeb spaces for visualization Invited Reviewed International journal
Osamu Saeki
“Topological Methods in Data Analysis and Visualization IV - Theory, Algorithms, and Applications”, H. Carr, C. Garth, T.Weinkauf (Eds.), Proc. Topology-Based Methods in Visualization 2015, Springer 3 - 33 2017.4
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Language：English Publishing type：Research paper (international conference proceedings)
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Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications Reviewed International journal
Osamu Saeki, T. Yamamoto
Algebraic & Geometric Topology 16 1379 - 1402 2016.8
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New examples of Neuwirth--Stallings pairs and non-trivial real Milnor fibrations Reviewed International journal
Osamu Saeki, R. Araújo dos Santos, M. A. B. Hohlenwerger, T. O. Souza
Annales de l'Institut Fourier (Grenoble) 66 83 - 104 2016.4
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We use topology of configuration spaces to give a characterization of Neuwirth--Stallings pairs (S^5, K) with dim K = 2. As a consequence, we construct polynomial map germs (R^6,0) -> (R^3,0) with an isolated singularity at the origin such that their Milnor fibers are not diffeomorphic to a disk, thus putting an end to Milnor's non-triviality question.
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Cobordism group of Morse functions on surfaces with boundary Invited Reviewed International journal
O. Saeki and T. Yamamoto
REAL AND COMPLEX SINGULARITIES, Proc. XIII International Workshop on Real and Complex Singularities, São Carlos, 2014, Contemporary Mathematics 675 279 - 297 2016.4
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Topology of manifolds and global theory of singularities Reviewed International journal
Osamu Saeki
RIMS Kôkyûroku Bessatsu B55 185 - 203 2016.4
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Multivariate topology simplification Reviewed International journal
Osamu Saeki, A. Chattopadhyay, H. Carr, Zhao Geng, D. Duke
Computational Geometry 58 1 - 24 2016.4
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Interactive visualization for singular fibers of functions f : R^3 -> R^2 Reviewed International journal
Osamu Saeki, D. Sakurai, H. Carr, Hsiang-Yun Wu, T. Yamamoto, D. Duke, S. Takahashi
IEEE Transactions on Visualization & Computer Graphics 22 ( 1 ) 945 - 954 2016.1
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Interactive Visualization for Singular Fibers of Functions f : R-3 -> R-2 Reviewed
Daisuke Sakurai, Osamu Saeki, Hamish Carr, Hsiang-Yun Wu, Takahiro Yamamoto, David Duke, Shigeo Takahashi
IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS 22 ( 1 ) 945 - 954 2016.1 （ ISSN:1077-2626 eISSN:1941-0506 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：IEEE COMPUTER SOC
Scalar topology in the form of Morse theory has provided computational tools that analyze and visualize data from scientific and engineering tasks. Contracting isocontours to single points encapsulates variations in isocontour connectivity in the Reeb graph. For multivariate data, isocontours generalize to fibers inverse images of points in the range, and this area is therefore known as fiber topology. However, fiber topology is less fully developed than Morse theory, and current efforts rely on manual visualizations. This paper presents how to accelerate and semi-automate this task through an interface for visualizing fiber singularities of multivariate functions R-3 -> R-2. This interface exploits existing conventions of fiber topology, but also introduces a 3D view based on the extension of Reeb graphs to Reeb spaces. Using the Joint Contour Net, a quantized approximation of the Reeb space, this accelerates topological visualization and permits online perturbation to reduce or remove degeneracies in functions under study. Validation of the interface is performed by assessing whether the interface supports the mathematical workflow both of experts and of less experienced mathematicians.
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Co-orientable singular fibers of stable maps of 3-manifolds with boundary into surfaces International journal
O. Saeki and T. Yamamoto
可微分写像の特異点論とその応用，数理解析研究所講究録 1948 137 - 152 2015.4
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Language：English Publishing type：Research paper (scientific journal)
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Visual data mining based on differential topology: a survey Reviewed International journal
Osamu Saeki, S. Takahashi
Pacific Journal of Mathematics for Industry 2014.4
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Visualizing multivariate data using singularity theory Invited Reviewed International journal
Osamu Saeki, S. Takahashi, D. Sakurai, Hsiang-Yun Wu, K. Kikuchi, H. Carr, D. Duke, T. Yamamoto
The Impact of Applications on Mathematics, Proceedings of Forum “Math-for-Industry” 2013, Springer, 2014 51 - 65 2014.4
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This is a survey article on recent developments in visualization of large data, especially that of multivariate volume data. We present two essential ingredients. The first one is the mathematical background, especially the singularity theory of differentiable mappings, which enables us to capture topological features of given multivariate data in a mathematically rigorous way. The second one is a new development in computer science, called the joint contour net, which can encode
topological structures of a given set of multivariate data in an efficient and robust way. Some applications to real
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Connected components of regular fibers of differentiable maps Reviewed International journal
Osamu Saeki, J. T. Hiratuka
Topics on Real and Complex Singularities, Proceedings of the 4th Japanese-Australian Workshop (JARCS4), Kobe 2011, World Scientific 61 - 73 2014.1
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Desingularizing special generic maps Reviewed International journal
Osamu Saeki, Masamichi Takase
Journal of Gökova Geometry Topology 7 1 - 24 2013.12
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Let f : M → R^p be a special genericmap of a closed n-dimensional manifold M with n \geq p \geq 1. We study the condition for f to be factorized as f = \pi \circ \eta for an immersion (or an embedding) \eta : M → R^{n+1} and an orthogonal projection \pi : R^{n+1} → R^p. For various dimension pairs (n,p) we give answers to such a lifting problem. In particular, for the cases where p=1 and 2 we obtain complete results.
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Triangulating Stein factorizations of generic maps and Euler characteristic formulas Reviewed International journal
Osamu Saeki, J. T. Hiratuka
RIMS Kôkyûroku Bessatsu 38 61 - 89 2013.4
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Cobordism of exact links Reviewed International journal
Vincent Blanlœil and Osamu Saeki
Algebraic and Geometric Topology 12 ( 3 ) 2012.7
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In this paper we introduce the notion of exact links, which constitute a broad class of high dimensional links.
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Fox property for codimension one embeddings of product of three spheres into spheres Reviewed International journal
L. A. Lucas and O. Saeki
Algebraic and Geometric Topology 11 ( 5 ) 2011.12
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Fox property for codimension one embeddings of product of three spheres into spheres
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Cobordism of algebraic knots defined by Brieskorn polynomials Reviewed International journal
V. Blanlœil and O. Saeki
Tokyo J. Math. 34 2011.12
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Cobordism of algebraic knots defined by Brieskorn polynomials
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Curves in homogeneous spaces and their contact with 1-dimensional orbits Reviewed International journal
V. M. do Nascimento and O. Saeki
Geometriae Dedicata 154 2011.1
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Curves in homogeneous spaces and their contact with 1-dimensional orbits
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A smooth function on a manifold with given Reeb graph Reviewed International journal
Yasutaka Masumoto and Osamu Saeki
Kyushu Journal of Mathematics 65 2011.1
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A smooth function on a manifold with given Reeb graph
Repository Public URL： http://hdl.handle.net/2324/26893
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Height functions on surfaces with three critical values Reviewed International journal
Fumiya Morishita and Osamu Saeki
Journal of the Mathematical Society of Japan 63 2011.1
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Height functions on surfaces with three critical values
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Singular fibers and 4-dimensional cobordism group Reviewed International journal
Osamu Saeki
Pacific Journal of Mathematics 248 2010.4
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Singular fibers and 4-dimensional cobordism group
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Obstructions to the existence of fold maps Reviewed
Rustam Sadykov, Osamu Saeki, Kazuhiro Sakuma
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 81 338 - 354 2010.4 （ ISSN:0024-6107 eISSN:1469-7750 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：OXFORD UNIV PRESS
We study smooth maps between smooth manifolds with only fold points as their singularities, and clarify the obstructions to the existence of such a map in a given homotopy class for certain dimensions. The obstructions are described in terms of characteristic classes, which arise as Postnikov invariants, and can be interpreted as primary and secondary obstructions to the elimination of certain singularities. We also discuss the relationship between the existence problem of fold maps and that of vector fields of stabilized tangent bundles.
DOI： 10.1112/jlms/jdp072
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Cobordism of Morse maps and its application to map germs Reviewed International journal
Kazuichi Ikegami and Osamu Saeki
Mathematical Proceedings of the Cambridge Philosophical Society 2009.2
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Surface links and their generic planar projections Reviewed International journal
O. Saeki and Y. Takeda
J. Knot Theory Ramifications 2009.1
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Surface links and their generic planar projections
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Number of singularities of stable maps Reviewed International journal
J. T. Hiratuka and O. Saeki
Journal of Geometry 2008.9
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Number of singularities of stable maps
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On 2-knots with total width eight Reviewed International journal
O. Saeki and Y. Takeda
Illinois Journal of Mathematics 52 2008.1
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On 2-knots with total width eight
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可微分写像の特異ファイバーのトポロジー Invited Reviewed
佐伯修
数学 2008.1
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Language：Japanese Publishing type：Research paper (scientific journal)
Topology of singular fibers of differentiable maps
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Cobordism of fibered knots and related topics Reviewed International journal
V. Blanloeil and O. Saeki
Advanced Stud. in Pure Math. 2007.2
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Singular fibers and characteristic classes Reviewed International journal
O. Saeki and T. Yamamoto
Topology Appl. 2007.1
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Concordance des noeuds de dimension 4 Reviewed International journal
V. Blanloeil and O. Saeki
Canadian Mathematical Bulletin 2007.1
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Concordance of four dimensional knots
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Extending generalized Fibonacci sequences and their Binet type formula Reviewed International journal
M. Rachidi and O. Saeki
Advances in Difference Equations 2006.7
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Stable mapping class groups of 4-manifolds with boundary Reviewed International journal
Osamu Saeki
Trans. Amer. Math. Soc. 2006.5
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Elimination of definite fold Reviewed International journal
Osamu Saeki
Kyushu J. Math. 2006.5
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Repository Public URL： http://hdl.handle.net/2324/11755
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Cobordism of Morse functions on surfaces, universal complex of singular fibers, and their application to map germs Reviewed International journal
Osamu Saeki
Algebraic and Geometric Topology 2006.4
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Open book structures on (n-1)-connected (2n+1)-manifolds Reviewed International journal
S. Massago, O. M. Neto and O. Saeki
J. Math. Sci. Univ. Tokyo 2006.4
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Morse functions with sphere fibers Reviewed International journal
Osamu Saeki
Hiroshima Math. J. 2006.3
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Codimension one embeddings of product of three spheres Reviewed International journal
L. A. Lucas and O. Saeki
Topology Appl. 146 409 - 419 2005.1
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Cobordisme des surfaces plongees dans S^4 Reviewed International journal
V. Blanloeil et O. Saeki
Osaka J. Math. 2005.1
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Generic smooth maps with sphere fibers Reviewed International journal
O. Saeki and K. Suzuoka
J. Math. Soc. Japan 57 ( 3 ) 881 - 902 2005.1
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Cobordisme des surfaces plong\'ees dans S^4
V. Blanloeil, e, O. Saeki
Osaka J. Math. Vol.42 ( 4 ) 751 - 765 2005 （ ISSN:0030-6126 ）
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Language：French Publisher：Osaka University and Osaka City University, Departments of Mathematics
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On periodic (infinity)-generalized Fibonacci sequences
B Bernoussi, W Motta, M Rachidi, O Saeki
FIBONACCI QUARTERLY 42 ( 4 ) 361 - 367 2004.11 （ ISSN:0015-0517 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：FIBONACCI ASSOC
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Extending the Bernoulli-Euler method for finding zeros of holomorphic functions
B Bernoussi, M Rachidi, O Saeki
FIBONACCI QUARTERLY 42 ( 1 ) 55 - 65 2004.2 （ ISSN:0015-0517 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：FIBONACCI ASSOC
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Extending Bernoulli-Euler's method for finding zeros of holomorphic functions Reviewed International journal
B. Bernoussi, M. Rachidi and O. Saeki
Fibonacci Quarterly 2004.1
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Language：English Publishing type：Research paper (scientific journal)
Extending Bernoulli-Euler's method for finding zeros of holomorphic functions
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Generalized Fibonacci sequences and Ostrowski's theorem Reviewed International journal
W. Motta, M. Rachidi, and O. Saeki
Journal of Interdisciplinary Mathematics 2004.1
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Pull back relation for non-spherical knots Reviewed International journal
V. Blanloeil, Y. Matsumoto and O. Saeki
J. Knot Theory Ramifications 13 ( 5 ) 689 - 701 2004.1
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On periodic infinitely generalized Fibonacci sequences Reviewed International journal
B. Bernoussi, W. Motta, M. Rachidi and O. Saeki
Fibonacci Quarterly 42 ( 4 ) 361 - 367 2004.1
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Language：English Publishing type：Research paper (scientific journal)
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Canceling branch points and cusps on projections of knotted surfaces in 4-space Reviewed International journal
O. Saeki and Y. Takeda
Proc. Amer. Math. Soc. 132 ( 10 ) 3097 - 3101 2004.1
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Factorial Binet formula and distributional moment formulation of generalized Fibonacci sequences Reviewed International journal
B. Bernoussi, M. Rachidi and O. Saeki
Fibonacci Quarterly 42 ( 4 ) 320 - 329 2004.1
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Cobordism group of Morse functions on surfaces Reviewed
K. Ikegami and O. Saeki
J. Math. Soc. Japan 55 ( 4 ) 1081 - 1094 2003.1
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Self-intersection class for singularities and its application to fold maps Reviewed International journal
T. Ohmoto, O Saeki, and K. Sakuma
Trans. Amer. Math. Soc. 355 ( 9 ) 3825 - 3838 2003.1
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Embeddings of S-p x S-q x S-r in Sp+q+r+1
LA Lucas, O Saeki
PACIFIC JOURNAL OF MATHEMATICS 207 ( 2 ) 447 - 462 2002.12 （ ISSN:0030-8730 ）
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Let f : S-p x S-q x S-r --> Sp+q+r+1, 2 less than or equal to p less than or equal to q less than or equal to r, be a smooth embedding. In this paper we show that the closure of one of the two components of Sp+q+r+1 -f (S-p x S-q x S-r), denoted by C-1, is diffeomorphic to S-p x S-q x Dr+1 or S-p x Dq+1 x S-r or Dp+1 x S-q x S-r, provided that p + q not equal r or p + q = r with r even. We also show that when p + q = r with r odd, there exist infinitely many embeddings which do not satisfy the above property. We also de ne standard embeddings of S-p x S-q x S-r into Sp+q+r+1 and, using the above result, we prove that if C-1 has the homology of S-p x S-q, then f is standard, provided that q< r.
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A theory of concordance for non-spherical 3-knots
Blanloeil, V, O Saeki
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 354 ( 10 ) 3955 - 3971 2002.10 （ ISSN:0002-9947 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：AMER MATHEMATICAL SOC
Consider a closed connected oriented 3-manifold embedded in the 5-sphere, which is, called a 3-knot in this paper. For two such knots, we say that their Seifert forms are spin concordant, if they are algebraically concordant with respect to a diffeomorphism between the 3-manifolds which preserves their spin structures. Then we show that two simple fibered 3-knots are geometrically concordant if and only if they have spin concordant Seifert forms, provided that they have torsion free first homology groups. Some related results are also obtained.
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Diffeomorphisms of a product of spheres and embedded spheres Reviewed International journal
L. A. Lucas and O. Saeki
Topology Appl. 2002.1
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Cobordism groups of special generic functions and groups of homotopy spheres Reviewed
Osamu Saeki
Japanese J. Math. 2002.1
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Theory of concordance for non-spherical 3-knots Reviewed International journal
V. Blanloeil and O. Saeki
Trans. Amer. Math. Soc. 2002.1
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Language：English Publishing type：Research paper (scientific journal)
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Spin structures and codimension two embeddings of 3-manifolds up to regular homotopy Reviewed International journal
O. Saeki and M. Takase
Trans. Amer. Math. Soc. 354 ( 12 ) 5049 - 5061 2002.1
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Language：English Publishing type：Research paper (scientific journal)
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Open books on 5-dimensional manifolds Reviewed
Osamu Saeki
Hiroshima Math. J. 2002.1
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Language：English Publishing type：Research paper (scientific journal)
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Regular homotopy classes of immersions of 3-manifolds into 5-space Reviewed International journal
O. Saeki, A. Szucs, and M. Takase
Manuscripta Math. 2002.1
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Embeddings of S^p X S^q X S^r into S^{p+q+r} Reviewed International journal
L. A. Lucas and O. Saeki
Pacific J. Math. 2002.1
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Language：English Publishing type：Research paper (scientific journal)
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Approximation of infinity-generalized Fibonacci sequences and their asymptotic Binet formula
B Bernoussi, W Motta
FIBONACCI QUARTERLY 39 ( 2 ) 168 - 180 2001.5 （ ISSN:0015-0517 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：FIBONACCI ASSOC
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Maps of manifolds into the plane which lift to standard embeddings in codimension two Reviewed International journal
V. L. Carrara, M. A. S. Ruas, and O. Saeki
Topology Appl. 2001.1
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Language：English Publishing type：Research paper (scientific journal)
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A primary obstruction to topological embeddings and its applications Reviewed International journal
C. Biasi, J. Daccach and O. Saeki
Manuscripta Math. 2001.1
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Language：English Publishing type：Research paper (scientific journal)
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Approximation of infinitely generalized Fibonacci sequences and their asymptotic Binet formula Reviewed International journal
B. Bernoussi, W. Motta, M. Rachidi and O. Saeki
Fibonacci Quart. 2001.1
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A primary obstruction to topological embeddings for maps between generalized manifolds Reviewed International journal
C. Biasi, J. Daccach and O. Saeki
Pacific J. Math. 2001.1
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Euler characteristic formulas for simplicial maps Reviewed International journal
J. J. Nuno Ballesteros and O. Saeki
Math. Proc. Camb. Phil. Soc. 2001.1
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Convergent infinity-generalized Fibonacci sequences
W Motta, M Rachidi, O Saeki
FIBONACCI QUARTERLY 38 ( 4 ) 326 - 333 2000.8 （ ISSN:0015-0517 ）
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Real Seifert form determines the spectrum for semiquasihomogeneous hypersurface singularities in C^3 Reviewed
Osamu Saeki
J. Math. Soc. Japan 2000.1
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Rubinstein-Scharlemann graphic of 3-manifold as the discriminant set of a stable map Reviewed International journal
T. Kobayashi and O. Saeki
Pacific J. Math. 2000.1
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On R-bordism of maps and obstruction to topological embeddings Reviewed
C. Biasi, J. Daccach and O. Saeki
Osaka J. Math. 2000.1
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Convergent infinitely generalized Fibonacci sequences Reviewed International journal
W. Motta, M. Rachidi, and O. Saeki
Fibonacci Quarterly 2000.1
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A two colour theorem and the fundamental class of a polyhedron Reviewed International journal
W. Motta and O. Saeki
"Real and complex singularities", ed. J. W. Bruce and F. Tari, Proceedings of the 5th Workshop on Real and Complex Singularities, Brazil, CHAPMAN & HALL/CRC Research notes in Math. 2000.1
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Real Seifert form determines the spectrum for semiquasihomogeneous hypersurface singularities in C3
Osamu Saeki
Journal of the Mathematical Society of Japan 52 ( 2 ) 409 - 431 2000 （ ISSN:1881-1167 ）
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We show that the real Seifert form determines the weights for nondegenerate quasihomogeneous polynomials in C3. Consequently the real Seifert form determines the spectrum for semiquasihomogeneous hypersurface singularities in C3. As a corollary, we obtain the topological invariance of weights for nondegenerate quasihomogeneous polynomials in C3, which has already been proved by the author [Sae1] and independently by Xu and Yau [Ya1], [Ya2], [XY1], [XY2]. The method in this paper is totally different from their approaches and gives some new results, as corollaries, about holomorphic function germs in C3 which are connected by μ-constant deformations to nondegenerate quasihomogeneous polynomials. For example, we show that two semiquasihomogeneous functions of three complex variables have the same topological type if and only if they are connected by a μ-constant deformation. © 2000 Applied Probability Trust.
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The Rubinstein-Scharlemann graphic of a 3-manifold as the discriminant set of a stable map
Tsuyoshi Kobayashi, Osamu Saeki
Pacific Journal of Mathematics 195 ( 1 ) 101 - 156 2000 （ ISSN:0030-8730 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：University of California, Berkeley
We show that Rubinstein-Scharlemann graphics for 3-manifolds can be regarded as the images of the singular sets (: discriminant set) of stable maps from the 3-manifolds into the plane. As applications of our understanding of the graphic, we give a method for describing Heegaard surfaces in 3-manifolds by using arcs in the plane, and give an orbifold version of Rubinstein-Scharlemann's setting. Then by using this setting, we show that every genus one 1-bridge position of a nontrivial two bridge knot is obtained from a 2-bridge position in a standard manner.
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On infinity-generalized Fibonacci sequences
W Motta, M Rachidi, O Saeki
FIBONACCI QUARTERLY 37 ( 3 ) 223 - 232 1999.8 （ ISSN:0015-0517 ）
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Stable maps between 4-manifolds and elimination of their singularities Reviewed International journal
O. Saeki and K. Sakuma
J. London Math. Soc. 1999.1
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Theory of fibered 3-knots in S^5 and its applications Reviewed
Osamu Saeki
J. Math. Sci. Univ. Tokyo 1999.1
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Gluck surgery along a 2-sphere in a 4-manifold is realized by surgery along a projective plane Reviewed International journal
A. Katanaga, O. Saeki, M. Teragaito, and Y. Yamada
Michigan Math. J. 1999.1
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On punctured 3-manifolds in 5-sphere Reviewed
Osamu Saeki
Hiroshima Math. J. 1999.1
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On algebraic unknotting numbers of knots Reviewed
Osamu Saeki
Tokyo J. Math. 1999.1
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On infinitely generalized Fibonacci sequences Reviewed International journal
W. Motta, M. Rachidi, and O. Saeki
Fibonacci Quarterly 1999.1
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Elimination of singularities: Thom polynomial and beyond Reviewed International journal
O. Saeki and K. Sakuma
Singularity Theory 1999.1
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On the Betti number of the union of two generic map images Reviewed International journal
C. Biasi, A. K. M. Libardi, and O. Saeki
Topology Appl. 1999.1
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Global theory of singularities of differentiable mappings: present status and prospects
SAEKI O.
Sugaku Expositions 12 21 - 37 1999
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Embeddings of quaternion space in S-4
A Katanaga, O Saeki
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 65 313 - 325 1998.12 （ ISSN:0263-6115 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：AUSTRALIAN MATHEMATICS PUBL ASSOC INC
Consider a (real) projective plane which is topologically locally flatly embedded in S-4. It is known that it always admits a 2-disk bundle neighborhood, whose boundary is homeomorphic to the quaternion space Q, the total space of the nonorientable S-1-bundle over RP2 with Euler number +/-2, with fundamental group isomorphic to the quaternion group of order eight. Conversely let f : Q --> S-4 be an arbitrary locally flat topological embedding. Then we show that the closure of each connected component of S-4 - f(Q) is always homeomorphic to the exterior of a topologically locally flatly embedded projective plane in S4. We also show that, for a large class of embedded projective planes in S-4, a pair of exteriors of such embedded projective planes is always realized as the closures of the connected components of S-4 - f(Q) for some locally flat topological embedding f : Q --> S-4.
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On transversality with deficiency and a conjecture of Sard
C Biasi, O Saeki
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 350 ( 12 ) 5111 - 5122 1998.12 （ ISSN:0002-9947 ）
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Let f : M --> N be a C-tau map between C-tau manifolds (tau greater than or equal to 1) and K a C-tau manifold. In this paper, by using the Sard theorem, we study the topological properties of the space of C-tau maps g : K --> N which satisfy a certain transversality condition with respect to f in a weak sense. As an application, by considering the case where K is a point, we obtain some new results about the topological properties of f(R-q(f)), where R-q(f) is the set of points of M where the rank of the differential of f is less than or equal to q. In particular, we show a result about the topological dimension of f(R-q(f)), which is closely related to a conjecture of Sard concerning the Hausdorff measure of f(R-q(f)).
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On special generic maps into R-3
O Saeki, K Sakuma
PACIFIC JOURNAL OF MATHEMATICS 184 ( 1 ) 175 - 193 1998.5 （ ISSN:0030-8730 ）
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Let f : M --> R-p be a smooth map of a closed n-dimensional manifold M into R-p (n greater than or equal to p) which has only definite fold singularities as its singular points. Such a map is called a special generic snap, which was first defined by Burlet and de Rham for (n,p) = (3,2) and later extended to general (n,p) by Porto, Furuya, Sakuma and Saeki. In this paper, we study the global topology of such maps for p = 3 and give various new results, among which are a splitting theorem for manifolds admitting special generic maps into R-3 and a classification theorem of 4- and B-dimensional manifolds with free fundamental groups admitting special generic maps into R-3. Furthermore, we study the topological structure of the surfaces which arise as the singular set of a special generic map into R-3 On a given manifold.
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On topological invariance of weights for quasihomogeneous polynomials Reviewed International journal
Osamu Saeki
Pitman Research Notes in Mathematics Series 1998.1
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Embeddings of quaternion space in S^4 Reviewed International journal
A. Katanaga and O. Saeki
J. Austral. Math. Soc. 1998.1
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Transversality with deficiency and a conjecture of Sard Reviewed International journal
C. Biasi and O. Saeki
Trans. Amer. Math. Soc. 1998.1
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On special generic maps into R^3 Reviewed International journal
O. Saeki and K. Sakuma
Pacific J. Math. 1998.1
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Maps with only Morin singularities and the Hopf invariant one problem Reviewed International journal
O. Saeki and K. Sakuma
Math. Proc. Camb. Phil. Soc. 1998.1
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On the number of singularities of a generic surface with boundary in a 3-manifold Reviewed
J. J. Nuno Ballesteros and O. Saeki
Hokkaido Math. J. 27 1998.1
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On weighted r-generalized Fibonacci sequences
F Dubeau, W Motta, M Rachidi, O Saeki
FIBONACCI QUARTERLY 35 ( 2 ) 102 - 110 1997.5 （ ISSN:0015-0517 ）
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On the Betti number of the image of a generic map
C Biasi, O Saeki
COMMENTARII MATHEMATICI HELVETICI 72 ( 1 ) 72 - 83 1997 （ ISSN:0010-2571 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：BIRKHAUSER VERLAG AG
Let f : M --> N be a differentiable map of a closed m-dimensional manifold into an (m + k)-dimensional manifold with k > 0. We show, assuming that f is generic in a certain sense, that f is an embedding if and only if the (m - k + 1)-th Betti numbers with respect to the Cech homology of M and f(M) coincide, under a certain condition on the stable normal bundle of f. This generalizes the authors' previous result for immersions with normal crossings [BS1]. As a corollary. we obtain the converse of the Jordan-Brouwer theorem for codimension-l generic maps, which is a generalization of the results of [BR, BMS1, BMS2, Sael] for immersions with normal crossings.
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On the self-intersection set and the image of a generic map
C Biasi, O Saeki
MATHEMATICA SCANDINAVICA 80 ( 1 ) 5 - 24 1997 （ ISSN:0025-5521 ）
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Let f: M --> N be a continuous map of a closed m-dimensional manifold into an n-dimensional manifold with k = n - m > 0. We define a primary obstruction to the existence of a homotopy between f and a smooth embedding which is related to the self-intersection set of a generic map homotopic to f. When f is a smooth generic map in the sense of [9], we show that f is a smooth embedding if and only if the primary obstruction vanishes and the (m - k + 1)th Betti numbers of M and the image f(M) coincide, generalizing the authors' previous result [4] for immersions with normal crossings. As a corollary we obtain a converse of the Jordan-Brouwer theorem for codimension-1 generic maps, which is a generalization of the results in [3, 1, 2, 20] for immersions with normal crossings. Using generic maps, we show the vanishing of the primary obstruction for injective maps. Furthermore, for non-generic smooth maps, we find a homology class in the closure of the self-intersection set which corresponds to the primary obstruction.
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On bordism invariance of an obstruction to topological embeddings
C Biasi, O Saeki
OSAKA JOURNAL OF MATHEMATICS 33 ( 3 ) 729 - 735 1996.9 （ ISSN:0030-6126 ）
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Immersed n-manifolds in R(2n) and the double points of their generic projections into R(2n-1)
O Saeki, K Sakuma
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 348 ( 7 ) 2585 - 2606 1996.7 （ ISSN:0002-9947 ）
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We give two congruence formulas concerning the number of nontrivial double point circles and arcs of a smooth map with generic singularities - the Whitney umbrellas - of an n-manifold into R(2n-1), which generalize the formulas by Szucs for an immersion with normal crossings. Then they are applied to give a new geometric proof of the congruence formula due to Mahowald and Lames concerning the normal Euler number of an immersed n-manifold in R(2n). We also study generic projections of an embedded n-manifold in R(2n) into R(2n-1) and prove an elimination theorem of Whitney umbrella points of opposite signs, which is a direct generalization of a recent result of Carter and Saito concerning embedded surfaces in R(4). The problem of lifting a map into R(2n-1) to an embedding into R(2n) is also studied.
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Simplifying stable mappings into the plane from a global viewpoint
M Kobayashi, O Saeki
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 348 ( 7 ) 2607 - 2636 1996.7 （ ISSN:0002-9947 ）
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Let f : M --> R(2) be a C-infinity Stable map of an n-dimensional manifold into the plane. The main purpose of this paper is to define a global surgery operation on f which simplifies the configuration of the critical value set and which does not change the diffeomorphism type of the source manifold M. For this purpose, we also study the quotient space W-f of f, which is the space of the connected components of the fibers of f, and are completely determine its local structure for arbitrary dimension n of the source manifold M. This is a completion of the result of Kushner, Levine and Porto for dimension 3 and that of Furuya for orientable manifolds of dimension 4. We also pay special attention to dimension 4 and obtain a simplification theorem for stable maps whose regular fiber is a torus or a 2-sphere, which is a refinement of a result of Kobayashi.
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Simple stable maps of 3-manifolds into surfaces
O Saeki
TOPOLOGY 35 ( 3 ) 671 - 698 1996.7 （ ISSN:0040-9383 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：PERGAMON-ELSEVIER SCIENCE LTD
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微分可能写像の大域的特異点理論の現状と展望
佐伯修
数学 Vol.48 385 - 399 1996
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A generalization of Alexander's torus theorem to higher dimensions and an unknotting theorem for S^p \times S^q embedded in S^{p+q+2}
Laercio Aparecido Lucas, Oziride Manzoli Neto, Osamu Saeki
Kobe J. Math. 13 ( 2 ) 145 - 165 1996 （ ISSN:0289-9051 ）
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A converse of the Jordan-Brouwer theorem for quasi-regular immersions
Illinois J. Math. Vol.40, pp.108-114 1996
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ON THE BETTI NUMBER OF THE IMAGE OF A CODIMENSION-K IMMERSION WITH NORMAL CROSSINGS
C BIASI, O SAEKI
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 123 ( 11 ) 3549 - 3554 1995.11 （ ISSN:0002-9939 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：AMER MATHEMATICAL SOC
Let f: M --> N be a codimension- k immersion with normal crossings of a closed m-dimensional manifold. We show that f is an embedding if and only if the (m - k + 1)-th Betti numbers of M and f(M) coincide, under a certain condition on the normal bundle of f.
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SEPARATION BY A CODIMENSION-1 MAP WITH A NORMAL CROSSING POINT
O SAEKI
GEOMETRIAE DEDICATA 57 ( 3 ) 235 - 247 1995.10 （ ISSN:0046-5755 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：KLUWER ACADEMIC PUBL
Let f: M(n-1) --> N-n be an immersion with normal crossings of a closed orientable (n - 1)-manifold into an orientable n-manifold. We show, under a certain homological condition, that if f has a multiple point of multiplicity m, then the number of connected components of N - f(M) is greater than or equal to m + 1, generalizing results of Biasi and Romero Fuster (Illinois J. Math. 36 (1992), 500-504) and Biasi, Motta and Saeki (Topology Appl. 52 (1993), 81-87). In fact, this result holds more generally for every codimension-l continuous map with a normal crossing point of multiplicity m. We also give various geometrical applications of this theorem, among which is an application to the topology of generic space curves.
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STABLE MAPS OF 3-MANIFOLDS INTO THE PLANE AND THEIR QUOTIENT-SPACES
W MOTTA, P PORTO, O SAEKI
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 71 158 - 174 1995.7 （ ISSN:0024-6115 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：LONDON MATH SOC
We study stable maps f: M --> R(2) of closed orientable 3-manifolds M into the plane using their quotient spaces, which are defined to be the spaces of the connected components of f-fibres and which are known to be 2-dimensional polyhedra. We show that every 3-manifold admits a stable map whose quotient space is homeomorphic to that of a stable map of S-3. We also deduce a Morse-type inequality for stable maps, which implies that there is no universal stable map of S-3 in the above sense. Certain moves in the quotient spaces corresponding to generic homotopies of stable maps are also studied.
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REMARKS ON THE TOPOLOGY OF FOLDS
S KIKUCHI, O SAEKI
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 123 ( 3 ) 905 - 908 1995.3 （ ISSN:0002-9939 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：AMER MATHEMATICAL SOC
We give some necessary conditions for a closed manifold to admit a smooth map into an Euclidean space with only fold singular points.
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A REMARK ON THE SEPARATION BY IMMERSIONS IN CODIMENSION-1
C BIASI, W MOTTA, O SAEKI
TOPOLOGY AND ITS APPLICATIONS 61 ( 2 ) 179 - 186 1995.2 （ ISSN:0166-8641 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：ELSEVIER SCIENCE BV
Let f:M(n-1) --> N(n) be an immersion with normal crossings from a compact connected (n - 1)-manifold M into a connected, open or compact n-manifold N, where M and N can have boundaries. In this paper, we give a necessary and sufficient condition for f to be an embedding using the number of connected components of N - f(M). We also obtain an estimate from the above for the number of connected components of N - f(M) for f with only double points as its self-intersection points.
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Constructing generic smooth maps of a manifold into a surface with prescribed singular loci
Ann. Inst. Fourier 45 1135 - 1162 1995
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Studying the Topology of Morin Singularities from a Global Viewpoint
Osamu Saeki
Mathematical Proceedings of the Cambridge Philosophical Society 117 ( 2 ) 223 - 235 1995 （ ISSN:1469-8064 ）
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Language：English Publishing type：Research paper (scientific journal)
Let f : M→N be a smooth map of a closed n-manifold into a p-manifold (n ≥p) having only Morin singularities [17]. We study the topology of such a map and obtain a modulo 2 congruence formula involving the Euler characteristics of M, N, the singular sets and the regular fibres of f. We also consider applications of this formula to the existence problem of maps having only fold singular points. Stable maps into 3-manifolds are also studied and we obtain a modulo 2 congruence formula involving the swallow tails and the number of triple points of the discriminant set. © 1995, Cambridge Philosophical Society. All rights reserved.
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Singular surfaces in 3-manifolds, the tangent developable of a space curve and the dual of an immersed surface in 3-space
Pitman Research Notes in Mathematics Series 333 49 - 64 1995
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On Milnor's curvature-torsion invariant for knots and links
Noriyuki Honma, Osamu Saeki
Kobe J. Math. 11 ( 2 ) 225 - 239 1994 （ ISSN:0289-9051 ）
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Stable maps and links in 3-manifolds
Kodai Math. J. 17 518 - 529 1994
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A NOTE ON SEPARATION PROPERTIES OF CODIMENSION-1 IMMERSIONS WITH NORMAL CROSSINGS
C BIASI, W MOTTA, O SAEKI
TOPOLOGY AND ITS APPLICATIONS 52 ( 1 ) 81 - 87 1993.8 （ ISSN:0166-8641 ）
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Language：English Publishing type：Research paper (scientific journal) Publisher：ELSEVIER SCIENCE BV
Let f:M(n-1) --> N(n) be an immersion with normal crossings between closed connected manifolds. The article is concerned with the problem of separation of N by f(M). The main result of this paper is a converse of the Jordan-Brouwer Theorem, under the hypothesis that M is oriented and H1(N; Z2) = 0. More precisely, with the above hypothesis, f is an embedding if and only if N - f(M) has two connected components.
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Simple stable maps of $3$-manifolds into surfaces II
Saeki Osamu
J. Fac. Sci. Univ. Tokyo Vol.40 ( 1 ) 73 - 124 1993 （ ISSN:0040-8980 ）
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Topology of special generic maps of manifolds into Euclidean spaces
Topology Appl. 49 265 - 293 1993
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Topology of special generic maps into R^3
SAEKI O.
Mat. Contem. Vol.5 161 - 186 1993
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Notes on the topology of folds
Osamu Saeki
Journal of the Mathematical Society of Japan 44 ( 3 ) 551 - 566 1992 （ ISSN:1881-1167 ）
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Language：English Publishing type：Research paper (scientific journal)
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On 4-manifolds homotopy equivalent to the 2-sphere
Adv. Stud. Pure Math. 20 301 - 330 1992
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An estimate for the unknotting numbers of torus knots
Topology Appl. 38 293 - 299 1991
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Simply connected 4-manifolds of second betti number 1 bounded by homology lens spaces
Osamu Saeki
Journal of the Mathematical Society of Japan 41 ( 4 ) 593 - 606 1989 （ ISSN:1881-1167 ）
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Language：English Publishing type：Research paper (scientific journal)
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Topological types of complex isolated hypersurface singularities
Kodai Math. J. 12 23 - 29 1989
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Cobordism classification of knotted homology 3-spheres in S^5
Osaka J. Math. 25 213 - 222 1988
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Topological invariance of weights for weighted homogeneous isolated singularities in C^3
Proc. Amer. Math. Soc. 103 905 - 909 1988
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Knotted homology 3-spheres in S^5
J. Math. Soc. Japan 40 65 - 75 1988
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Knotted homology spheres defined by weighted homogeneous polynomials
J. Fac. Sci. Univ. Tokyo 34 43 - 50 1987
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On simple fibered knots in S5 and the existence of decomposable algebraic 3-knots
Osamu Saeki
Commentarii Mathematici Helvetici 62 ( 1 ) 587 - 601 1987 （ ISSN:1420-8946 ）
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Books
Books
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Topology of Singular Fibers of Differentiable Maps
Osamu Saeki（Role：Sole author）
Springer Verlag 2004.1
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Responsible for pages：Lecture Notes in Math., Vol. 1854, Springer-Verlag, 2004. Language：English Book type：Scholarly book
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複素超曲面の特異点
佐伯修，佐久間一浩（Role：Joint translator）
シュプリンガー東京 2003.1
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Language：Japanese Book type：Scholarly book
Singular Points of Complex Hypersurfaces, J. W. Milnor, Translated into Japanese by O. Saeki and K. Sakuma, Springer Verlag Tokyo, 2003.
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特性類講義
佐伯修，佐久間一浩（Role：Joint translator）
シュプリンガー東京 2001.1
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Language：Japanese Book type：Scholarly book
Characteristic Classes, J. W. Milnor and J. D. Stasheff, Translated into Japanese by O. Saeki and K. Sakuma, Springer Verlag Tokyo, 2001.
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幾何学と特異点
泉屋周一，佐野貴志，佐伯修，佐久間一浩（Role：Joint author）
共立出版 2001.1
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Language：Japanese Book type：Scholarly book
Geometry and Singularities (in Japanese), S. Izumiya, T. Sano, O. Saeki and K. Sakuma, Kyoritsu Publ., 2001.
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2023度採択分 九州大学マス・フォア・インダストリ研究所 共同利用研究集会「WORKSHOP on Mathematics for Industry 2023--Basis of Mathematics in nanomedicine structures and life sensing」
Osamu Saeki, Wojciech Domitrz, Stanislaw Janeczko, Marcin Zubilewicz, Michal Zwierzynski（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2024.3
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Responsible for pages：MIレクチャーノート，Vol.95 Language：English Book type：Scholarly book
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材料科学における幾何と代数 IV
松谷茂樹, 緒方勇太, 落合啓之, 加葉田雄太朗, 佐伯修, 濱田裕康, 松江要（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2023.11
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Responsible for pages：マス・フォア・インダストリ研究，No.~26 Language：Japanese Book type：Scholarly book
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Proceedings of Forum "Math-for-Industry" 2021 -Mathematics for Digital Economy-
Osamu Saeki, Ho Tu Bao, Shizuo Kaji, Kenji Kajiwara, Nguyen Ha Nam, Ta Hai Tung, Melanie Roberts, Masato Wakayama, Le Minh Ha and Philip Broadbridge（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2022.3
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Language：English Book type：Scholarly book
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Fiber Topology Meets Applications 2
Daisuke Sakurai, Osamu Saeki, Shigeo Takahashi, Hamish Carr, Takahiro Yamamoto and Naoki Hamada（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2022.3
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Language：English Book type：Scholarly book
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2020年度採択分 九州大学マス・フォア・インダストリ研究所 共同利用研究集会 進化計算の数理
濱田直希，穴井宏和，梅田裕平，千葉一永，佐藤寛之，能島裕介，加葉田雄太朗，一木俊助，早野健太，佐伯修（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2022.2
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Language：Japanese Book type：Scholarly book
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材料科学における 幾何と代数 III
松谷 茂樹，落合 啓之，井上 和俊，小磯 深幸，佐伯 修，白井 朋之，垂水 竜一，内藤 久資，中川 淳一，濵田 裕康，松江 要，加葉田 雄太朗（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2022.1
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Language：Japanese Book type：Scholarly book
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Big Data Analysis, AI, Fintech, Math in Finances and Economics
Jin Cheng, Xu Dinghua, Osamu Saeki and Tomoyuki Shirai（Role：Edit）
Springer Nature 2022.1
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Language：English Book type：Scholarly book
The two key terminologies, big data analysis and AI, are now indispensable in finances and economics in the world. Thus, without mathematics or statistics, we cannot talk about today’s society. In these circumstances, we organized the conference, Forum “Math-for-Industry” 2018 (FMfI2018), at Fudan University, Shanghai, China, during November 17–21, 2018, for which the unifying theme was “Big Data Analysis, AI, Fintech, Math in Finances and Economics.” We are sure that the theme was very timely and made a big success not only in the industrial mathematics community, but also in industry. This book is the proceedings of the conference and collects together selected papers presented there. The topics covered in the conference are spatial financial risks, foreign exchange markets, option pricing, evolution of copulas, inverse problems connected to financial mathematics, DNN with uncertainty quantification, reinforcement learning, estimation error analysis of deep learning, integration ofAI to agriculture, functional clothing design, application of singularity theory, history of modern mathematics in Vietnam, etc.
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Proceedings of the Forum "Math-for-Industry" 2019 -Mathematics for the Primary Industries and the Environment-
Robert McKibbin, Graeme Wake, Osamu Saeki（Role：Edit）
Springer 2022.1
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Language：English Book type：Scholarly book
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川村 一宏, 石川 剛郎 , 大槻 知忠, 佐伯 修 , 三松 佳彦
共立出版 2022 （ ISBN:9784320115019 ）
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材料科学における 幾何と代数 II
松谷茂樹, 井上和俊, 落合啓之, 佐伯 修, 垂水竜一, 内藤久資, 中川淳一, 濵田裕康, 松江 要（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2021.11
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Language：Japanese Book type：Scholarly book
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Fiber Topology Meets Applications
Daisuke Sakurai, Shigeo Takahashi, Naoki Hamada, Osamu Saeki, Hamish Carr, Takahiro Yamamoto（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2021.3
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Language：Japanese Book type：Scholarly book
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材料科学における 幾何と代数 I
松谷茂樹，井上和俊，加葉田雄太朗，佐伯 修，垂水竜一，内藤久資，中川淳一，濵田裕康（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2020.11
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Language：Japanese Book type：Scholarly book
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Osamu Saeki, Toru Ohmoto, Wojciech Domitrz（Role：Edit）
Worldwide Center of Mathematics, LLC 2020.1
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Responsible for pages：Journal of Singularities, Vol.21 Language：English Book type：Scholarly book
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結晶の界面，転位，構造の先進数理解析
松谷 茂樹、佐伯 修、中川 淳一、濵田 裕康、富安 亮子（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2019.12
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Language：Japanese Book type：Scholarly book
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松谷茂樹，佐伯修，中川淳一，濵田裕康，上坂正晃（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2019.1
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Responsible for pages：マス・フォア・インダストリ研究，No.11 Language：Japanese Book type：Scholarly book
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結晶の界面、転位、構造の数理
松谷茂樹，佐伯修，中川淳一，田上大助，上坂正晃，Pierluigi Cesana，濵田裕康（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2017.4
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Responsible for pages：MIレクチャーノート，Vol.77 Language：Japanese Book type：Scholarly book
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The Role and Importance of Mathematics in Innovation
B. Anderssen, P. Broadbridge, Y. Fukumoto, N. Kamiyama, Y. Mizoguchi, K. Polthier, and O. Saeki（Role：Edit）
Springer 2017.4
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Responsible for pages：Mathematics for Industry, Vol. 25 Language：English Book type：Scholarly book
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School on Real and Complex Singularities in Sao Carlos, 2012
佐伯 修, Raimundo Nonato Araujo dos Santos, Victor Hugo Jorge Perez, Takashi Nishimura（Role：Edit）
2016.8
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Language：English Book type：Scholarly book
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結晶のらせん転位の数理
松谷茂樹，佐伯修，中川淳一，上坂正晃，濱田裕康（Role：Edit）
九州大学マス・フォア・インダストリ研究所 2016.4
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Responsible for pages：マス・フォア・インダストリ研究，No.6 Language：Japanese Book type：Scholarly book
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Singularities in Geometry and Topology 2011
佐伯 修, V. Blanloeil（Role：Edit）
2015.5
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Language：English Book type：Scholarly book
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A Mathematical Approach to Research Problems of Science and Technology
OSAMU SAEKI, Ryuei Nishii, Miyuki Koiso, OCHIAI HIROYUKI, Kanzo OKADA, Tomoyuki Shirai, Shingo Saito, Shin-ichiro Ei（Role：Joint author）
Springer 2014.7
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Language：English Book type：Scholarly book
In many scientific situations, a given set of large data, obtained through simulation or experiment, can be considered to be a discrete set of sample values of a differentiable map between Euclidean spaces or between manifolds. From such a viewpoint, this article explores how the singularity theory of differentiable maps is useful in the visualization of such data. Special emphasis is put on Reeb graphs for scalar functions and on singular fibers of multi-variate functions.
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多様体の広がり
深谷賢治等２６名（Role：Joint author）
サイエンス社 2008.4
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Language：Japanese Book type：General book, introductory book for general audience
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技術に生きる現代数学
若山正人、二宮嘉行、谷口説男、金子昌信、福本康秀、佐伯修（Role：Joint author）
岩波書店 2008.2
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Language：Japanese Book type：General book, introductory book for general audience
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Proceedings of the XI Brazilian Topology Meeting
S. Firmo, D.L. Goncalves and O. Saeki（Role：Edit）
World Scientific 2000.1
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Language：English Book type：Scholarly book
Presentations
Presentations
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Special generic maps I, II, Singular fibers of generic maps I, II, Simplifying generic maps I, II,（連続6講演） Invited International conference
Osamu Saeki
Singularity theory and geometric topology 2022.10
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Event date： 2022.10
Language：English Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
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ジェネリックな可微分写像の大域的特異点論 Invited
佐伯修
2022年度秋季総合分科会 2022.9
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Event date： 2022.9
Language：Japanese Presentation type：Oral presentation (general)
Venue：北海道大学 Country：Japan
One of the most popular methods to study the topological structure of a given differentiable manifold is to use Morse functions. Such functions can be regarded as generic differentiable maps into the real line. Then, what happens if we consider generic maps into general dimensional Euclidean spaces or manifolds? This might have been a motivation of Whitney or Thom around the middle of the 20th century for studying singularities of differentiable maps between manifolds. In this talk, following such an idea, the speaker surveyed some studies of structures of manifolds by using generic differentiable maps, and some global studies of generic differentiable
maps with singularities themselves, including recent developments. -
Simplified broken Lefschetz fibrations and trisections of 4-manifolds Invited
佐伯修
研究集会 Intelligence of Low-dimensional Topology 2018.5
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Event date： 2018.5 - 2018.6
Language：English Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
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安定写像と多様体のトポロジー Invited
佐伯 修
日本数学会2015年度秋季総合分科会 2015.9
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Event date： 2015.9
Language：Japanese Presentation type：Oral presentation (general)
Venue：京都産業大学 Country：Japan
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Topology of singular fibers for visualization Invited International conference
佐伯 修
Topology-Based Methods in Visualization 2015 2015.5
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Event date： 2015.5
Language：English Presentation type：Oral presentation (general)
Venue：Kurhaus Trifels, Annweiler Country：Germany
Topology of singular fibers for visualization
Other Link： http://imi.kyushu-u.ac.jp/~saeki/pdf/saeki220.pdf
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Broken Lefschetz fibrations and their moves Invited International coauthorship International conference
Osamu Saeki
Geometry and topology of smooth 4-manifolds 2013.6
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Event date： 2013.6
Language：English Presentation type：Oral presentation (invited, special)
Venue：Max Planck Institute Country：Germany
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Singular fibers of differentiable maps and 4-dimensional cobordism group
佐伯修
トポロジーと写像の特異点 2009.6
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Event date： 2009.6
Presentation type：Oral presentation (general)
Venue：信州大学 Country：Japan
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特異点と特性類 --- 具体例の果たす重要な役割 Invited
佐伯修
日本数学会 2007 年度秋季総合分科会 2007.9
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Event date： 2007.9
Presentation type：Oral presentation (invited, special)
Venue：東北大学 Country：Japan
Singularities and Characteristic Classes -- important roles played by explicit examples
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Introduction to singular fibers of differentiable maps: theory and examples Invited
佐伯修
特異点における不変量 2005.6
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Event date： 2005.6
Presentation type：Oral presentation (invited, special)
Venue：近畿大学 Country：Japan
Introduction to singular fibers of differentiable maps: theory and examples
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Topology of manifolds and singularities of differentiable maps
佐伯修
多様体のトポロジーの未来へ 2004.11
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Event date： 2004.11
Presentation type：Oral presentation (general)
Venue：東京大学 Country：Japan
Topology of manifolds and singularities of differentiable maps
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Topology of Reeb spaces of smooth functions on manifolds (mini course, 2 lectures) Invited International conference
Osamu Saeki
The 20th East Asian Conference on Geometric Topology 2025.2
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Event date： 2025.2
Language：English
Venue：The University of Tokyo Country：Japan
多様体上の関数のレーブ空間が有限グラフ構造を持つための簡単な十分条件、そして完全な必要十分条件を明らかにした結果について、初学者にもわかるように２回にわたる連続講演で解説を行った。
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Simplifying generic smooth maps to the 2-sphere and to the plane
佐伯修
研究集会 「接触構造、特異点、微分方程式及びその周辺」 2025.1
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Event date： 2025.1
Language：Japanese Presentation type：Oral presentation (general)
Venue：金沢駅前サテライト Country：Japan
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多様体上の可微分関数の Reeb 空間について Invited
佐伯修
研究集会 「多様体のトポロジーの進展」 2024.11
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Event date： 2024.11
Language：Japanese Presentation type：Oral presentation (invited, special)
Venue：東京大学大学院数理科学研究科 Country：Japan
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Computing Reeb space using multi-dimensional Reeb graph Invited International coauthorship
佐伯修
機械学習と数理モデルの融合と理論の深化Ⅱ 2024.10
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Event date： 2024.10
Language：Japanese Presentation type：Oral presentation (invited, special)
Venue：九重共同研究所・山の家 Country：Japan
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Simplifying generic smooth maps to the 2-sphere and to the plane Invited International conference
Osamu Saeki
Séminaire Géométrie et application 2024.9
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Event date： 2024.9
Language：English Presentation type：Oral presentation (invited, special)
Venue： Institut de recherche mathématique avancée (IRMA), University of Strasbourg Country：France
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Special generic maps and Gromoll filtration Invited International conference
Osamu Saeki
Polish-Japanese Singularity Theory Working Days 2024 2024.9
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Event date： 2024.9
Language：English Presentation type：Oral presentation (invited, special)
Venue：Warsaw University of Technology Country：Poland
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Reeb spaces of smooth functions on manifolds Invited International conference
Osamu Saeki
Geometry, Topology of Singular Submanifolds and Related Topics 2024.8
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Event date： 2024.8
Language：English Presentation type：Oral presentation (invited, special)
Venue：Changchun Country：China
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Simplifying generic smooth maps to the 2-sphere and to the plane International conference
Osamu Saeki
International Workshop on Real and Complex Singularities 2024.7
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Event date： 2024.7
Language：English Presentation type：Oral presentation (general)
Venue：Valencia Country：Spain
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トポロジーを用いてデータ構造を可視化する Invited
佐伯修
数学と脳科学の連携に向けたワークショップ 2023.12
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Event date： 2023.12
Language：Japanese Presentation type：Oral presentation (general)
Venue：九州大学日本橋サテライト Country：Japan
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微分トポロジーを用いたデータの可視化 Invited
佐伯修
数理工学センター（MCME）セミナー 2023.12
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Event date： 2023.12
Language：Japanese Presentation type：Oral presentation (general)
Venue：武蔵野大学有明キャンパス４号館303教室 Country：Japan
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Reeb spaces of smooth functions on manifolds International conference
Osamu Saeki
7th International Workshop on Singularities in Geometry and applications, Valencia VII 2023.11
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Event date： 2023.11
Language：English Presentation type：Oral presentation (general)
Venue：Universidade Federal do Ceara, Departamento de Matematica Country：Brazil
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Special generic maps and Gromoll filtration Invited International conference
Osamu Saeki
Workshop on Algebraic Topology and Applications, Homenagem ao Prof. Oziride Manzoli Neto 2023.11
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Event date： 2023.11
Language：English Presentation type：Oral presentation (general)
Venue：Online, Instituto de Ciencias Matematicas e de Computacao-ICMC, USP, Sao Carlos/SP Country：Brazil
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Generalization of Reeb spaces and application to data visualization International conference
Osamu Saeki
WORKSHOP on Mathematics for Industry，Basis of Mathematics in nanomedicine structures and life sensing 2023.9
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Event date： 2023.9
Language：English Presentation type：Oral presentation (general)
Venue：Warsaw Country：Poland
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Viewing manifolds through singularities, 数学に導かれて Invited
佐伯修
おいでMath談話会 (Online) 2023.7
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Event date： 2023.7
Language：English Presentation type：Oral presentation (general)
Venue：オンライン Country：Japan
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Round fold maps of n-dimensional manifolds into (n − 1)-dimensional Euclidean space Invited International conference
Osamu Saeki
Seminar at Heidelberg University 2023.3
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Event date： 2023.3
Language：English Presentation type：Oral presentation (general)
Venue：Heidelberg University Country：Germany
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Generalization of Reeb Spaces and Application to Data Visualization International conference
Osamu Saeki
2023 SIAM Conference on Computational Science and Engineering 2023.3
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Event date： 2023.3
Language：English Presentation type：Oral presentation (general)
Venue：RAI Congress Centre, Amsterdam Country：Netherlands
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Differentiable maps on links of complex isolated singularities Invited
佐伯修
可微分写像の特異点論とその応用，鈴木正彦先生退職記念研究集会 2023.2
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Event date： 2023.2
Language：Japanese Presentation type：Oral presentation (general)
Venue：日本大学文理学部 Country：Japan
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Institute of Mathematics for Industry: its uniqueness, strength and prospects Invited International conference
Osamu Saeki
The 6th RIKEN-IMI-ISM-NUS-ZIB-MODAL-NHR Workshop on Advances in Classical and Quantum Algorithms for Optimization and Machine Learning 2022.9
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Event date： 2022.9
Language：English Presentation type：Oral presentation (general)
Venue：九州大学伊都キャンパス Country：Japan
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Topology of Reeb spaces of smooth functions on manifolds Invited International conference
Osamu Saeki
17th International Workshop on Real and Complex Singularities 2022.7
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Event date： 2022.7
Language：English Presentation type：Oral presentation (general)
Venue：Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus São Carlos, Brazil Country：Brazil
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Simplifying generic mappings into S^2 and R^2
佐伯修
研究集会「位相幾何・微分幾何及びその周辺分野への特異点論の応用」 2022.6
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Event date： 2022.6
Language：Japanese Presentation type：Oral presentation (general)
Venue：online Country：Japan
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Topology of Reeb spaces of smooth functions on manifolds Invited
佐伯修
研究集会「多様体と特異点」佐伯修還暦記念研究集会 2022.5
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Event date： 2022.5
Language：Japanese Presentation type：Oral presentation (general)
Venue：オンライン Country：Japan
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Graduate Program of Mathematics for Innovation - Nurturing Mathematical Modeling Talents with Mathematics Five Forces Invited International conference
O. Saeki
The 3rd International Symposium on AI Electronics 2022.2
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Event date： 2022.2
Language：English Presentation type：Oral presentation (general)
Country：Japan
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Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space Invited International conference
O. Saeki
JSPS-VAST Bilateral Joint Research Project Workshop "Singularities, arrangements, and low-dim. topology" 2021.12
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Event date： 2021.12
Language：English Presentation type：Oral presentation (general)
Venue：オンライン Country：Japan
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Reeb diagram and visualization of monodromy Invited International conference
O. Saeki
Fiber Topology Meets Applications 2 2021.12
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Event date： 2021.12
Language：English Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
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九大IMIにおける産業界・諸科学分野との連携と人材育成の取組 Invited
佐伯修
社会課題は数理科学で解決できる！？ －試みと課題－ 2021.10
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Event date： 2021.10
Language：Japanese Presentation type：Oral presentation (general)
Venue：オンライン Country：Japan
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Institute of Mathematics for Industry ― driving force of mathematics for the future Invited International conference
O. Saeki
5th ZIB-RIKEN-IMI-ISM MODAL Workshop on Optimization, Data Analysis and HPC in AI 2021.9
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Event date： 2021.9
Language：English Presentation type：Oral presentation (general)
Venue：オンライン Country：Japan
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安定写像の非特異ファイバーのなす絡み目と特異点集合の位置 Invited
佐伯修
研究集会「結び目理論」 2021.9
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Event date： 2021.9
Language：Japanese Presentation type：Oral presentation (general)
Venue：オンライン Country：Japan
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Collaborative Activities in Research and Education at the Institute of Mathematics for Industry Invited International conference
O. Saeki
MYHIMS-C SPECIAL SESSION "Industrial Mathematics in Asia Pacific and European Region", MYHIMS-C 2021, Malaysia 2021.8
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Event date： 2021.8
Language：English Presentation type：Oral presentation (general)
Venue：オンライン Country：Malaysia
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Quick Survey of Reeb Spaces in Topology and Visualization Invited
O. Saeki
高次元多様体の世界の幾何的構成的な理解と高次元データへの応用 2021.7
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Event date： 2021.7
Language：Japanese Presentation type：Oral presentation (general)
Venue：オンライン Country：Japan
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Round fold maps on 3-manifolds
O. Saeki
特異点論の未来 2021.6
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Event date： 2021.6
Language：Japanese Presentation type：Oral presentation (general)
Venue：オンライン Country：Japan
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Data Visualization using Differential Topology Invited International conference
Osamu Saeki
The 25th Annual Meeting in Mathematics: "Mathematics for Innovation Development" 2021.5
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Event date： 2021.5
Language：English Presentation type：Oral presentation (invited, special)
Venue：Faculty of Science, KMITL Country：Thailand
First, as director of the Institute of Mathematics for Industry (IMI), KyushuUniversity, I will give a brief introduction of IMI, including various activities in col-laboration with industrial partners. In the second part, I will explain how differentialtopology in Mathematics can provide novel techniques for visualization of large scaledata. In general, scientific data obtained by a simulation or an experiment can berepresented as a discrete set of sample points of a smooth map between manifolds.In computer science, visualization of such data has long been studied, and it hasbeen clarified that differential topological techniques are essential for such visualiza-tion. However, they are encountering various mathematical difficulties for furtherdevelopment. In this talk, we first survey existing techniques based on Morse the-ory. Then, we present recently developed visualization techniques based on singularfibers of generic maps and their Stein factorizations. We also present the reversedirection: in fact, these visualization techniques can also be used for the research ofsingularity theory in Mathematics as a new tool.
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Simplifying Indefinite Fibrations on 4-manifolds International conference
Osamu Saeki
Fiber Topology Meets Applications 2021.1
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Event date： 2021.1
Language：English Presentation type：Oral presentation (general)
Venue：Kyushu University Country：Japan
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Simplifying broken Lefschetz fibrations and trisections of 4-manifolds Invited International conference
Osamu Saeki
Topology Seminar (Online Seminar), Kansas State University 2020.10
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Event date： 2020.10
Language：English Presentation type：Oral presentation (general)
Venue：Kansas State University Country：United States
We present explicit algorithms for simplifying the topology of indefinite fibrations on 4-manifolds, which include broken Lefschetz fibrations and indefinite generic maps, from the viewpoint of singularity theory. These algorithms allow us to give purely topological and constructive proofs of the existence of simplified broken Lefschetz fibrations on general 4-manifolds, and a theorem of Auroux-Donaldson-Katzarkov on the existence of simplified broken Lefschetz pencils on near-symplectic 4-manifolds. We moreover establish a correspondence between broken Lefschetz fibrations and trisections of 4-manifolds, and show the existence of simplified trisections on all 4-manifolds. Based on this correspondence, we provide several examples of simplified trisections.
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Reeb graphs of smooth functions on manifolds
Osamu Saeki
研究集会「可微分写像の特異点論とその応用」 2019.12
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Event date： 2019.12
Language：English Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
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Data visualization using differential topology Invited International conference
Osamu Saeki
2019 International Joint Conference on AI & Data Science: Mathematics and Applications 2019.11
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Event date： 2019.11
Language：English Presentation type：Oral presentation (general)
Venue：Suwon Convention Center, Suwon Country：Korea, Republic of
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Manifolds admitting fold-cusp maps of certain restricted indices
Osamu Saeki
特異点論とトポロジー 2019.7
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Event date： 2019.7
Language：English Presentation type：Oral presentation (general)
Venue：九州大学伊都キャンパス Country：Japan
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PhD Program in Mathematics for Key Technologies - Attempt of Kyushu University International conference
Osamu Saeki
Mathematics for Industry in the Asia Pacific Area - Part 2 of 2, ICIAM2019 Minisymposium 2019.7
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Event date： 2019.7
Language：English Presentation type：Oral presentation (general)
Venue：Valencia Country：Spain
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Unlinking singular loci from regular fibers and its application to submersions Invited
Osamu Saeki
Lefschetz Pencils and Low dimensional Topology 2019.6
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Event date： 2019.5 - 2019.6
Language：English Presentation type：Oral presentation (general)
Venue：Hokkaido University Country：Japan
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Data visualization using differential topology Invited International conference
Osamu Saeki
2019 National Taiwan Normal University (NTNU)-Kyushu University Joint Forum 2019.5
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Event date： 2019.5
Language：English Presentation type：Oral presentation (general)
Venue：National Taiwan Normal University Country：Taiwan, Province of China
Other Link： http://www.math.ntnu.edu.tw/news/news.php?Sn=1298
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Examples from our Study Group Activities in Industrial Mathematics Invited International conference
Osamu Saeki
Colloquium, Ajou University 2019.3
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Event date： 2019.3
Language：English Presentation type：Oral presentation (general)
Venue：Ajou University, Suwon Country：Korea, Republic of
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Unlinking singular locus from regular fibers and its application to submersions Invited
Osamu Saeki
The 14th Kagoshima Algebra-Analysis-Geometry Seminar 2019.2
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Event date： 2019.2
Language：English Presentation type：Oral presentation (general)
Venue：Faculty of Science, Kagoshima University Country：Japan
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Unlinking singular locus from regular fibers and its application to submersions
佐伯修
接触構造、特異点、微分方程式及びその周辺 2019.1
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Event date： 2019.1
Language：Japanese Presentation type：Oral presentation (general)
Venue：静岡県男女共同参画センター「あざれあ」 Country：Japan
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Examples from our Study Group Activities Invited International conference
Osamu Saeki
The 2nd NIMS Industrial Math Problem Solving Workshop 2018.12
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Event date： 2018.12
Language：English Presentation type：Oral presentation (general)
Venue：NIMS (National Institute for Mathematical Sciences) Country：Korea, Republic of
Other Link： https://www.nims.re.kr/eng/announce/post/eng_general/33099
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Unlinking singular locus from regular fibers and its application to submersions Invited
Osamu Saeki
Geometry, Topology and Dynamics Seminar, Okinawa Institute of Science and Technology 2018.10
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Event date： 2018.10
Language：English Presentation type：Oral presentation (general)
Venue：Okinawa Institute of Science and Technology Country：Japan
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Elimination of definite fold for simple stable maps Invited
Osamu Saeki
Real Algebraic Geometry and Singularity Theory Symposium (Memorial Conference of Masahiro Shiota) 2018.9
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Event date： 2018.9
Language：English Presentation type：Oral presentation (general)
Venue：兵庫教育大学 神戸ハーバーランドキャンパス 兵教ホール Country：Japan
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Simplifying broken Lefschetz fibrations and trisections of 4-manifolds
Osamu Saeki
Four Dimensional Topology 2018.9
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Event date： 2018.9
Language：English Presentation type：Oral presentation (general)
Venue：Osaka City University Country：Japan
Other Link： http://www.sci.osaka-cu.ac.jp/OCAMI/activities/symposium/2018/4top201809/program.html
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Singular locus and regular fibers, do they link each other ? Invited International conference
Osamu Saeki
15th International Workshop on Real and Complex Singularities 2018.7
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Event date： 2018.7
Language：English Presentation type：Oral presentation (general)
Venue：ICMC, Univ. of São Paulo Country：Brazil
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微分トポロジーを用いたデータの可視化 Invited
佐伯修
２０１８年度精密工学会 春季大会シンポジウム「AIMaP 数学応用シンポジウム：精密工学と幾何学の新たな出会い」 2018.3
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Event date： 2018.3
Language：Japanese Presentation type：Oral presentation (general)
Venue：中央大学 後楽園キャンパス Country：Japan
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Singular set and regular fibers, do they link each other? International conference
Osamu Saeki
特異点論とその応用【泉屋周一先生退職記念研究集会】 2018.2
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Event date： 2018.2
Language：English Presentation type：Oral presentation (general)
Venue：北海道大学 Country：Japan
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Simplifying indefinite fibrations and trisections of 4-manifolds Invited International conference
Osamu Saeki
The 13th Kagoshima Algebra-Analysis-Geometry Seminar 2018.2
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Event date： 2018.2
Language：English Presentation type：Oral presentation (general)
Venue：Kagoshima University Country：Japan
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Simplifying indefinite fibrations on 4-manifolds Invited
佐伯修
半田山・代数・幾何セミナー 2017.12
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Event date： 2017.12
Language：Japanese Presentation type：Oral presentation (general)
Venue：岡山理科大学 Country：Japan
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Topologia das singularidades e teoria de nós Invited International conference
Osamu Saeki
IV Encontro de Singularidades no Nordeste 2017.11
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Event date： 2017.11
Language：Others Presentation type：Oral presentation (general)
Venue：Departamento de Matemática da Universidade Federal da Paraíba, João Pessoa Country：Brazil
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Elimination of definite fold II
Osamu Saeki
可微分写像の特異点論の局所的研究と大域的研究 2017.11
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Event date： 2017.11
Language：English Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
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A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces Invited International conference
Osamu Saeki
Australian-Japanese Workshop on Real and Complex Singularities 2017.9
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Event date： 2017.9
Language：English Presentation type：Oral presentation (general)
Venue：The University of Sydney Country：Australia
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Global aspect of singularity theory
佐伯修
ベクトル値滑層分割Morse理論の構築による多数目的最適化問題の解集合の可視化 2017.9
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Event date： 2017.9
Language：Japanese Presentation type：Oral presentation (general)
Venue：マス・フォア・インダストリ研究所短期共同研究 Country：Japan
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Simplifying indefinite fibrations on 4-manifolds International conference
Osamu Saeki
Geometric and Algebraic Singularity Theory 2017.9
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Event date： 2017.9
Language：English Presentation type：Oral presentation (general)
Venue：Bedlewo Country：Poland
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A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces Invited International conference
Osamu Saeki
PRIMA 3rd Congress, Singularities of Spaces and Mappings 2017.8
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Event date： 2017.8
Language：English Presentation type：Oral presentation (general)
Venue：Oaxaca Country：Mexico
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Indefinite fibrations on differentiable 4-manifolds Invited International conference
Osamu Saeki
Brazil-Mexico 3rd Meeting on Singularities 2017.8
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Event date： 2017.8
Language：English Presentation type：Oral presentation (general)
Venue：UNAM, Unidad Cuernavaca, Cuernavaca Country：Mexico
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Introduction to singularity theory and fiber topology in multivariate data analysis Invited International conference
Osamu Saeki
Topology, Computation and Data Analysis, Dagstuhl Seminar 17292 2017.7
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Event date： 2017.7
Language：English Presentation type：Oral presentation (general)
Venue：Schloss Dagstuhl – Leibniz Center for Informatics Country：Germany
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安定写像の特異ファイバーとその応用 Invited
佐伯修
RIMS-IMI談話会 2017.2
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Event date： 2017.2
Language：Japanese Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
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Indefinite fibrations on 4-manifolds Invited International conference
Osamu Saeki
Differential Geometry, Lie Theory and Low Dimensional Topology 2016.12
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Event date： 2016.12
Language：English Presentation type：Oral presentation (general)
Venue：La Trobe University, Melbourne Country：Australia
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A Vassiliev type invariant of order one for stable maps of 3-manifolds into surfaces
Osamu Saeki
可微分写像の特異点論とその応用 2016.12
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Event date： 2016.12
Language：English Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
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Stable maps on 3-manifolds and signatures of 4-manifolds with boundary
佐伯修
研究集会「４次元トポロジー」 2016.11
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Event date： 2016.11
Language：Japanese Presentation type：Oral presentation (general)
Venue：大阪市立大学理学部 Country：Japan
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微分トポロジーによるデータ可視化 Invited
佐伯修
日本機械学会2016年度年次大会，産業に応える数学 ―幾何・統計・計算数学からものづくりへ― 2016.9
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Event date： 2016.9
Language：Japanese Presentation type：Oral presentation (general)
Venue：九州大学伊都キャンパス Country：Japan
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らせん転位の数学的表現の現状とその問題点
佐伯 修
結晶のらせん転位の数理 2016.9
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Event date： 2016.9
Language：Japanese Presentation type：Oral presentation (general)
Venue：九州大学マス・フォア・インダストリ研究所 Country：Japan
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トポロジーでデータ構造を解析する Invited
佐伯 修
第10回設計情報学研究会 2016.8
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Event date： 2016.8
Language：Japanese Presentation type：Oral presentation (general)
Venue：KKRホテル熊本 Country：Japan
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可微分多様体上の安定写像のトポロジー(I), (II) Invited
佐伯 修
研究集会「特異点の大域的研究」 2016.6
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Event date： 2016.6
Language：Japanese Presentation type：Oral presentation (general)
Venue：兵庫教育大学神戸ハーバーランドキャンパス Country：Japan
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Visualizing Singular Fibers － UI & Impacts －
佐伯 修, Daisuke Sakurai, Hamish Carr, Hsiang-Yun Wu, Takahiro Yamamoto, David Duke, Kenji Ono, Shigeo Takahashi
Software in Mathematics Demonstration Track in Hakata Workshop 2016 2016.2
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Event date： 2016.2
Language：Japanese
Venue：IMI百道オフィス、福岡 Country：Japan
Visualizing Singular Fibers － UI & Impacts －
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写像の特異点論とデータ可視化 Invited
佐伯 修
共共拠点研究会 RIMS1963-IMI2013 2015.12
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Event date： 2015.12
Language：Japanese Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
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組織構造の斬新な数学的解析手法～トポロジーとその考え方 Invited
佐伯 修
第67回白石記念講座「新しい世紀の形態計量学－数学と鉄鋼研究のコラボレーション－」 2015.11
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Event date： 2015.11
Language：Japanese Presentation type：Oral presentation (general)
Venue：早稲田大学 Country：Japan
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Singularity Theory and Data Visualization Invited International conference
佐伯 修
第9回 La Trobe-Kyushu Joint Seminar on Mathematics for Industry 2015.11
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Event date： 2015.11
Language：English Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
Singularity Theory and Data Visualization
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Singularity theory and data visualization International conference
佐伯 修
The 3rd Franco-Japanese-Vietnamese Symposium on Singularities 2015.12
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Event date： 2015.11 - 2015.12
Language：English
Venue：Institute of Mathematics, Vietnam Academy of Science and Technology, Ha Noi Country：Viet Nam
Singularity theory and data visualization
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Non-trivial real Milnor fibrations Invited
佐伯 修
Mini-Symposium “Topology and singularities” 2015.10
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Event date： 2015.10
Language：Japanese Presentation type：Oral presentation (general)
Venue：学習院大学 Country：Japan
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Singularity theory and data visualization Invited International conference
佐伯 修
Geometric Singularity Theory, Polish-Japanese Singularity Theory Working Days 2015.9
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Event date： 2015.9
Language：English Presentation type：Oral presentation (general)
Venue：Banach Center, Warsaw Country：Poland
Singularity theory and data visualization
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組織構造の斬新な数学的解析手法 ～ トポロジーとその考え方 Invited
佐伯 修
鉄鋼インフォマティクス研究会第6回研究会 2015.9
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Event date： 2015.9
Language：Japanese Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
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Cobordism group of Morse functions on surfaces with boundary Invited International conference
佐伯 修
Brazil-Mexico 2nd Meeting on Singularities - 2015 2015.7
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Event date： 2015.7
Language：English Presentation type：Oral presentation (general)
Venue：Federal University of Bahia Country：Brazil
Cobordism group of Morse functions on surfaces with boundary
Other Link： http://imi.kyushu-u.ac.jp/~saeki/pdf/Brasil2015-v4p.pdf
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New examples of non-trivial real Milnor fibrations Invited International conference
佐伯 修
Singularities in Generic Geometry and applications 2015.6
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Event date： 2015.6
Language：English Presentation type：Oral presentation (general)
Venue：神戸大学百年記念館六甲ホール，神戸大学 Country：Japan
New examples of non-trivial real Milnor fibrations
Other Link： http://imi.kyushu-u.ac.jp/~saeki/pdf/Kobe2015-v3-1.pdf
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Singular fibers and data visualization Invited International coauthorship
佐伯 修
可微分写像の特異点論とその応用 2014.12
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Event date： 2014.12
Language：Japanese Presentation type：Oral presentation (invited, special)
Venue：京都大学数理解析研究所 Country：Japan
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やわらかい幾何学、トポロジーでデータ構造を解析する Invited
佐伯 修
九州大学テクノロジーフォーラム2014，セッションII 2014.12
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Event date： 2014.12
Language：Japanese Presentation type：Oral presentation (general)
Venue：東京国際フォーラム Country：Japan
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Non-trivial real Milnor fibrations
佐伯 修
多様体のトポロジーの展望 2014.11
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Event date： 2014.11
Language：Japanese Presentation type：Oral presentation (general)
Venue：東京大学大学院数理科学研究科 Country：Japan
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Topology of quasi-homogeneous isolated hypersurface singularities Invited
OSAMU SAEKI
可微分写像の特異点論とその応用 2012.12
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Event date： 2012.12
Language：Japanese Presentation type：Oral presentation (general)
Venue：日本大学文理学部 Country：Japan
擬斉次多項式の特異点のトポロジーについてのサーベイ講演を行った。
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Novas aplicações das matemáticas na indústria Invited International conference
OSAMU SAEKI
Palestra 2012.11
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Event date： 2012.11
Language：Others Presentation type：Oral presentation (general)
Venue：ICMC-USP Country：Brazil
数学の産業応用について、特にマス・フォア・インダストリ研究所の活動と、可微分写像の特異点論のデータ可視化への応用について紹介した。
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Desingularizar aplicações genéricas especiais Invited International conference
OSAMU SAEKI
Seminarios de Singularidades 2012.11
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Event date： 2012.11
Language：Others Presentation type：Oral presentation (general)
Venue：ICMC-USP Country：Brazil
スペシャル・ジェネリック写像を余次元１はめ込みに持ち上げることについて、種々の結果を得た。
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Desingularizing special generic maps Invited
OSAMU SAEKI
東京工業大学 大岡山談話会 2012.11
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Event date： 2012.11
Language：Japanese Presentation type：Oral presentation (general)
Venue：東京工業大学 Country：Japan
スペシャル・ジェネリック写像を余次元１はめ込みに持ち上げることについて、種々の結果を得た。
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Broken Lefschetz fibrations and their moves Invited
OSAMU SAEKI
第５９回トポロジーシンポジウム 2012.8
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Event date： 2012.8
Language：Japanese Presentation type：Oral presentation (general)
Venue：佐賀大学 Country：Japan
特異レフシェッツ束の変形理論を紹介し、それを用いて折り目特異点集合への制限が埋め込みになっているものにいつでも変形できることを示した。
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Broken Lefschetz fibrations with embedded fold image
OSAMU SAEKI
特異点論と幾何構造 2012.5
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Event date： 2012.5 - 2012.6
Language：Japanese Presentation type：Oral presentation (general)
Venue：長野市生涯学習センター Country：Japan
特異レフシェッツ束の変形理論を紹介し、それを用いて折り目特異点集合への制限が埋め込みになっているものにいつでも変形できることを示した。
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Cobordism of knots associated with complex hypersurface singularities Invited
Osamu Saeki
トポロジー金曜セミナー 2012.4
More details
Event date： 2012.4
Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
複素超曲面特異点に付随して現れる結び目の同境類について，最近得られた結果について報告した．
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Topology of definite fold singularities Invited International conference
Osamu Saeki
Geometric Topology Seminar 2012.3
More details
Event date： 2012.3
Presentation type：Oral presentation (general)
Venue：Max Planck Institute for Mathematics Country：Germany
定値折り目特異点のトポロジーについて，最近得られた結果について報告した．
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Topology of definite fold singularities Invited International conference
Osamu Saeki
Séminaire GT3 2012.3
More details
Event date： 2012.3
Presentation type：Oral presentation (general)
Venue：University of Strasbourg Country：France
定値折り目特異点のトポロジーについて，最近得られた結果について報告した．
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Topology of definite fold singularities Invited International conference
Osamu Saeki
Topology Seminar 2012.3
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Event date： 2012.3
Presentation type：Oral presentation (general)
Venue：Cambridge University Country：United Kingdom
定値折り目特異点のトポロジーについて，最近得られた結果について報告した．
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Desingularizing special generic maps Invited International conference
Osamu Saeki
The 7th Kagoshima Algebra–Analysis–Geometry Seminar 2012.2
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Event date： 2012.2
Presentation type：Oral presentation (general)
Venue：Kagoshima Universiry Country：Japan
スペシャル・ジェネリック写像の特異点を，余次元１はめ込みや埋め込みによって解消する問題について，最近得られた結果について報告した．
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Topology of definite fold singularities Invited International conference
Osamu Saeki
The 4th Japanese-Australian Workshop on Real and Complex Singularities 2011.11
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Event date： 2011.11
Presentation type：Oral presentation (general)
Venue：Kobe Satellite of Hyogo University of Teacher Education Country：Japan
定値折り目特異点のトポロジーについて，最近得られた結果について報告した．
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Cobordism of knots defined by Brieskorn polynomials Invited International conference
Osamu Saeki
The 19th TAPU Seminar on Knots and Related Topics 2011.9
More details
Event date： 2011.9
Presentation type：Oral presentation (general)
Venue：釜山大学 Country：Korea, Republic of
複素超曲面特異点に付随して現れる結び目の同境類について，最近得られた結果について報告した．
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Survey on knots associated with complex hypersurface singularities Invited International conference
Osamu Saeki
The 19th TAPU Seminar on Knots and Related Topics 2011.9
More details
Event date： 2011.9
Presentation type：Oral presentation (general)
Venue：釜山大学 Country：Korea, Republic of
複素超曲面特異点に付随して現れる結び目について，サーベイ講演を行った．
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定値折り目特異点の消去と特異レフシェッツ束 Invited
Osamu Saeki
近畿大学数学教室談話会 2011.7
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Event date： 2011.7
Presentation type：Oral presentation (general)
Venue：近畿大学 Country：Japan
定値折り目特異点の消去と特異レフシェッツ束について，最近得られた結果について報告した．
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定値折り目特異点の消去と特異レフシェッツ束 Invited
Osamu Saeki
大阪大学数学教室談話会 2011.6
More details
Event date： 2011.6
Presentation type：Oral presentation (general)
Venue：大阪大学 Country：Japan
定値折り目特異点の消去と特異レフシェッツ束について，最近得られた結果について報告した．
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Lifting special generic maps
Osamu Saeki
特異点論とその応用 2011.5
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Event date： 2011.5 - 2011.6
Presentation type：Oral presentation (general)
Venue：大分工業高等専門学校 Country：Japan
スペシャル・ジェネリック写像を余次元1でのはめ込みや埋め込みに持ち上げる問題について，最近得られた結果について報告した．
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多値関数データのための位相に基づく視覚的データ解析 Invited
佐伯修
「拡がっていく数学」 平成22年度 数学・数理科学と諸科学・産業技術分野の連携ワークショップ《CGによる可視化と数学》 2011.3
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Event date： 2011.3
Language：Japanese Presentation type：Oral presentation (general)
Venue：学術総合センター Country：Japan
可微分写像の特異点論を，多値関数データのための視覚的データ解析（データの可視化）に応用することについて，高橋成雄氏と共同研究を行い，可微分写像の特異ファイバーの理論が，そのようなコンピュータサイエンスの理論に応用できることが明らかになった．
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Topology of definite fold singularities Invited
Osamu Saeki
第６回代数・解析・幾何学セミナー 2011.2
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Event date： 2011.2
Presentation type：Oral presentation (general)
Venue：鹿児島大学 Country：Japan
多様体間の可微分写像で，定値折り目特異点しか持たない写像の存在・非存在が，多様体の可微分構造と密接に関連していることを，これまでの結果のサーベイとともに解説した．
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Connected components of regular fibers of differentiable maps International conference
Osamu Saeki
Topology of singularities and related topics, II 2011.1
More details
Event date： 2011.1
Presentation type：Oral presentation (general)
Venue：東北大学 Country：Japan
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Elimination of definite fold and broken Lefschetz fibrations Invited International conference
Osamu Saeki
研究集会「４次元トポロジー」 2010.11
More details
Event date： 2010.11
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
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Cobordism of algebraic knots defined by Brieskorn polynomials
Osamu Saeki
空間認識のための特異点論 2010.6
More details
Event date： 2010.6
Presentation type：Oral presentation (general)
Venue：伊勢市観光文化会館 Country：Japan
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Special generic maps on open 4-manifolds
佐伯修
研究集会「４次元トポロジー」 2010.1
More details
Event date： 2010.1
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
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Special generic maps on open 4-manifolds
Osamu Saeki
可微分写像の特異点論とそれに関連する幾何学 2009.12
More details
Event date： 2009.12
Presentation type：Oral presentation (general)
Venue：日本大学文理学部 Country：Japan
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Singular fibers of differentiable maps and 4-dimensional cobordism group
佐伯修
研究集会「４次元トポロジー」 2009.1
More details
Event date： 2009.1
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
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Fibras singulares e cobordismos em dimensão 4 Invited International conference
Osamu Saeki
Colóquio de Matemática 2008.12
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Event date： 2008.12
Presentation type：Oral presentation (general)
Venue：サンパウロ大学 Country：Brazil
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可微分写像の特異ファイバーと同境群 Invited
佐伯修
近畿大学数学教室講演会 2008.10
More details
Event date： 2008.10
Presentation type：Oral presentation (general)
Venue：近畿大学 Country：Japan
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モース写像の同境と写像芽の位相不変量
佐伯修
トポロジー金曜セミナー 2008.10
More details
Event date： 2008.10
Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
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Cobordism of Morse maps and its application to map germs Invited International conference
Osamu Saeki
Informal Seminar 2008.8
More details
Event date： 2008.8
Presentation type：Oral presentation (general)
Venue：Alfréd Rényi Institute of Mathematics Country：Hungary
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安定写像の特異ファイバーと４次元多様体の符号数
佐伯修
４次元のトポロジー 2003.1
More details
Event date： 2003.1
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
Singular fibers of stable maps and signatures of 4-manifolds, Osamu Saeki, 4-Dimensional Topology, Hiroshima University, 2003.
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Finiteness results for knots and singularities International conference
佐伯修
Singularities in Geometry and Topology 1998.7
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Presentation type：Oral presentation (general)
Venue：札幌市 Country：Japan
Finiteness results for knots and singularities, Osamu Saeki, Singularities in Geometry and Topology, Sapporo, July 1998.
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微分可能写像の特異点の消去問題について Invited
佐伯修
トポロジー・シンポジウム 1998.7
More details
Presentation type：Oral presentation (general)
Venue：山口大学 Country：Japan
Elimination of singularities of differentiable maps, Osamu Saeki, Topology Symposium, Yamaguchi, July 1998.
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Euler characteristic formulas for simplicial maps and their applications International conference
佐伯修
Topology of singularities 1998.2
More details
Presentation type：Oral presentation (general)
Venue：高知市 Country：Japan
Euler characteristic formulas for simplicial maps and their applications, Osamu Saeki, Topology of singularities, Kochi, February 1998.
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Euler characteristic formulas for simplicial maps and their applications International conference
佐伯修
5th Workshop on Real and Complex Singularities 1998.7
More details
Presentation type：Oral presentation (general)
Venue：サン・カルロス Country：Brazil
Euler characteristic formulas for simplicial maps and their applications, Osamu Saeki, 5th Workshop on Real and Complex Singularities, Sao Carlos, July 1998.
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Gluck surgery along a 2-sphere in a 4-manifold is realized by surgery along a projective plane International conference
佐伯修
XI Brazilian Meeting of Topology 1998.8
More details
Presentation type：Oral presentation (general)
Venue：リオ・クラーロ Country：Brazil
Gluck surgery along a 2-sphere in a 4-manifold is realized by surgery along a projective plane, Osamu Saeki, XI Brazilian Meeting of Topology, Rio Claro, August 1998.
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Embedding of quaternion space in S^4
佐伯修
日本数学会秋季総合分科会 1998.10
More details
Presentation type：Oral presentation (general)
Venue：大阪大学 Country：Japan
Embedding of quaternion space in S^4, Osamu Saeki, Mathematical Society of Japan, Osaka, October 1998.
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A primary obstruction to topological embeddings and its applications Invited
佐伯修
第２５回変換群論シンポジウム 1998.10
More details
Presentation type：Oral presentation (general)
Venue：山形市遊学館 Country：Japan
A primary obstruction to topological embeddings and its applications, Osamu Saeki, 25th Symposium on Group Actions, Yamagata, October 1998.
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微分位相幾何学への応用 Invited
佐伯修
Encounter with Mathematics 第１０回 応用特異点論 − 数学（厳密科学）としてのカタストロフ理論をめざして 1999.2
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Presentation type：Oral presentation (general)
Venue：中央大学 Country：Japan
Application to differential topology, Osamu Saeki, 10th Encounter with Mathematics, Chuo University, February 1999.
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On punctured 3-manifolds in S^5
佐伯修
日本数学会年会 1999.3
More details
Presentation type：Oral presentation (general)
Venue：学習院大学 Country：Japan
On punctured 3-manifolds in S^5, Osamu Saeki, Mathematical Society of Japan, Tokyo, March 1999.
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On algebraic unknotting numbers of knots
佐伯修
日本数学会年会 1999.3
More details
Presentation type：Oral presentation (general)
Venue：学習院大学 Country：Japan
On algebraic unknotting numbers of knots, Osamu Saeki, Mathematical Society of Japan, Tokyo, March 1999.
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Generic maps into the plane which lift to standard embeddings in codimension two
佐伯修
いろいろなカテゴリーでの多様体のトポロジーと特異点 1999.9
More details
Presentation type：Oral presentation (general)
Venue：和歌山市民会館 Country：Japan
Generic maps into the plane which lift to standard embeddings in codimension two, Osamu Saeki, Topology of manifolds and singularities in various categories, Wakayama, September 1999.
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Topics from global theory of singularities of differentiable mappings I, II Invited
佐伯修
関西微分解析セミナー 1999.11
More details
Presentation type：Oral presentation (general)
Venue：近畿大学 Country：Japan
Topics from global theory of singularities of differentiable mappings I, II, Osamu Saeki, Seminar on Differential Analysis in Kwansai, Kinki University, November 1999.
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特異曲面のオイラー標数公式とその応用
佐伯修
曲面，線叢，偏微分方程式 2000.1
More details
Presentation type：Oral presentation (general)
Venue：ＫＫＲ鹿児島敬天閣 Country：Japan
Euler characteristic formulas for singular surfaces and its application, Osamu Saeki, Surface, Line Congruence and PDE, Kagoshima, January 2000.
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Topology of singular fibers of stable maps
佐伯修
特異点論と力学系 2000.6
More details
Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
Topology of singular fibers of stable maps, Osamu Saeki, Singularities and Dynamical Systems, Kyoto, June 2000.
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Stable maps and their singular fibers International conference
佐伯修
The 6th Workshop on Real and Complex Singularities 2000.7
More details
Presentation type：Oral presentation (general)
Venue：サン・カルロス Country：Brazil
Stable maps and their singular fibers, Osamu Saeki, The 6th Workshop on Real and Complex, Sao Carlos, July 2000.
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Open books and isotopy of 4-manifolds International conference
佐伯修
XII Encontro Brasileiro de Topologia 2000.8
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Presentation type：Oral presentation (general)
Venue：ニテロイ Country：Brazil
Open books and isotopy of 4-manifolds, Osamu Saeki, XII Encontro Brasileiro de Topologia, Niteroi, August 2000.
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安定写像と４次元トポロジー Invited
佐伯修
日本数学会年会 2001.3
More details
Presentation type：Oral presentation (general)
Venue：慶應義塾大学 Country：Japan
Stable maps and 4-dimensional topology, Osamu Saeki, Mathematical Society of Japan, Tokyo, March 2001.
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４次元多様体上の折り目写像について
佐伯修
４次元トポロジー研究集会 2002.1
More details
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
On fold maps on 4-manifolds, Osamu Saeki, Meeting on 4-dimensional topology, Hiroshima, January 2002.
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Fold maps on 4-manifolds Invited International conference
佐伯修
International Conference on Topology in Matsue 2002 joined with The Second Japan-Mexico Topology Symposium 2002.6
More details
Presentation type：Oral presentation (general)
Venue：島根大学 Country：Japan
Fold maps on 4-manifolds, Osamu Saeki, International Conference on Topology in Matsue 2002 joined with The Second Japan-Mexico Topology Symposium, Shimane University, June 2002.
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Open book structures on highly connected manifolds
佐伯修
日本数学会秋季総合分科会 2002.9
More details
Presentation type：Oral presentation (general)
Venue：島根大学 Country：Japan
Open book structures on highly connected manifolds, Osamu Saeki, Mathematical Society of Japan, Shimane University, September 2002.
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Fold maps on 4-manifolds
佐伯修
実・複素特異点のトポロジーII 2002.12
More details
Presentation type：Oral presentation (general)
Venue：鹿児島大学 Country：Japan
Fold maps on 4-manifolds, Osamu Saeki, Topology of Real and Complex Singularities II, Kagoshima, December 2002.
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Submersions avec plis sur les varietes de dimension quatre International conference
佐伯修
Seminaire GT3, IRMA 2003.5
More details
Presentation type：Oral presentation (general)
Venue：Universite Louis Pasteur, Strasbourg Country：France
Fold maps on 4-dimensional manifolds
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Pull back relation for non-spherical knots
佐伯修
トポロジー金曜セミナー 2003.10
More details
Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
Pull back relation for non-spherical knots
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曲面結び目のコボルディズム
佐伯修
４次元トポロジー研究集会 2004.1
More details
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
Cobordism of surface knots
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Cobordism of surfaces embedded in S^4 Invited
佐伯修
トポロジー火曜セミナー 2004.1
More details
Presentation type：Oral presentation (general)
Venue：東京大学 Country：Japan
Cobordism of surfaces embedded in S^4
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Generic smooth maps with sphere fibers
佐伯修
トポロジー金曜セミナー 2004.4
More details
Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
Generic smooth maps with sphere fibers
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Universal complex of singular fibers and cobordism of singular maps
佐伯修
はこだて特異点研究集会 2004.10
More details
Presentation type：Oral presentation (general)
Venue：サン・リフレ函館 Country：Japan
Universal complex of singular fibers and cobordism of singular maps
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Universal complex of singular fibers and cobordism of singular maps
佐伯修
日本数学会年会 2005.3
More details
Presentation type：Oral presentation (general)
Venue：日本大学理工学部 Country：Japan
Universal complex of singular fibers and cobordism of singular maps
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Concordance of 4-dimensional knots
佐伯修
日本数学会年会 2005.3
More details
Presentation type：Oral presentation (general)
Venue：日本大学理工学部 Country：Japan
Concordance of 4-dimensional knots
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Theory of singular fibers of differentiable maps and characteristic classes of surface bundles I
佐伯修
リーマン面に関連する位相幾何学 2005.9
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Language：Japanese Presentation type：Oral presentation (general)
Venue：東京大学 Country：Japan
Theory of singular fibers of differentiable maps and characteristic classes of surface bundles I
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Generic smooth maps with sphere fibers
佐伯修
特異点と幾何学のワークショップ 2005.10
More details
Presentation type：Oral presentation (general)
Venue：東京理科大学森戸記念館 Country：Japan
Generic smooth maps with sphere fibers
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Elimination of definite fold
佐伯修
Generic Differential Geometry --Singularities and Differential Geometry-- 2005.11
More details
Presentation type：Oral presentation (general)
Venue：北海道大学 Country：Japan
Elimination of definite fold
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Singular fibers of differentiable maps and characteristic classes of surface bundles
佐伯修
広島トポロジー研究集会（３・４次元数学を目指して） 2006.2
More details
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
Singular fibers of differentiable maps and characteristic classes of surface bundles
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Generic smooth maps with sphere fibers Invited
佐伯修
近畿大学数学教室講演会 2006.3
More details
Presentation type：Oral presentation (general)
Venue：近畿大学 Country：Japan
Generic smooth maps with sphere fibers
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可微分写像の特異ファイバーとその応用 Invited
佐伯修
筑波大学数学系月例談話会 2006.6
More details
Presentation type：Oral presentation (general)
Venue：筑波大学 Country：Japan
Singular fibers of differentiable maps and their applications
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折り目写像が存在するための障害について Invited
佐伯修
広島大学トポロジー・幾何セミナー 2006.10
More details
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
On obstructions to the existence of fold maps
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Morse functions with sphere fibers
佐伯修
特異点論とオーミニマルカテゴリー 2006.11
More details
Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
Morse functions with sphere fibers
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Elimination of definite fold
佐伯修
トポロジー金曜セミナー 2006.11
More details
Presentation type：Oral presentation (general)
Venue：九州大学 Country：Japan
Elimination of definite fold
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可微分写像の特異ファイバーとその応用 Invited
佐伯修
大岡山談話会 2006.12
More details
Presentation type：Oral presentation (general)
Venue：東京工業大学 Country：Japan
Singular fibres of differentiable maps and their applications
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Total width が 8 以下の2次元結び目について
佐伯修
４次元トポロジー研究集会 2007.1
More details
Presentation type：Oral presentation (general)
Venue：広島大学 Country：Japan
On 2-knots with total width less than or equal to 8
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Morse functions with sphere fibers Invited
佐伯修
埼玉大学談話会 2007.1
More details
Presentation type：Oral presentation (general)
Venue：埼玉大学 Country：Japan
Morse functions with sphere fibers
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Seeking for invariants of manifolds
佐伯修
大域的特異点論の問題－安藤良文先生還暦記念研究集会－ 2007.10
More details
Presentation type：Oral presentation (general)
Venue：近畿大学 Country：Japan
Seeking for invariants of manifolds
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Cobordism of Morse maps and its application to map germs International conference
Osamu Saeki
The second Japanese-Australian Workshop on Real and Complex Singularities 2007.11
More details
Language：English Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
Cobordism of Morse maps and its application to map germs
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Desingularizing special generic maps Invited International conference
佐伯 修
Topology Seminar 2013.6
More details
Language：English Presentation type：Oral presentation (general)
Venue：Fudan University, Shanghai Country：China
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Broken Lefschetz fibrations and their moves Invited International conference
佐伯 修
Special Session “Singularities in Geometry and Topology”, The Second Pacific Rim Mathematical Association Congress (PRIMA2013) 2013.6
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Language：English
Venue：Shanghai Country：China
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モース関数とそのレーブグラフ入門 Invited
佐伯 修
Kobe Studio Seminar for Mathematics 2013.7
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Language：Japanese Presentation type：Oral presentation (general)
Venue：神戸大学発達科学部 Country：Japan
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マス・フォア・インダストリ活動について Invited
佐伯 修
Kobe Studio Seminar for Mathematics 2013.7
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Language：Japanese Presentation type：Oral presentation (general)
Venue：神戸大学発達科学部 Country：Japan
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Topology of quasi-homogeneous isolated hypersurface singularities Invited International conference
佐伯 修
Seminarios de Singularidades 2013.8
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Language：Others Presentation type：Oral presentation (general)
Venue：ICMC-USP Country：Brazil
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On study group activities Invited International conference
佐伯 修
Seminarios do LMACC 2013.8
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Language：Others Presentation type：Oral presentation (general)
Venue：ICMC-USP Country：Brazil
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Desingularizing special generic maps Invited International conference
佐伯 修
The 1st Franco-Japanese-Vietnamese Symposium on Singularities (and The 7th Franco-Japanese Symposium on Singularities) 2013.9
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Language：English Presentation type：Oral presentation (general)
Venue：Laboratoire J. A. Dieudonné, Université de Nice Sophia Antipolis Country：France
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Visualizing multivariate data using singularity theory Invited International conference
佐伯 修
Forum “Math-for-Industry” 2013 -The Impact of Applications on Mathematics- 2013.11
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Language：English Presentation type：Oral presentation (general)
Venue：西新プラザ、九州大学 Country：Japan
This is a talk on recent developments in visualization of large data, especially that of multivariate volume data. We present two essential ingredients. The first one is the mathematical background, especially the singularity theory of differentiable mappings, which enables us to capture topological features of given multivariate data in a mathematically rigorous way. The second one is a new development in computer science, called the joint contour net, which can encode topological structures of a given set of multivariate data in an efficient and robust way. Some applications to real data analysis are also presented.
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Topology of manifolds and global theory of singularities Invited International conference
佐伯 修
可微分写像の特異点論とその周辺 2013.11
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Language：English Presentation type：Oral presentation (general)
Venue：京都大学数理解析研究所 Country：Japan
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現代のトップテクノロジー，トポロジーを使ったデータ構造の解析 ～トポロジー技術を用いた分子構造解析とデータ可視化～ Invited
佐伯 修
数学メガネからみたイノベーション 2013.12
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Language：Japanese Presentation type：Oral presentation (general)
Venue：稲盛財団記念館（九州大学伊都キャンパス） Country：Japan
現代数学のトップテクノロジーであるトポロジーの歴史、アイデアについて簡単に紹介したあと、その現実的な問題への応用、特に分子構造解析と、データ構造解析への応用について、数学を必ずしも専門とはしない聴衆を相手にわかりやすく講演する。
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Topology of manifolds and global theory of singularities Invited International conference
佐伯 修
One day workshop on hypersurface singularity and its link manifolds 2014.1
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Language：English Presentation type：Oral presentation (general)
Venue：東京理科大学 Country：Japan
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Singular fibers of differentiable maps and low dimensional topology I Invited International conference
佐伯 修
Visiting Lecture at Center for Advanced Studies 2014.3
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Language：English Presentation type：Oral presentation (general)
Venue：Warsaw University of Technology Country：Poland
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Desingularizing special generic maps Invited International conference
佐伯 修
Visiting Lecture at Institute of Mathematics 2014.3
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Language：English Presentation type：Oral presentation (general)
Venue：Polish Academy of Science Country：Poland
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Singular fibers of differentiable maps and low dimensional topology II Invited International conference
佐伯 修
Visiting Lecture at Center for Advanced Studies 2014.3
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Language：English Presentation type：Oral presentation (general)
Venue：Warsaw University of Technology Country：Poland
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Visualizing multivariate data using singularity theory Invited International conference
佐伯 修
Visiting Lecture at Center for Advanced Studies 2014.4
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Language：English Presentation type：Oral presentation (general)
Venue：Warsaw University of Technology Country：Poland
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Singular fibers and visualization of multivariate data Invited International conference
佐伯 修
13th International Workshop on Real and Complex Singularities 2014.8
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Language：English Presentation type：Oral presentation (general)
Venue：ICMC, University of Sao Paulo Country：Brazil
In this talk, we first classify singular fibers of stable maps of compact 3-manifolds with boundary into surfaces. Then, we give two applications. One is a construction of a certain cobordism invariant for functions on surfaces with boundary. As the second application, we use the singular fibers to visualize three dimensional multivariate data, by combining a recent technique in computer science, callded the joint contour net.
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Connected components of regular fibers of differentiable maps Invited International conference
佐伯 修
19th Brazilian Topology Meeting 2014.8
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Language：English Presentation type：Oral presentation (general)
Venue：Sao Jose do Rio Preto Country：Brazil
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New examples of non-trivial real Milnor fibrations Invited International conference
佐伯 修
Workshop on Singularities, Geometry, Topology and Related Topics 2014.9
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Language：English Presentation type：Oral presentation (general)
Venue：North-East Normal University, Changchung Country：China
We first classify Neuwirth-Stallings pairs of dimension two in the 5-sphere, using the topology of certain configuration spaces. As an appliction, we construct polynomial map germs $(R^6, 0) \to (R^3, 0)$ with an isolated singularity at the origin such that their associated Milnor fibrations are non-trivial, thus putting an end to Milnor's non-triviality question. Furthermore, for certain real polynomial map germs, we study the conditions under which the associated Milnor fiber has the homotopy type of a bouquet of spheres. We then construct, for every pair $(n, p)$ with $n/2 > p > 2$, a new example of a polynomial map germ $(R^n, 0) \to (R^p, 0)$ with an isolated singularity at the origin such that its Milnor fiber has the homotopy type of a bouquet of a positive number of spheres.
MISC
MISC
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Simplifying generic smooth maps to the 2-sphere and to the plane
Osamu Saeki
arXiv 2024.7
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Authorship：Lead author, Last author, Corresponding author Language：English Publishing type：Internal/External technical report, pre-print, etc.
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Saeki Osamu, Yamamoto Takahiro
RIMS Kokyuroku 1948 137 - 152 2015.4 （ ISSN:1880-2818 ）
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Professional Memberships
Professional Memberships
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Society for Industrial and Applied Mathematics
2023.1 - 2023.12
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The Japan Society for Industrial and Applied Mathematics
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Australian Mathematical Society
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Asia Pacific Consortium of Mathematics for Industry
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The Mathematical Society of Japan
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Committee Memberships
Committee Memberships
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文部科学省 基礎研究振興部会 部会長 Domestic
2025.2 - 2027.2
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Committee type：Government
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文部科学省 科学技術・学術審議会 委員 Domestic
2023.2 - 2027.2
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Committee type：Government
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文部科学省 基礎研究振興部会 委員 Domestic
2023.2 - 2025.2
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Committee type：Government
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日本数学会 Councilor Domestic
2018.3 - 2020.3
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日本数学会 学術委員会運営委員 Domestic
2012.7 - 2018.6
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日本数学会 Councilor Domestic
2007.4 - 2008.3
Academic Activities
Academic Activities
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Algebraic Geometry, Topology, Combinatorics and Related Topics 2025 International contribution
Role(s)： Planning/Implementing academic research
（ Tokushima University ） 2025.3
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Type：Academic society, research group, etc.
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研究集会 「多様体のトポロジーの進展」
Role(s)： Planning, management, etc.
（ 東京大学大学院数理科学研究科 ） 2024.11
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Type：Academic society, research group, etc.
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Japanese Australian Workshop on Real and Complex Singularities 2024 International contribution
Role(s)： Planning, management, etc.
（ 埼玉大学 ） 2024.11
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Type：Academic society, research group, etc.
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機械学習と数理モデルの融合と理論の深化Ⅱ
Role(s)： Planning, management, etc.
（ 九重共同研究所・山の家 ） 2024.10
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Type：Academic society, research group, etc.
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社会科学における幾何と代数
Role(s)： Planning, management, etc.
（ 九州大学マス・フォア・インダストリ研究所 ） 2024.9
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Type：Academic society, research group, etc.
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Polish-Jpanese Singularity Theory Working Days International contribution
Role(s)： Planning, management, etc.
（ Faculty of Mathematics and Information Science of Warsaw University of Technology Poland ） 2024.9
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Type：Academic society, research group, etc.
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18th International Workshop on Real and Complex Singularities International contribution
Role(s)： Panel moderator, session chair, etc., Planning/Implementing academic research
University of Valencia 2024.7
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Type：Competition, symposium, etc.
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Ajou-Kyushu Summer School on Applied Mathematics International contribution
Role(s)： Planning, management, etc.
Kyushu University, Ajou University 2024.7
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Type：Academic society, research group, etc.
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WORKSHOP on Mathematics for Industry 2023--Basis of Mathematics in nanomedicine structures and life sensing International contribution
Role(s)： Planning, management, etc.
（ Faculty of Mathematics and Information Science of Warsaw University of Technology Poland ） 2023.9
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高専との連携によるモノづくりと数学の融合
（ 九州大学マス・フォア・インダストリ研究所 Japan ） 2023.9
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材料科学における幾何と代数IV
Role(s)： Planning, management, etc.
（ 九州大学マス・フォア・インダストリ研究所 ） 2023.9
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Type：Academic society, research group, etc.
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Forum "Math-for-Industry'' 2023--MfI2.0-- International contribution
（ Kyushu University Nishijin Plaza Japan ） 2023.8 - 2023.9
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ICIAM2023, TOKYO International contribution
（ Waseda University Japan ） 2023.8
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Forum “Math-for-Industry” 2022，-Mathematics of Public Health and Sustainability- International contribution
（ La Trobe University City Campus Australia ） 2022.11
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MSJ-SI 2022, "Deepening and Evolution of Applied Singularity Theory" International contribution
（ WORKPIA YOKOHAMA Japan ） 2022.11
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材料科学における幾何と代数III
（ Japan ） 2022.9
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Type：Academic society, research group, etc.
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Study Group Workshop 2022
（ 九州大学マス・フォア・インダストリ研究所 Japan ） 2022.7 - 2022.8
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九州大学大学院マス・フォア・イノベーション連係学府 設置記念式典・シンポジウム
（ 九州大学マス・フォア・インダストリ研究所 Japan ） 2022.6
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京都大学数理解析研究所運営委員
2022.5 - 2023.8
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AIMaP 公開シンポジウム「数学イノベーションは社会を変革できるか? ～AIMaP 成果と今後の戦略 的展開～」
（ Kyushu University, Online Japan ） 2022.3
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Branched Coverings, Degenerations, and Related Topics 2022
（ Kyushu University, Online Japan ） 2022.3
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WIRELESS POWER TRANSFER: TECHNOLOGIES FOR SMART SOCIETIES, I2CNER–IMI Joint International Workshop International contribution
（ Kyushu University, Online Japan ） 2022.1
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Forum “Math-for-Industry” 2021，Mathematics for Digital Economy International contribution
（ Vietnam Institute for Advanced Study, Online Vietnam ） 2021.12
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Fiber Topology Meets Applications 2
（ Japan ） 2021.12
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Type：Academic society, research group, etc.
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Proceedings of the Forum "Math-for-Industry" 2021, Editor International contribution
2021.12 - 2022.3
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Type：Academic society, research group, etc.
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アジア・太平洋における数理融合イノベーションの場の形成
（ 九州大学（オンライン） Japan ） 2021.11
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数学・数理科学5 研究拠点合同市民講演会「故きを温ねて新しきを知る」
（ 九州大学（オンライン） Japan ） 2021.11
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社会課題は数理科学で解決できる！？ –試みと課題–
（ 九州大学（オンライン） Japan ） 2021.10
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第66 回国立大学附置研究所・センター会議第１部会シンポジウム「数学のチカラ」
（ 九州大学（オンライン） Japan ） 2021.9
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進化計算の数理
（ 九州大学（オンライン） Japan ） 2021.9
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京都大学数理解析研究所 専門委員
2021.9 - 2023.8
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材料科学における幾何と代数II
Role(s)： Planning, management, etc.
（ Japan ） 2021.8
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Type：Academic society, research group, etc.
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Study Group Workshop 2021
（ 九州大学（オンライン） Japan ） 2021.7 - 2021.8
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九州大学マス・フォア・インダストリ研究所 設立10周年記念式典 International contribution
（ 九州大学（オンライン） Japan ） 2021.5
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The 2nd Ajou-Kyushu joint workshop on industrial Mathematics: "Biomedical Mathematics” (The 2nd Edition of Asia Pacific Online Seminars on Mathematics for Industry) International contribution
（ 九州大学（オンライン） Japan ） 2021.5
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九州大学マス・フォア・イノベーション卓越大学院キックオフシンポジウム International contribution
（ 九州大学（オンライン） Japan ） 2021.3
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RIMS-IMI合同談話会
（ 京都大学数理解析研究所（オンライン） Japan ） 2021.3
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Mathematics Without Borders – Applied and Applicable, Kyushu–Illinois Strategic Partnership Col-loquia Series #2 International contribution
（ 九州大学（オンライン） Japan ） 2021.3
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Artificial Intelligence for Operation and Management of Energy Grids, I2CNER–IMI INTERNA-TIONAL WORKSHOP International contribution
（ 九州大学（オンライン） Japan ） 2021.1
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Fiber Topology Meets Applications International contribution
Role(s)： Planning, management, etc.
（ Japan ） 2021.1
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Type：Academic society, research group, etc.
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16th International Workshop on Real and Complex Singularities – celebrating 30 years International contribution
（ サンパウロ大学サンカルロス校（オンライン） Brazil ） 2020.11
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Study Group Workshop 2020
（ 九州大学 Japan ） 2020.11
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数学・数理科学5研究拠点合同市民講演会「みえるものとみえないもの」
（ 九州大学（オンライン） Japan ） 2020.11
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材料科学における幾何と代数Ｉ
Role(s)： Planning, management, etc.
（ Japan ） 2020.9
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Type：Academic society, research group, etc.
Number of participants：50
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CREST・さきがけ・AIMaP合同シンポジウム「数学パワーが世界を変える2020」
（ 秋葉原コンベンションホール Japan ） 2020.2
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Forum "Math-for-Industry" 2019 International contribution
（ Massey University, Auckland, New Zealand NewZealand ） 2019.11
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Proceedings of the Forum "Math-for-Industry" 2019 International contribution
2019.11 - 2022.3
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Type：Academic society, research group, etc.
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結晶の界面，転位，構造の先進数理解析
Role(s)： Planning, management, etc.
（ Japan ） 2019.9
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Type：Academic society, research group, etc.
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実践と数理に根ざした多目的最適化ベンチマークの開発
（ 九州大学伊都キャンパス Japan ） 2019.9
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第６６回 トポロジーシンポジウム
（ 秋田市 Japan ） 2019.8
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研究集会「特異点論とトポロジー」
（ 九州大学伊都キャンパス Japan ） 2019.7 - 2019.8
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Study Group Workshop 2019
Role(s)： Supervision (editorial)
（ Japan ） 2019.7
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Type：Competition, symposium, etc.
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マス・フォア・イノベーション シンポジウム
（ 九州大学伊都キャンパス Japan ） 2019.6
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CREST 研究領域「数学・数理科学と情報科学の連携・融合による情報活用基盤の創出と社会課題解決に向けた展開」領域アドバイザー International contribution
Role(s)： Review, evaluation
国立研究開発法人科学技術振興機構 2019.6 - Present
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Type：Scientific advice/Review
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Branched Coverings, Degenerations, and Related Topics
（ 広島大学 Japan ） 2019.3
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The 14th Kagoshima Algebra-Analysis-Geometry Seminar
（ 鹿児島大学 Japan ） 2019.2
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Forum "Math-for-Industry" 2018 International contribution
（ Fudan University, Shanghai China ） 2018.11
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Proceedings of the Forum "Math-for-Industry" 2018 International contribution
2018.11 - 2021.11
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Type：Academic society, research group, etc.
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Joint Mini-workshop between KU and NTNU International contribution
（ 九州大学マス・フォア・インダストリ研究所 Japan ） 2018.10
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The 6th Franco-Japanese-Vietnamese Symposium on Singularites International contribution
（ Khanh Hoa University, Nha Trang Vietnam ） 2018.9
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結晶転位の先進数理解析
Role(s)： Planning, management, etc.
（ Japan ） 2018.9
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Type：Academic society, research group, etc.
Number of participants：25
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第65回 トポロジーシンポジウム
（ 信州大学 Japan ） 2018.8
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多目的最適化と特異点論：パレート点の特異型の分類
（ 九州大学マス・フォア・インダストリ研究所 Japan ） 2018.8
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共立出版「ひろがるトポロジー」シリーズ
2018.3 - 2023.3
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Type：Academic society, research group, etc.
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The 5th Franco-Japanese-Vietnamese Symposium on Singularities International contribution
（ 鹿児島大学 Japan ） 2017.10 - 2017.11
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Forum "Math-for-Industry" 2017 International contribution
（ University of Hawaii at Manoa, Hawaii UnitedStatesofAmerica ） 2017.10
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近代科学社「IMI シリーズ：進化する産業数学」
2017.10 - 2022.9
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Type：Academic society, research group, etc.
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Geometric and Algebraic Singularity Theory International contribution
（ Będlewo Poland ） 2017.9
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ベクトル値滑層分割Morse理論の構築による多数目的最適化問題の解集合の可視化
（ 九州大学伊都キャンパス Japan ） 2017.9
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結晶の界面，転位，構造の数理
Role(s)： Planning, management, etc.
（ Japan ） 2017.8
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Type：Academic society, research group, etc.
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Journal of the Mathematical Society of Japan International contribution
2017.7 - 2023.6
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Type：Academic society, research group, etc.
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数学アドバンストイノベーションプラットフォーム 企画運営責任者
Role(s)： Planning, management, etc.
文部科学省 2017.6 - 2022.3
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日本数学会 2016年度秋季総合分科会
Role(s)： Panel moderator, session chair, etc.
（ 関西大学 Japan ） 2016.9
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産業に応える数学 -幾何・統計・計算数学からものづくりへ-
（ 九州大学 伊都キャンパス Japan ） 2016.9
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結晶のらせん転位の数理
Role(s)： Planning, management, etc.
（ Japan ） 2016.9
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Type：Academic society, research group, etc.
Number of participants：20
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スタディグループ・ワークショップ2016 International contribution
（ 九州大学、東京大学 Japan ） 2016.7 - 2016.8
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The 3rd Franco - Japanese - Vietnamese Symposium on Singularities International contribution
（ Hanoi Vietnam ） 2015.11 - 2015.12
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Forum "Math-for-Industry" 2015 -The Role and Importance of Mathematics in Innovation- International contribution
（ 九州大学 Japan ） 2015.10
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Geometric Singularity Theory International contribution
（ Warsaw Poland ） 2015.9
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スタディグループ・ワークショップ2015 International contribution
（ 九州大学、東京大学 Japan ） 2015.7 - 2015.8
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Singularities in Generic Geometry and its Applications -- Kobe-Kyoto 2015 (Valencia IV) -- International contribution
（ 神戸大学、京都大学 Japan ） 2015.6
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日本数学会年会 座長（Chairmanship）
Role(s)： Panel moderator, session chair, etc.
（ Japan ） 2015.3
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Type：Competition, symposium, etc.
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The 2nd Franco-Japanese-Vietnamese Symposium on Singularities Sapporo International contribution
（ 北海道大学 Japan ） 2014.8
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13th International Workshop on Real and Complex Singularities International contribution
（ University of Sao Paulo, Sao Carlos, Brazil Brazil ） 2014.7
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The 7-th Franco-Japanese Symposium on Singualrities (The 1st Franco-Japanese-Vietnamese Symposium on Singularities) International contribution
（ Nice France ） 2013.9
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スタディグループ・ワークショップ2013 International contribution
（ 九州大学、東京大学 Japan ） 2013.7 - 2013.8
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Forum “Math-for-industry” 2012 “Information Recovery and Discovery” International contribution
（ 福岡国際会議場 Japan ） 2012.10
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MSJ-KMS Joint Meeting 2012 International contribution
（ 九州大学医学部百年講堂 Japan ） 2012.9
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第５９回トポロジーシンポジウム
（ 佐賀大学 Japan ） 2012.8
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スタディ・グループ ワークショップ 2012 International contribution
（ 九州大学伊都キャンパス、東京大学駒場キャンパス Japan ） 2012.7
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12th International Workshop on Real and Complex Singularities International contribution
（ ICMC-USP, São Carlos Brazil ） 2012.7
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第６回 福岡・札幌 幾何学セミナー
（ 九州大学西新プラザ Japan ） 2012.2
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Workshop of computer graphics and mathematics
（ 神戸大学発達科学部 Japan ） 2012.1
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Forum "Math-for-Industry" 2011, "TSUNAMI - Mathematical Modelling" — Using Mathematics for Natural Disaster Prediction, Recovery and Provision for the Future — International contribution
（ East-West Center, University of Hawaii UnitedStatesofAmerica ） 2011.10
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The 6th Franco-Japanese Symposium on Singularities International contribution
（ 九州大学西新プラザ Japan ） 2011.9
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スタディグループ・ワークショップ2011
（ 九州大学、東京大学 Japan ） 2011.8
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Forum “Math-for-Industry” 2010, Information security, visualization, and inverse problems, on the basis of optimization techniques International contribution
（ ヒルトン福岡 シーホーク， Fukuoka SRP Center Japan ） 2010.10
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Journal of Math-for-Industry, Pacific Journal of Mathematics for Industry, International Journal of Mathematics for Industry International contribution
2009.4 - Present
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Type：Academic society, research group, etc.
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幾何学的視点からの特異点論 International contribution
（ 九州大学 Japan ） 2008.6
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第２回 福岡・札幌 幾何学セミナー
（ 九州大学 Japan ） 2008.2
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第１１８回 日本数学会 九州支部 例会
（ 琉球大学 Japan ） 2008.2
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第１１７回 日本数学会 九州支部 例会
（ 宮崎大学 Japan ） 2007.10
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大域的特異点論の問題
（ 近畿大学 Japan ） 2007.10
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日本数学会 2007 年度秋季総合分科会
Role(s)： Panel moderator, session chair, etc.
（ 東北大学 Japan ） 2007.9
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2007年度科学技術振興機構戦略的創造研究推進事業（さきがけ）外部評価者
Role(s)： Review, evaluation
科学技術振興機構 2007.6 - 2007.8
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Type：Scientific advice/Review
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京都大学数理解析研究所 専門委員会委員
2007.4 - 2009.3
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日本数学会年会 座長（Chairmanship）
Role(s)： Panel moderator, session chair, etc.
（ Japan ） 2007.3
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Type：Competition, symposium, etc.
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9th International Workshop on Real and Complex Singularities International contribution
（ Sao Carlos Brazil ） 2006.7
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特異点論―局所対大域
（ 山口大学 Japan ） 2006.6
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トポロジーの展望 International contribution
（ 九州大学西新プラザ Japan ） 2006.3
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日本数学会年会 座長（Chairmanship）
Role(s)： Panel moderator, session chair, etc.
（ Japan ） 2005.3
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Type：Competition, symposium, etc.
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多様体のトポロジーの未来へ
（ 東京大学 Japan ） 2004.11
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特異点論における新しい方法と対象
（ 京都大学数理解析研究所 Japan ） 2003.11
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トポロジー連絡会議 構成員
2002.9 - Present
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The 7th Workshop On Real And Complex Singularities International contribution
（ Sao Carlos Brazil ） 2002.7 - 2002.8
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Screening of academic papers International contribution
Role(s)： Peer review
1988 - Present
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Type：Peer review
Number of peer-reviewed articles in foreign language journals：1
Number of peer-reviewed articles in Japanese journals：0
Proceedings of International Conference Number of peer-reviewed papers：1
Proceedings of domestic conference Number of peer-reviewed papers：0
Research Projects
Research Projects
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特異点論と幾何的トポロジーが織りなす数学イノベーション
Grant number：23H05437 2023 - 2027
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S)
More details
Authorship：Principal investigator Grant type：Scientific research funding
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データのねじれをモノドロミーで可視化する
Grant number：22K18267 2022 - 2027
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Challenging Research(Pioneering)
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Authorship：Principal investigator Grant type：Scientific research funding
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3次元双曲多様体上の量子トポロジー
Grant number：21H04428 2021 - 2025
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
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Authorship：Coinvestigator(s) Grant type：Scientific research funding
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「数学アドバンストイノベーションプラットフォーム(AIMaP)」
2019 - 2021
文部科学省科学技術試験研究委託事業
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Authorship：Principal investigator Grant type：Contract research
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Grant number：17H06128 2017 - 2021
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S)
佐伯 修, 大本 亨, 鎌田 聖一, 石川 昌治, 遠藤 久顕, 岩瀬 則夫, 小林 真人
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Authorship：Principal investigator Grant type：Scientific research funding
可微分写像の大域的で具体的な簡略化手法を、幾何的トポロジーを用いて確立し、4次元多様体が常に良い構造を持つことを発見した。また、境界付き多様体上の写像の同境を初めて定式化するなど、新研究領域を創出した意義は大きい。さらに、非特異ファイバーと特異点集合が絡まないことがあることを突き止め、それを沈めこみ理論に応用した結果は、特異点論の汎用性を顕著に表している。また情報幾何学で重要な双対平坦構造について、特異モデルにも適用可能となるように理論を刷新するなど、諸科学分野への応用を目的とする次世代カタストロフィー理論の構築を進めた。
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写像の特異点論の革新とトポロジーの新展開
Grant number：17H01090 2017
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
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Authorship：Principal investigator Grant type：Scientific research funding
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L類，コボルディズム理論と双変理論およびその周辺に関する位相幾何学的総合研究
Grant number：16H03936 2016 - 2018
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
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Authorship：Coinvestigator(s) Grant type：Scientific research funding
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ゲージ理論に関連する結び目と３次元多様体の不変量と量子トポロジー
Grant number：16K13754 2016 - 2018
Grants-in-Aid for Scientific Research Grant-in-Aid for challenging Exploratory Research
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Authorship：Coinvestigator(s) Grant type：Scientific research funding
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ビッグデータ可視化手法による安定写像構成イノベーションへの挑戦
Grant number：15K13438 2015 - 2017
Grants-in-Aid for Scientific Research Grant-in-Aid for challenging Exploratory Research
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Authorship：Principal investigator Grant type：Scientific research funding
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九州大学持続的共進化地域創成拠点(九州大学COI拠点)
2013.12 - 2022.3
九州大学
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Authorship：Coinvestigator(s)
「持続的共進化地域創成拠点」は、クリーンエネルギーを最大限に活用することで地球環境への負荷を極限まで低減(SDGs7&13)しながら、同時に地域(都市と都市を取り巻く郊外)経済活性化と雇用創出、移動制約者への移動手段の提供により、あんしん・あんぜんで活力ある持続的地域創成(SDG11)を行うことを目指しています。 また、それらを通して、地域住民の健康面への配慮(SDG3)や社会的弱者に対する安価でアクセスしやすい地域サービスの提供(SDG10)も可能になると考えています。
このような地域創成を実現するために、当拠点では地域と技術/制度の共進化という考え方を最大限に活用します。 地域課題が技術/制度の進化を促し、進化した技術/制度により地域課題が解決されることで地域が進化する、また、ある技術/制度の進化により他技術/制度の進化が後押しされ、それらによりさらに地域課題の解決が進む、そのような考え方です。 当拠点では、九州大学/東京大学/横浜国立大学を中心に、参画企業/地方自治体を含めた形で共進化委員会を形成し、PL/RLのマネジメントの下でエネルギー/モビリティ/情報科学/産業数学といった異分野技術の共進化を積極的に仕掛けていくことで、 地域課題を解決する社会実装を次々に生み出し続けるイノベーションプラットフォームを構築します(SDG9) 。 -
特異ファイバーの分類に基づく多値関数データの特徴解析と可視化
Grant number：25540041 2013 - 2014
Grants-in-Aid for Scientific Research Grant-in-Aid for challenging Exploratory Research
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Authorship：Coinvestigator(s) Grant type：Scientific research funding
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幾何学とトポロジーにおける特異点―未来の発展へ向けて
2013
Japan Society for the Promotion of Science Bilateral program
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Authorship：Principal investigator Grant type：Joint research
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写像の特異点論の新展開
Grant number：23244008 2011 - 2015
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
More details
Authorship：Principal investigator Grant type：Scientific research funding
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可微分写像の構造安定性と形態形成
Grant number：23654028 2011 - 2013
Grants-in-Aid for Scientific Research Grant-in-Aid for challenging Exploratory Research
More details
Authorship：Principal investigator Grant type：Scientific research funding
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幾何学とトポロジーにおける特異点
2011
Japan Society for the Promotion of Science Bilateral program
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Authorship：Principal investigator Grant type：Joint research
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井上科学振興財団 国際研究集会の開催経費援助
2011
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Grant type：Donation
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多値関数データの可視化
2010.10
会津大学 コンピュータ理工学部 コンピュータ理工学科情報システム学部門 コンピュータグラフィックス講座（日本）
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Authorship：Coinvestigator(s)
Visual data analysis for multivariate functions
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マス・フォア・インダストリ教育研究拠点
2008 - 2012
Global COE Program (Ministry of Education, Culture, Sports, Science and Technology)
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Authorship：Coinvestigator(s) Grant type：Contract research
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非球面的結び目の同境とその応用
2008
Japan Society for the Promotion of Science Bilateral program
More details
Authorship：Principal investigator Grant type：Joint research
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可微分写像の大域的特異点論とその応用
Grant number：19340018 2007 - 2010
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
More details
Authorship：Principal investigator Grant type：Scientific research funding
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多様体対への可微分写像に対する有限型不変量の定式化とその応用
Grant number：18654014 2006 - 2008
Grants-in-Aid for Scientific Research Grant-in-Aid for Exploratory Research
More details
Authorship：Principal investigator Grant type：Scientific research funding
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与えられた特異点型のみを持つ可微分写像の同境群
Grant number：17・05295 2005 - 2007
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows
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Authorship：Principal investigator Grant type：Scientific research funding
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ホモトピー論的観点から見た大域的特異点論
Grant number：16340018 2004 - 2006
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
More details
Authorship：Principal investigator Grant type：Scientific research funding
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微分位相幾何学と特異点
Grant number：13640076 2001 - 2002
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
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Authorship：Principal investigator Grant type：Scientific research funding
Educational Activities
Educational Activities
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The numbers of recent master course students that I supervised were 3 (2024), 1 (2023), 4 (2022), 2 (2021), 1 (2019), 1 (2018), 2 (2015), 1 (2014), 4 (2013), 2 (2012), 1 (2011), 2 (2010), 1 (2009), 4 (2008), 2 (2007), 4 (2006), 2 (2005), 1 (2004), 4 (2001), 2 (2000), 2 (1998), 1 (1996) and 1 (1993).
For undergraduate students, I have been teaching general topology and algebraic topology. The numbers of students that I supervised were 2 (2024), 1 (2023), 2 (2022), 1(2021), 1 (2020), 5 (2019), 1 (2017), 1 (2016), 1 (2014), 1 (2012), 4 (2011), 4 (2010), 3 (2009), 2 (2008), 4 (2007), 3 (2006), 4 (2005), 3 (2004), 2 (2003), 2 (2001), 3 (2000), 6 (1999), 3 (1998), 3 (1996), 1 (1995), 3 (1993), 3 (1992), 2 (1991) and 4 (1988).
Other than the above mentioned activities, I have given 14 mini-courses in other universities. Furthermore, I have supervised 3 Brazilian students for their PhD.
Class subject
Class subject
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フーリエ・ラプラス変換と偏微分方程式
2024.10 - 2025.3 Second semester
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機能数理学概論I
2024.10 - 2025.3 Second semester
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幾何学II
2024.10 - 2025.3 Second semester
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数学創発モデリング
2023.4 - 2024.3 Full year
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位相幾何学基礎・演習
2023.4 - 2023.9 First semester
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フーリエ・ラプラス変換と偏微分方程式
2022.10 - 2023.3 Second semester
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フーリエ解析と偏微分方程式
2022.10 - 2023.3 Second semester
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数学特論３（位相幾何学）
2022.10 - 2023.3 Second semester
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位相幾何学大意
2022.10 - 2023.3 Second semester
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卓越基礎講究
2022.4 - 2023.3 Full year
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数学創発モデリング
2022.4 - 2023.3 Full year
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数理科学特論１３
2021.4 - 2021.9 First semester
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数理科学特別講義XⅢ
2021.4 - 2021.9 First semester
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位相幾何学大意
2020.4 - 2020.9 First semester
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数学特論３（位相幾何学）
2020.4 - 2020.9 First semester
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MMA数学入門
2019.4 - 2019.9 First semester
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数学基礎I演習
2018.4 - 2018.9 First semester
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フーリエ解析と偏微分方程式
2018.4 - 2018.9 First semester
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数学ⅡＡ
2018.4 - 2018.9 First semester
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MMA数学入門
2018.4 - 2018.9 First semester
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フーリエ解析と偏微分方程式
2017.10 - 2018.3 Second semester
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数学ⅡＡ
2017.10 - 2018.3 Second semester
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位相幾何学基礎・演習
2017.10 - 2018.3 Second semester
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数学基礎Ⅰ
2017.4 - 2017.9 First semester
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機能数理学概論Ⅰ
2017.4 - 2017.9 First semester
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フーリエ解析と偏微分方程式
2016.10 - 2017.3 Second semester
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機能数理学概論I
2016.4 - 2016.9 First semester
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MMA講究A
2016.4 - 2016.9 First semester
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数学基礎I
2016.4 - 2016.9 First semester
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数学基礎II
2015.10 - 2016.3 Second semester
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数学特論３（位相幾何学）
2015.4 - 2015.9 First semester
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位相幾何学大意
2015.4 - 2015.9 First semester
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数学基礎II
2014.10 - 2015.3 Second semester
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位相幾何学基礎・演習
2014.4 - 2014.9 First semester
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数学基礎
2013.4 - 2013.9 First semester
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数学基礎セミナー
2013.4 - 2013.9 First semester
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数学基礎
2012.4 - 2012.9 First semester
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数学基礎セミナー
2012.4 - 2012.9 First semester
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幾何学II・演習
2011.10 - 2012.3 Second semester
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編入学者のための特別授業「位相の初歩」
2011.4 - 2011.9 First semester
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位相幾何学基礎・演習
2011.4 - 2011.9 First semester
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幾何学Ａ・演習
2010.10 - 2011.3 Second semester
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数学展望
2010.4 - 2010.9 First semester
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幾何学Ａ・演習
2009.10 - 2010.3 Second semester
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位相幾何学大意
2008.10 - 2009.3 Second semester
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数学特論３
2008.10 - 2009.3 Second semester
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数学概論２・演習
2008.4 - 2008.9 First semester
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編入学者のための特別授業「基礎数学３（位相の初歩）」
2008.4 - 2008.9 First semester
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位相幾何学基礎・演習
2007.4 - 2007.9 First semester
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数学概論２・演習
2007.4 - 2007.9 First semester
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位相幾何学大意
2006.10 - 2007.3 Second semester
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数学特論３
2006.10 - 2007.3 Second semester
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微分積分続論
2006.4 - 2006.9 First semester
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幾何学Ａ・演習
2005.10 - 2006.3 Second semester
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位相幾何学基礎・演習
2004.10 - 2005.3 Second semester
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数学ＩＩＡ
2004.10 - 2005.3 Second semester
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幾何学Ａ・演習
2004.10 - 2005.3 Second semester
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位相幾何学基礎・演習
2003.10 - 2004.3 Second semester
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数学ＩＩＡ
2003.10 - 2004.3 Second semester
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幾何学Ａ・演習
2003.10 - 2004.3 Second semester
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幾何学Ａ・演習
2002.10 - 2003.3 Second semester
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数学ＩＩＡ
2002.10 - 2003.3 Second semester
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位相幾何学Ｉ
2002.4 - 2002.9 First semester
FD Participation
FD Participation
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2025.2 Role：Speech Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2022.4 Role：Planning Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2021.7 Role：Planning Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2021.3 Role：Participation Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2018.4 Role：Participation Title：数理学府教員会議ファカルティデベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2016.6 Role：Participation Title：数理学府教員会議ファカルティデベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2011.3 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2010.3 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2010.1 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2009.11 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2009.7 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2009.5 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2009.3 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2009.1 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2008.11 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2008.7 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2008.5 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2008.3 Role：Participation Title：九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2007.2 Role：Participation Title：平成１８年度九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2006.2 Role：Participation Title：平成１７年度九州大学大学院数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2004.9 Role：Participation Title：平成１６年度第回全学ＦＤ
Organizer：University-wide
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2003.1 Role：Participation Title：平成１４年度数理学研究院ファカルティ・デベロップメント
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2002.7 Role：Participation Title：平成１４年度第一回全学ＦＤ
Organizer：University-wide
Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.
Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.
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2012 東京工業大学 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：後期
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2011 大阪大学 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：前期
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2010 釜山大学校 Classification:Intensive course Domestic/International Classification:Overseas
Semester, Day Time or Duration：２０１０年８月３０日～９月２日
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2006 埼玉大学 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：後期
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2006 東京工業大学 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：後期
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2003 東京大学大学院数理科学研究科 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：後期、１月５日〜９日
Teaching Student Awards
Teaching Student Awards
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第２回 植物気候フィードバック 若手の会 優秀口頭発表賞
Year and month of award：2024.12
Classification of award-winning students：Postgraduate student Name of award-winning student：岩倉康樹
More details
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PCF2024 Best Poster Award
Year and month of award：2024.10
Classification of award-winning students：Postgraduate student Name of award-winning student：岩倉康樹
More details
Other educational activity and Special note
Other educational activity and Special note
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2023 Special Affairs 文部科学省令和２年度採択卓越大学院プログラム「マス・フォア・イノベーション卓越大学院プログラム」の中間評価において、プログラム・コーディネーターとして中心的役割を果たし、最高評価の『S』を取得した。
詳細を見る
文部科学省令和２年度採択卓越大学院プログラム「マス・フォア・イノベーション卓越大学院プログラム」の中間評価において、プログラム・コーディネーターとして中心的役割を果たし、最高評価の『S』を取得した。
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2022 Special Affairs 文部科学省の研究科等連係課程実施基本組織として、九州大学ダ・ヴィンチプログラムの枠組みの中で、マス・フォア・イノベーション連係学府が令和４年４月に設置されたが、その設置に本質的貢献をした。また、数理学系の副学府長に就任した。
詳細を見る
文部科学省の研究科等連係課程実施基本組織として、九州大学ダ・ヴィンチプログラムの枠組みの中で、マス・フォア・イノベーション連係学府が令和４年４月に設置されたが、その設置に本質的貢献をした。また、数理学系の副学府長に就任した。
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2021 Special Affairs The MEXT WISE program, Graduate Program of Mathematics for Innovation, has been approved and I am running the program as coordinator.
詳細を見る
The MEXT WISE program, Graduate Program of Mathematics for Innovation, has been approved and I am running the program as coordinator.
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2021 Special Affairs Kyushu University Leading PhD Program in Mathematics for Key Technologies, Program Coordinator
詳細を見る
Kyushu University Leading PhD Program in Mathematics for Key Technologies, Program Coordinator
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2020 Special Affairs Kyushu University Leading PhD Program in Mathematics for Key Technologies, Program Coordinator
詳細を見る
Kyushu University Leading PhD Program in Mathematics for Key Technologies, Program Coordinator
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2020 Special Affairs The MEXT WISE program, Graduate Program of Mathematics for Innovation, has been approved and I am running the program as coordinator.
詳細を見る
The MEXT WISE program, Graduate Program of Mathematics for Innovation, has been approved and I am running the program as coordinator.
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2010 Special Affairs Joint Lecture with Pusan National University for Graduate Students
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Joint Lecture with Pusan National University for Graduate Students
Outline of Social Contribution and International Cooperation activities
Outline of Social Contribution and International Cooperation activities
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I have written the following educational essays (in Japanese).
1. Let us enjoy books on Mathematics
2. Let us look at 4-dimensional spaces by using maps
3. Differential topology and singularities
4. Various ways to topology
5. When I encountered with Mathematics --- fascinated by the mystery
6. Mathematics is interesting
7. Book Review "Introduction to Topology (in Japanese)" by T. Tanaka and H. Murakami.
8. Differential topology and singularities
9. Mathematics, Industry, and Mathematics
10. Mathematics helps in an unexpected way -- Singularity Theory and Data Visualization
11. Foreword, Sugaku Tsushin, Vol.27, No.4, February 2023.
Social Activities
Social Activities
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デジタル・ニッポンの実現に向けた データ格付け数理基盤に関するシンポジウム クロージング「数学への期待とそれに応える人材育成への取組 」
Role(s)：Appearance
九州大学 マス・フォア・インダストリ研究所 九州大学（オンライン） 2020.12
More details
Audience：General, Scientific, Company, Civic organization, Governmental agency
Type：Seminar, workshop
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山門高校「レベルアップ講座」山門高校２年生対象
Role(s)：Lecturer
福岡県立山門高校 九州大学 2015.8
More details
Audience：High school students
Type：Lecture
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平成22年度山口県高等学校数学教育研究（長南）大会 「数学の汎用性 ― トポロジーの話題から ―」
Role(s)：Lecturer, Advisor
山口県高等学校数学教育研究部会 山口県立宇部中央高等学校 2010.10
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Audience：High school students, Teachers
Type：Lecture
トポロジーという数学の題材を例にとり，数学と実社会とのつながりについて，山口県の高校教員（数学）に対して説明した．特に，高校で数学を実際に教えている現場の教員に対して，数学がどのように社会に役立てられているか，大学の数学科を卒業した学生がどのように社会に求められているのか，詳しく説明した．現場の教育に役立てていただくことが目的であった．
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平成１６年度九州大学公開講座「現代数学入門」 等高線のトポロジー
Role(s)：Lecturer
九州大学大学院数理学研究院、福岡県教育委員会 九州大学国際ホール 2004.8
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Audience：High school students, College students, Graduate students, Teachers, General
Type：Lecture
Media Coverage
Media Coverage
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「教育は いま」テーマ「社会問題の解決に新視点」デジタル化進む現代の基礎 増す重要性 数学が変える世の中、開く人生 九州大に今春、新学府 Newspaper, magazine
西日本新聞 2022.5
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「教育は いま」テーマ「社会問題の解決に新視点」デジタル化進む現代の基礎 増す重要性 数学が変える世の中、開く人生 九州大に今春、新学府
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NHK特報フロンティア TV or radio program
ＮＨＫ 2012.2
More details
NHK特報フロンティア
Activities contributing to policy formation, academic promotion, etc.
Activities contributing to policy formation, academic promotion, etc.
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2025.2 - 2027.2 文部科学省
基礎研究振興部会部会長
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2023.2 - 2027.2 文部科学省
科学技術・学術審議会委員
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2023.2 - 2025.2 文部科学省
基礎研究振興部会委員
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2022.5 - 2023.8 京都大学数理解析研究所
京都大学数理解析研究所運営委員
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2021.9 - 2023.8 京都大学数理解析研究所
京都大学数理解析研究所専門委員
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2021.2 - 2021.3 明治大学先端数理科学インスティテュート
明治大学「私立大学研究ブランディング事業」外部評価委員
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2019.9 - 2021.8 京都大学数理解析研究所
京都大学数理解析研究所運営委員会委員
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2019.6 - 2023.3 JST
CREST 研究領域「数学・数理科学と情報科学の連携・融合による情報活用基盤の創出と社会課題解決に向けた展開」領域アドバイザー
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2017.6 - 2022.3 九州大学・文部科学省
数学アドバンストイノベーションプラットフォーム企画運営責任者
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2015.5 - 2024.3 明治大学先端数理科学インスティテュート
明治大学先端数理科学インスティテュート運営委員会委員
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2007.4 - 2009.3 京都大学数理解析研究所
京都大学数理解析研究所専門委員会委員
Acceptance of Foreign Researchers, etc.
Acceptance of Foreign Researchers, etc.
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Alfred Renyi Institute of Mathematics
Acceptance period： 2025.1 （Period）：Less than 2 weeks
Nationality：Hungary
Business entity：Japan Society for the Promotion of Science
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Universidade Federal de Sao Carlos
Acceptance period： 2024.9 - 2025.2 （Period）：1 month or more
Nationality：Brazil
Business entity：Foreign governments, foreign research institutes, international organizations
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University of Sao Paulo, Brazil
Acceptance period： 2024.1 （Period）：Less than 2 weeks
Nationality：Brazil
Business entity：Japan Society for the Promotion of Science
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CNRS and Aix-Marseille University
Acceptance period： 2023.10 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
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Alfred Renyi Institute of Mathematics
Acceptance period： 2023.5 - 2023.6 （Period）：Less than 2 weeks
Nationality：Hungary
Business entity：Japan Society for the Promotion of Science
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Alfred Renyi Institute of Mathematics
Acceptance period： 2023.2 （Period）：Less than 2 weeks
Nationality：Hungary
Business entity：Ministry of education
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University of Valencia
Acceptance period： 2022.12 （Period）：Less than 2 weeks
Nationality：Spain
Business entity：Private/Foundation
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University of Warsaw
Acceptance period： 2022.12 （Period）：Less than 2 weeks
Nationality：Poland
Business entity：Foreign governments, foreign research institutes, international organizations
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九州大学マス・フォア・インダストリ研究所
Acceptance period： 2021.4 - 2022.3 （Period）：1 month or more
Nationality：France
Business entity：Japan Society for the Promotion of Science
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サンパウロ大学
Acceptance period： 2019.10 - 2020.9 （Period）：1 month or more
Nationality：Colombia
Business entity：Foreign governments, foreign research institutes, international organizations
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九州大学マス・フォア・インダストリ研究所
Acceptance period： 2019.4 （Period）：Less than 2 weeks
Nationality：Russian Federation
Business entity：Japan Society for the Promotion of Science
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九州大学マス・フォア・インダストリ研究所
Acceptance period： 2017.11 - 2021.3 （Period）：1 month or more
Nationality：Germany
Business entity：Japan Society for the Promotion of Science
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School of Computing, Faculty of Engineering, University of Leeds, U.K.
Acceptance period： 2014.8 （Period）：Less than 2 weeks
Nationality：United Kingdom
Business entity：Japan Society for the Promotion of Science
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Universidade Federal de Uberlandia
Acceptance period： 2014.3 （Period）：Less than 2 weeks
Nationality：Brazil
Business entity：Ministry of education
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ICMC-USP
Acceptance period： 2014.3 （Period）：Less than 2 weeks
Nationality：Brazil
Business entity：Ministry of education
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ICMC-USP
Acceptance period： 2014.3 （Period）：Less than 2 weeks
Nationality：Brazil
Business entity：Ministry of education
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サンパウロ大学
Acceptance period： 2013.12 - 2014.2 （Period）：1 month or more
Nationality：Brazil
Business entity：Japan Society for the Promotion of Science
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サンカルロス連邦大学
Acceptance period： 2013.11 - 2014.3 （Period）：1 month or more
Nationality：Brazil
Business entity：Foreign governments, foreign research institutes, international organizations
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School of Computing, Faculty of Engineering, University of Leeds, U.K.
Acceptance period： 2013.2 （Period）：Less than 2 weeks
Nationality：United Kingdom
Business entity：Ministry of education
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University of South Alabama
Acceptance period： 2012.5 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
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シドニー大学
Acceptance period： 2011.11 （Period）：2weeks to less than 1 month
Nationality：Austria
Business entity：Japan Society for the Promotion of Science
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Institute of Mathematics, Vietnam Academy of Science and Technology
Acceptance period： 2011.9 （Period）：Less than 2 weeks
Nationality：Viet Nam
Business entity：Japan Society for the Promotion of Science
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Univ. Leuven
Acceptance period： 2011.9 （Period）：Less than 2 weeks
Nationality：Belgium
Business entity：Japan Society for the Promotion of Science
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Univ. Basel
Acceptance period： 2011.9 （Period）：Less than 2 weeks
Nationality：Switzerland
Business entity：Japan Society for the Promotion of Science
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Univ. Marseille
Acceptance period： 2011.9 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
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Univ. Strasbourg
Acceptance period： 2011.9 （Period）：Less than 2 weeks
Nationality：France
Business entity：Private/Foundation
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Institute of Mathematics, Vietnam Academy of Science and Technology
Acceptance period： 2011.9 （Period）：Less than 2 weeks
Nationality：Viet Nam
Business entity：Private/Foundation
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ICMAT
Acceptance period： 2011.9 （Period）：Less than 2 weeks
Nationality：Spain
Business entity：Private/Foundation
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サンパウロ大学
Acceptance period： 2010.10 - 2010.11 （Period）：2weeks to less than 1 month
Nationality：Brazil
Business entity：Japan Society for the Promotion of Science
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ケンブリッジ大学
Acceptance period： 2010.6 （Period）：Less than 2 weeks
Nationality：Hungary
Business entity：Japan Society for the Promotion of Science
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Central European University
Acceptance period： 2009.12 （Period）：Less than 2 weeks
Nationality：Hungary
Business entity：Japan Society for the Promotion of Science
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Strasbourg University
Acceptance period： 2009.11 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
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Bates College
Acceptance period： 2009.7 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
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Institut de Mathematiques de Luminy - CNRS
Acceptance period： 2008.11 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
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Max Planck Institut for Mathematics
Acceptance period： 2008.6 （Period）：Less than 2 weeks
Nationality：Turkey
Business entity：Japan Society for the Promotion of Science
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Max Planck Institute for Mathematics
Acceptance period： 2008.6 （Period）：Less than 2 weeks
Nationality：Russian Federation
Business entity：Japan Society for the Promotion of Science
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Eötvös Loránd University
Acceptance period： 2008.6 （Period）：Less than 2 weeks
Nationality：Hungary
Business entity：Japan Society for the Promotion of Science
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ステクロフ数学研究所
Acceptance period： 2006.12 （Period）：Less than 2 weeks
Nationality：Russian Federation
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モスクワ州立大学経済学部
Acceptance period： 2006.8 （Period）：2weeks to less than 1 month
Nationality：Russian Federation
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Alfred Renyi Institute of Mathematics
Acceptance period： 2006.2 - 2006.3 （Period）：1 month or more
Nationality：Hungary
Business entity：Private/Foundation
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なし
Acceptance period： 2005.10 - 2007.10 （Period）：1 month or more
Nationality：Russian Federation
Business entity：Japan Society for the Promotion of Science
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Luis Pasteur University, Strasbourg I
Acceptance period： 2004.9 （Period）：Less than 2 weeks
Nationality：France
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エトボス・ロラン大学
Acceptance period： 2003.9 （Period）：2weeks to less than 1 month
Nationality：Hungary
Business entity：Ministry of education
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University of Florida
Acceptance period： 2003.9 （Period）：2weeks to less than 1 month
Nationality：Russian Federation
Business entity：Ministry of education
Travel Abroad
Travel Abroad
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2025.3 - 2025.6
Staying countory name 1：United States Staying institution name 1：Kansas State University
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2024.9
Staying countory name 1：Poland Staying institution name 1：Faculty of Mathematics and Information Science of Warsaw University of Technology
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2024.7
Staying countory name 1：Spain Staying institution name 1：University of Valencia
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2024.4 - 2024.9
Staying countory name 1：France Staying institution name 1：Institut de recherche mathématique avancée, University of Strasbourg
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2024.3
Staying countory name 1：France Staying institution name 1：Institut de recherche mathématique avancée, University of Strasbourg
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2023.11
Staying countory name 1：Brazil Staying institution name 1：Universidade Federal do Ceara, Departamento de Matematica
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2023.9
Staying countory name 1：Poland Staying institution name 1：Faculty of Mathematics and Information Science of Warsaw University of Technology
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2023.9
Staying countory name 1：Viet Nam Staying institution name 1：FPT University
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2023.3
Staying countory name 1：Viet Nam Staying institution name 1：Vietnam Institute for Advanced Study in Mathematics
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2023.3
Staying countory name 1：Germany Staying institution name 1：Heidelberg University
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2023.2 - 2023.3
Staying countory name 1：Netherlands Staying institution name 1：RAI Congress Centre, Amsterdam, The Netherlands
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2022.11
Staying countory name 1：Australia Staying institution name 1：La Trobe University
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2022.7 - 2022.8
Staying countory name 1：Brazil Staying institution name 1：University of Sao Paulo at Sao Carlos
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2020.2
Staying countory name 1：United States Staying institution name 1：University of Illinois at Urbana-Champaign
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2019.11
Staying countory name 1：New Zealand Staying institution name 1：Massey University, Auckland
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2019.11
Staying countory name 1：Korea, Republic of Staying institution name 1：Ajou University
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2019.7
Staying countory name 1：Spain Staying institution name 1：Valencia
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2019.6
Staying countory name 1：Australia Staying institution name 1：La Trobe University
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2019.5
Staying countory name 1：Taiwan, Province of China Staying institution name 1：National Taiwan Normal University
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2019.3
Staying countory name 1：Korea, Republic of Staying institution name 1：Ajou University
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2018.12
Staying countory name 1：Korea, Republic of Staying institution name 1：National Institute for Mathematical Sciences
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2018.11
Staying countory name 1：China Staying institution name 1：Fudan University
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2018.7
Staying countory name 1：Brazil Staying institution name 1：ICMC, Univ. of São Paulo
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2017.11
Staying countory name 1：Brazil Staying institution name 1：Departamento de Matemática da Universidade Federal da Paraíba, João Pessoa
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2017.10
Staying countory name 1：United States Staying institution name 1：University of Hawaii at Manoa, Hawaii
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2017.9
Staying countory name 1：Australia Staying institution name 1：The University of Sydney
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2017.9
Staying countory name 1：Poland Staying institution name 1：IMPAN, Bedlewo
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2017.8
Staying countory name 1：Mexico Staying institution name 1：Instituto Tecnológico de Oaxaca
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2017.8
Staying countory name 1：Mexico Staying institution name 1：UNAM, Unidad Cuernavaca, Cuernavaca
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2017.7
Staying countory name 1：Germany Staying institution name 1：Schloss Dagstuhl – Leibniz Center for Informatics
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2017.2
Staying countory name 1：Viet Nam Staying institution name 1：VIASM, Hanoi
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2016.12
Staying countory name 1：Australia Staying institution name 1：La Trobe University, Melbourne
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2016.11
Staying countory name 1：Australia Staying institution name 1：Queensland University of Technology, Brisbane
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2016.7
Staying countory name 1：New Zealand Staying institution name 1：Victoria University of Wellington
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2015.9
Staying countory name 1：Poland Staying institution name 1：Banach Center, Warsaw
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2015.7
Staying countory name 1：Brazil Staying institution name 1：Federal University of Bahia
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2015.5
Staying countory name 1：Germany Staying institution name 1：Kurhaus Trifels
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2015.3
Staying countory name 1：Australia Staying institution name 1：La Trobe University
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2014.9
Staying countory name 1：China Staying institution name 1：東北師範大学
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2014.7 - 2014.8
Staying countory name 1：Brazil Staying institution name 1：ICMC-USP
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2014.3 - 2014.4
Staying countory name 1：Poland Staying institution name 1：Center for Advanced Studies, Warsaw University of Technology
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2013.9
Staying countory name 1：France Staying institution name 1：Laboratoire J. A. Dieudonné, Université de Nice Sophia Antipolis
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2013.8
Staying countory name 1：Brazil Staying institution name 1：ICMC-USP
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2013.6
Staying countory name 1：Germany Staying institution name 1：Max Planck Institute for Mathematics
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2013.6
Staying countory name 1：China Staying institution name 1：Shanghai Jiao Tong University
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2013.1 - 2013.2
Staying countory name 1：Australia Staying institution name 1：La Trobe University
Staying institution name 2：RMIT University
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2012.11
Staying countory name 1：Brazil Staying institution name 1：サンパウロ大学
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2012.9
Staying countory name 1：Singapore Staying institution name 1：National University of Singapore
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2012.3 - 2012.4
Staying countory name 1：United Kingdom Staying institution name 1：University of Cambridge
Staying countory name 2：France Staying institution name 2：Université de Strasbourg
Staying countory name 3：Germany Staying institution name 3：Max Planck Institute for Mathematics
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2011.10
Staying countory name 1：United States Staying institution name 1：University of Hawaii
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2011.9 - 2012.9
Staying countory name 1：Korea, Republic of Staying institution name 1：釜山大学
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2010.8 - 2010.9
Staying countory name 1：Korea, Republic of Staying institution name 1：釜山大学
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2008.12 - 2009.1
Staying countory name 1：Brazil Staying institution name 1：サンパウロ大学
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2008.7 - 2008.9
Staying countory name 1：France Staying institution name 1：ルイ・パスツール大学
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2003.2 - 2003.8
Staying countory name 1：France Staying institution name 1：ルイ・パスツール大学