MORISHITA MASANORI
Organization
Faculty of Mathematics Division of Algebra and Geometry Professor
Joint Graduate School of Mathematics for Innovation
（Concurrent）
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
Title
Professor
Contact information
Profile
Summary of the research: Study of Arithmetic Topology:
I am working on the interaction between number theory, 3-dimensional topology and mathematical physics from the view point of the analogy between primes and knots. I have obtained foundational results in arithmetic topology.
Teaching:
linear algebra, calculus, geometry, number theory, algebraic geometry, topology.
Advising:
Master degree 11 students, Doctoral degree 7 students.
External link
Research Areas
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Natural Science / Geometry
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Natural Science / Algebra
Degree
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Ph. D （ 1992.5 ）
Research History
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金沢大学：1992年7月〜2005年3月
Education
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The University of Tokyo Faculty of Science Department of Mathematics
1982.4 - 1986.3
Research Interests・Research Keywords
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Research theme： Arithmetic Topology
Keyword： Knots and Primes
Research period： 1998.12
Papers
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On arithmetic Dijkgraaf-Witten theory Invited Reviewed International journal
Hikaru Hirano, Junhyeong Kim, Masanori Morishita
Communications in Number Theory and Physics, Vol.17, 2023 2023.1
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On Adjoint Homological Selmer Modules for SL2-Representations of Knot Groups Reviewed International journal
Takahiro Kitayama, Masanori Morishita, Ryoto Tange, Yuji Terashima
International Mathematics Research Notices, rnac255, 2022 2022.9
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On 3-dimensional foliated dynamical systems and Hilbert type reciprocity law Invited Reviewed International journal
Junhyeong Kim, Masanori Morishita, Takeo Noda, Yuji Terashima
Münster Journal of Mathematics, !4 (2), 2021, 323--348. ( https://hyoka-lab.ir.kyushu-u.ac.jp/search/image/sel_kokai.svg ) 2021.7
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Arithmetic topology in Ihara theory II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols Invited Reviewed International journal
Hikaru Hirano, Masanori Morishita
J. Number Theory 198 (2019), 211–238. 2019.3
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On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field, Research in Number Theory, 4, (2018), 4:7 Reviewed International journal
Fumiya Amano, Yasushi Mizusawa, Masanori Morishita
Research in Number Theory, 4, (2018), 4:7 2018.12
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On certain L-functions for deformations of knot group representations, Transactions of AMS., Number 5, (2018), 3171–3195 Invited Reviewed International journal
Takahiro Kitayama, Masanori Morishita, Ryoto Tange, Yuji Terashima
Transactions of AMS., Number 5, (2018), 3171–3195 2018.12
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Arithmetic topology in Ihara theory, Publ. Res. Inst. Math. Sci. 53 (2017), no. 4, 629–688 Invited Reviewed International journal
Hisatoshi Kodani, Masanori Morishita, Yuji Terashima
Publ. Res. Inst. Math. Sci. 53 ( 4 ) 629 - 688 2017.12
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On the universal deformations for SL_2-representations of knot groups, Tohoku Math. J., 69 (2017), 67-84
Masanori Morishita, Yu Takakura, Yuji Terashima, Jun Ueki
Tohoku Math. J., 69 (2017), 67-84 2017.12
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p-Johnson homomorphisms and pro-p groups, Journal of Algebra, 479 (2017), 102-136 Invited Reviewed International journal
Masanori Morishita, Yuji Terashima
Journal of Algebra, 479 (2017), 102-136 2017.12
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Nilpotent class field theory for manifolds
Junhyeung Kim, Hisatoshi Kodani, Masanori Morishita
Proceedings of Japan Academy 89 ( 1 ) 15 - 19 2013.1
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Analogies between knots and primes, 3-manifolds and number rings
Masanori Morishita
Sugaku expositions 23 ( 1 ) 2010.7
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Milnor invariants and l-class groups International journal
M. Morishita
in Geometry and Dynamics of Groups and Spaces, In Memory of Alexander Reznikov, Progress in Math., Birkhauser, 589-603, 2008. 2008.4
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Geometry of polysymbols Reviewed International journal
M. Morishita, Y. Terashima
Mathematical Research Letters, 15, 95-116, 2008. 2008.4
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Pro-p link groups and p-homology groups International journal
J. Hillman, D. Matei and M. Morishita
Contemporary Math. 2006.10
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Arithmetic topology after Hida theory Invited Reviewed International journal
M. Morishita, Y. Terashima
Proceedings of `Intelligence of Low Dimensional Topology' in `Knots and Everything' 2006.7
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素数と結び目の類似について International journal
森下昌紀
数学, 日本数学会/岩波 2006.1
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On the Alexander stratification in the deformation space of Galois characters International journal
M.Morishita
Kyushu J. Math. 2006.1
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Milnor invariants and Massey products for prime numbers International journal
M.Morishita
Compositio Math. 2004.1
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On capitulation problem for 3-manifolds International journal
M.Morishita
Proceedings "Galois theory and Modular forms" 2003.1
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On certain analogies between knots and primes International journal
M.Morishita
J.Reine Angew. Math. 2002.1
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Redei's triple symbols and modular forms
Fumiya Amano, Hisatoshi Kodani, Masanori Morishita, Takayuki Sakamoto, Takafumi Yoshida
Tokyo J. Math. Vol. 36, no.2, 2013 1900
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Chern-Simons variation and Deligne cohomology Invited Reviewed International journal
M. Morishita, Y. Terashima
in: Spectral Analysis in Geometry and Number Theory on Prof. Toshikazu Sunada's 60th birthday, Contemporary Math., AMS. 1900
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On Adjoint Homological Selmer Modules for SL<sub>2</sub>-Representations of Knot Groups
Kitayama, T; Morishita, M; Tange, R; Terashima, Y
INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2023 ( 23 ) 19801 - 19826 2023.12 （ ISSN:1073-7928 eISSN:1687-0247 ）
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On arithmetic Dijkgraaf-Witten theory
HIRANO Hikaru, KIM Junhyeong, MORISHITA Masanori
Communications in Number Theory and Physics 17 ( 1 ) 1 - 61 2023 （ ISSN:19314523 eISSN:19314531 ）
Books
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森下昌紀（Role：Sole author）
森北出版 2024.7
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Knots and Primes - An Introduction to Arithmetic Topology, 2nd edition, Universitext
Masanori Morishita（Role：Sole author）
Springer 2024.6
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Knots and Primes -- An Introduction to Arithmetic Topology
Masanori Morishita（Role：Sole author）
Springer 2011.12
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結び目と素数
森下昌紀（Role：Sole author）
現代数学シリーズ 15, シュプリンガー・ジャパン 2009.4
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Editors: Masanori Morishita, Hiroaki Nakamura, Jun Ueki
Springer 2025 （ ISBN:9789819737772 ）
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Primes and Knots Reviewed
Editors: Toshitake Kohno and Masanori Morishita
Contemporary Mathematics 416 American Mathematical Society 2006
Presentations
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Refined arithmetic topology and arithmetic Chern-Simons theory
森下昌紀
代数的整数論とその周辺 2025.1
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Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems Invited
Masanori Morishita
Two days seminar on algebraic number theory and arithmetic topology 2024.12 Yasushi Mizusawa
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Refined arithmetic topology and arithmetic Chern-Simons TQFT Invited
Masanori Morishita
Noncommutativity at the Interface of Topology, Geometry and Analysis 2024.6
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Arithmetic Chern-Simons theory and metaplectic theory Invited
Masanori Morishita
Gauge Fields in Arithmetic, Topology and Physics 2024.4
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Knots and Primes - What do primes look like ? Invited International conference
Masanori Morishita
Public Lecture, Australia National University 2024.3
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Class field theory in arithmetic topology Invited International conference
Masanori Morishita
Algebra - Topology Seminar, Australia National University 2024.3
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On reciprocity laws in arithmetic topology Invited International conference
Masanori Morishita
Colloquium, Australia National University 2024.3
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On reciprocity laws in arithmetic topology Invited International conference
Masanori Morishita
Topology Seminar, Universidade de Santiago de Compostela 2024.1
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Reciprocity laws in arithmetic topology Invited
Masanori Morishita
The University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe, Mathematics - String Seminar 2023.12
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Class field theory for 3-dimensional foliated dynamical systems Invited International conference
Masanori Morishita
Colloquium, Seoul National University 2023.10
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Symbols on 3-manifolds and conformal field theory Invited International conference
Masanori Morishita
Gauge Fields in Arithmetic, Topology and Physics, ICMS, Edinburgh 2023.3
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Arithmetic Topology and Arithmetic TQFT Invited International conference
Masanori Morishita
Seminar, Muenster University 2022.8
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Arithmetic topology and arithmetic TQFT Invited International conference
Masanori Morishita
Feza Gursey, Boğaziçi Üniversitesi, Istanbul, Higher Structures Seminar (Online) 2022.5
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On arithmetic Dijkgraaf-Witten theory Invited International conference
Masanori Morishita
10th Pan Asian Number Theory Conference、RIMS Kyoto University (Online) 2021.12
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On arithmetic topology and arithmetic Dijkgraaf-Witten theory Invited International conference
Masanori Morishita
The University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe, Mathematics - String Seminar (Online) 2021.2
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On arithmetic Dijkgraaf-Witten theory Invited International conference
Masanori Morishita
Institute of Mathematics of the Romanian Academy, Geometric Method in Algabra and Topology Seminar (Online) 2021.2
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On 3-demensional foliated dynamical systems and Hilbert type reciprocity law Invited International conference
Masanori Morishita
JAMI confeence, Riemann-Roch in characteristic one and related topics 2020.10
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Arithmetic topology in Ihara theory: Milnor invariants, Heisenberg coverings and triple power residue symbols Invited International conference
Masanori Morishita
Profinite monodromy, Galois representations and Complex functions, in honor of Professor Yasutaka Ihara's 80th birthday 2018.5
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On 3-dimensional foliated dynamial systems and Hilbert reciprocity law Invited International conference
Masanori Morishita
Arithmetic and Analysis in honor of Christopher Deninger's 60th birthday, Muenster University, Germany 2018.4
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Arithmetic topology on deformations of knot group representations International conference
Masanori Morishita
Number Theory and Quantum Field Theory, CGP of IBS 2016.8
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Arithmetic topology in Ihara theory Invited International conference
Masanori Morishita
Grothendieck-Teichmuller theory, Chern Institute 2016.7
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Knots and Primes - An Introduction to Atithmetic Topology International conference
M. Morishita
Japan-Taiwan Joint Conference on Number Theory 2012.9
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Johnson maps in non-Abelian Iwasawa theory Invited International conference
M. Morishita
Oberwolfach workshop "Low dimensional topology and number theory" 2012.8
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The universal deformation and the associated homological invariants for hyperbolic knots International conference
M. Morishita(Joint with Y. Terashima)
Oberwolfach workshop, Low dimensional topology and number theory 2010.8
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Analogies between knot theory and number theory International conference
M. Morishita
Lectures at KAIST 2010.2
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結び目と素数 -- 双曲幾何と肥田理論の類似性について Invited
森下昌紀
日本数学会幾何学分科会 2009.3
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結び目と素数の類似について Invited
森下昌紀
日本数学会トポロジー分科会 2006.3
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On local symbols and the reciprocity law for foliated dynamical systems on 3-manifolds
森下昌紀
代数的整数論とその周辺, 京都大学数理解析研究所 2017.12
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Geometry of polysymbols
M.Morishita, and Y. Terashima
Conference on Algebraic number theory and related topics, Kyoto 2005.12
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Higher linking symbols International conference
M. Morishita
Conference on ``Analogies between number fields and function fields'', Netherland 2004.4
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Pro-$p$ link groups and $p$-homology groups International conference
M.Morishita, J.Hillman and D. Matei
Workshop on Topology and Geometry, Hiroshima 2003.4
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Number theory and 3-dimensional topology International conference
M.Morishita
JAMI conference, Baltimore, 2003 2003.3
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Analogies between knots and primes, 3-manifolds and number fields International conference
M.Morishita
AMS National Meeting (No.983), Special Session "Primes and Knots", Baltimore 2003.1
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Arithmetic Topology after Iwasawa-Hida theory Invited International conference
M. Morishita
Geometry and Dynamics of Groups and Spcaces, Alexander Reznikov memorial conference, Max Planck Inst. 2006.9
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Chern-Simons variation and Hida-Mazur theory Invited International conference
M. Morishita(Joint with Y. Terashima)
Spectral Analysis in Geometry and Number Theory on Prof. Toshikazu Sunada's 60th birthday 2007.8
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Chern-Simons variation and Hida-Mazur theory Invited International conference
M. Morishita (Joint with Y. Terashima)
``Low Dimensional Topology and Number Theory'', Banff, Canada 2007.10
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Analogies between knot theory and number theory Invited International conference
M. Morishita
Invited lectures at Mathematics Center, University of Heidelberg 2008.11
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結び目と素数 - 数論的位相幾何学入門 Invited
森下昌紀
仙台シンポジウム 2011.8
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数論的位相幾何学と数論的場の理論 Invited
森下昌紀
代数学シンポジウム 2011.8
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Knots and Primes International conference
M. Morishita
Tata Institute of Fundamental Research 2012.2
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Redei記号の多重化とMaass波動形式, Johnson maps in non-Abelian Iwasawa theory
森下 昌紀
北陸数論研究集会 2012.12
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Johnson maps in non-Abelian Iwasawa theory
森下 昌紀
早稲田大学整数論研究集会 2013.3
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Johnson maps in non-Abelian Iwasawa theory International conference
Masanori Morishita
JAMI conference, In honor of Professor Takashi Ono, Johns Hopkins University,U.S.A 2013.4
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Milnor invariants and Maass wave forms Invited International conference
Masanori Morishita
Quantum Topology and Hyperbolic Geometry, Nha Trang, Vietnam 2013.5
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結び目理論と整数論 -- 数論的位相幾何学
森下 昌紀
Encounter with Mathematics, 中央大学 2013.5
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Johnson-Kawazumi maps in non-Abelian Iwasawa theory Invited International conference
森下 昌紀
Workshop: Johnson homomorphisms, University of Tokyo 2013.6
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Arithmetic Milnor invariants and multiple power residue symbols in number fields
Masanori Morishita
代数的整数論とその周辺 2014.12
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On local symbols and the reciprocity law for foliated dynamical systems on 3-manifolds
Masanori Morishita
Arithmetic Chern-Simons Theory, Leiden University, Holland 2017.5
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Milnor invariants in Ihara theory and triple power residue symbols
Masanori Morishita
Low-dimensional Topology and Number Theory, Oberwolfach, Germany 2017.8
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Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems Invited
Masanori Morishita
Two days seminar on algebraic number theory and arithmetic topology 2024.12
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Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems International conference
Masanori Morishita
Two days seminar on algebraic number theory and arithmetic topology 2024.12 Yasushi Mizusawa
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Refined arithmetic topology and arithmetic Chern-Simons TQFT Invited International conference
Masanori Morishita
Noncommutativity at the Interface of Topology, Geometry and Analysis 2024.6
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Variations of hyperbolic structures on a knot complement and of modular Galois representations Invited
M. Morishita(Joint with Y. Terashima)
``Intelligence of Low Dimensional Topology'', Hiroshima, 2006 2006.7
MISC
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ガウスと2（次） Reviewed
森下昌紀
数学セミナー 21-23 2021.12
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素数のイデアと描像 Reviewed
森下昌紀
数理科学（サイエンス社） 2019.12
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平方剰余と結び目
森下 昌紀
数学セミナー, 日本評論社 2016.1
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結び目と素数 -- 数論的位相幾何学 --
森下昌紀
「日本の現代数学」, 数学書房 2010.6
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数論と結び目不変量
森下昌紀
数理科学, サイエンス社 2009.10
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あきらめないで, 数学の道しるべ５～研究者の道とは何か～
森下昌紀
数理科学, サイエンス社 2008.12
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幾何学と数論--結び目群とGalois群の表現のモジュライ--.
森下昌紀
数理科学, サイエンス社 2005.8
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素数と結び目
森下昌紀
数学のたのしみ、日本評論社 2004.9
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数論と３次元トポロジー
森下昌紀
数理科学、サイエンス社 2003.6
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数論的位相幾何学と数論的場の理論
森下昌紀
代数学シンポジウム報告集 2011.12
Professional Memberships
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日本数学会
Academic Activities
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Low dimensional topology and number theory XVI: In honor of Professor Hiroaki Nakamura's 60th birthday International contribution
Role(s)： Planning, management, etc.
Organizer 2025.3
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Low dimensional topology and number theory XV: 主催者 International contribution
Role(s)： Planning, management, etc.
Low dimensional topology and number theory XV （ Japan ） 2024.3
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Low dimensional topology and number theory XIV: 主催者 International contribution
Gauge Fields in Arithmetic, Topology and Physics （ ICMS, Edinburgh Scotland ） 2023.3
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Low dimensional topology and number theory XIII: To the memory of Professor Toshie Takata: 主催者 International contribution
Low dimensional topology and number theory XIII （ Japan ） 2022.3
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Low dimensional topology and number theory XI: 主催者 International contribution
Low dimensional topology and number theory XI （ Japan ） 2019.3
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Low dimensional topology and number theory X: 主催者 International contribution
Low dimensional topology and number theory X （ Japan ） 2018.3
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Low dimensional topology and number theory IX: 主催者 International contribution
Low dimensional topology and number theory IX （ Japan ） 2017.3
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Low dimensional topology and number theory VIII:主催者 International contribution
Low dimensional topology and number theory VIII （ Japan ） 2016.3
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Low dimensional topology and number theory VII: 主催者 International contribution
Low dimensional topology and number theory VII （ Japan ） 2015.3
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Low dimensional topology and number theory VI: 主催者 International contribution
Low dimensional topology and number theory VI （ Japan ） 2014.3
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Low dimensional topology and number theory V: 主催者 International contribution
Low dimensional topology and number theory V （ Japan ） 2013.3
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Low dimensional topology and number theory IV: 主催者
Role(s)： Planning, management, etc.
2012.3
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Low dimensional topology and number theory III: 主催者 International contribution
Low dimensional topology and number theory III （ Japan ） 2011.3
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Low dimensional topology and number theory II: 主催者 International contribution
Low dimensional topology and number theory II （ Japan ） 2010.3
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Low dimensional topology and number theory I: 主催者 International contribution
Low dimensional topology and number theory I （ Japan ） 2009.3
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科学研究費助成事業 審査委員
Role(s)： Review, evaluation
2024.4 - 2025.3
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Screening of academic papers
Role(s)： Peer review
2024
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Screening of academic papers
Role(s)： Peer review
2023
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科学研究費助成事業 審査委員
Role(s)： Review, evaluation
2022.4 - 2023.3
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Screening of academic papers
Role(s)： Peer review
2022
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科学研究費助成事業 審査委員
Role(s)： Review, evaluation
2021.4 - 2022.3
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Screening of academic papers
Role(s)： Peer review
2020
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Screening of academic papers
Role(s)： Peer review
2018
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主催者 International contribution
Low dimensional topology and number theory IV （ Japan ） 2012.3
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科学研究費助成事業 審査委員
Role(s)： Review, evaluation
2011.4 - 2012.3
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Primes and Knots, Contemporary Mathematics, American Mathematical Society, 2006 International contribution
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Low Dimensional Topology and Number Theory, Springer Proceedings in Mathematics & Statistics, In Memory of Professor Toshie Takata International contribution
Research Projects
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数論的位相幾何学に基づく数論的場の量子論の構築と絶対幾何学との融合
Grant number：22K03270 2022 - 2025
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
森下 昌紀
Authorship：Principal investigator Grant type：Scientific research funding
数論的位相幾何学に基づき、数論的Dijkgraaf-Witten位相的場の理論、数論的Chern-Simons位相的場の理論を構築する。同時に付随する数論的共形場の理論や数論的フュージョン代数の理論を構築する。まず、ゲージ群が有限群の場合、次にp進ゲージ群の場合を考える。久保田-Weilに始まるメタプレクティック理論との関係を明らかにし、Sega-Witten相互律の数論的類似を確立することが目標である。また、関連して、整数環に対しDeningerの力学系、絶対幾何学を研究する。
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Grant number：21H04428 2021.4 - 2026.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
大槻 知忠, 伊藤 哲也, 佐伯 修, 茂手木 公彦, 藤原 耕二, 山下 靖, 森下 昌紀, 逆井 卓也, 宮澤 康行, 谷山 公規, 正井 秀俊, 大山 淑之, 小林 毅, 小島 定吉
Grant type：Scientific research funding
結び目の体積予想と3次元多様体の体積予想は、量子トポロジーと双曲幾何をむすびつける懸案の重要な予想である。体積予想の発展として、その漸近展開の高次の項に現われる不変量は、3次元双曲多様体の 3d-index という不変量や、Chern-Simons摂動理論の非自明平坦接続からの寄与の不変量と、関連することが期待される。3次元双曲多様体には、豊かな構造をもった多くの不変量があることが期待され、それらの不変量の量子トポロジーを構築することをめざす。それから、各年度に、国際会議「幾何的トポロジーの東アジア会議」と、研究集会「トポロジーシンポジウム」「Intelligence of Low-dimensional Topology」「結び目の数理」を開催する。
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Grant number：20H00115 2020.4 - 2025.3
Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
中村 博昭, 角皆 宏, 河澄 響矢, 森下 昌紀, 星 明考, 伊吹山 知義, 古庄 英和, 高橋 浩樹, 小笠原 健
Grant type：Scientific research funding
本研究では，ガロア・タイヒミュラー群の普遍モノドロミー表現，正則逆ガロア問題に関わるリフトと特殊化，モノドロミー不変量としての種々の数論的関数の醸成，の三つの柱に集約される新しい観点からの方法を導入し，数論トポロジーに対する有機的な構造解析を進める．理論的考察とともに計算機による実例計算とを総合して数論側とトポロジー側との類似性比較に関する詳細な理解を追求するとともに，両者を繋ぐバイパス構築の手がかりに関わる数学的構造の理解の深化を目指す．
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数論的位相幾何学の深化と新展開
Grant number：17H02837 2017 - 2020
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Authorship：Principal investigator Grant type：Scientific research funding
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数論的位相幾何学の発展と数論的場の理論
Grant number：24340005 2012 - 2015
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Authorship：Principal investigator Grant type：Scientific research funding
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数論的位相幾何学の発展と応用
Grant number：21340010 2009 - 2011
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Authorship：Principal investigator Grant type：Scientific research funding
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数論的位相幾何学の育成
Grant number：19540038 2007 - 2008
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Authorship：Principal investigator Grant type：Scientific research funding
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数論的位相幾何学の基礎づけと育成
Grant number：17540020 2005 - 2006
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Authorship：Principal investigator Grant type：Scientific research funding
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代数的整数論と３次元トポロジーの相互啓発的研究
2003 - 2004
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Authorship：Principal investigator Grant type：Scientific research funding
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素数と結び目、代数体の数論と３次元トポロジーの類似・融合
2001 - 2002
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Authorship：Principal investigator Grant type：Scientific research funding
Educational Activities
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Educational Activities
Lectures: Linear algebra, Calculus, Algebra, Geometry, Number Theory (Arithmetic Topology), Algebraic Geometry, Topology (Knot Theory), Complex function theory
Intensive Lectures: Kyushu Univ., Kyoto Univ., Tohoku Univ., Univ. of Tokyo, University of Heidelberg, KAIST, Busan Univ.
Advising graduate students: Master degree 11 students, Doctoral degree 7 students
Class subject
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線形代数学II
2024.10 - 2025.3 Second semester
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線形代数学I
2024.4 - 2024.9 First semester
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位相幾何学基礎・演習
2024.4 - 2024.9 First semester
-
幾何学I
2023.4 - 2023.9 First semester
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数論基礎・演習
2023.4 - 2023.9 First semester
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MMA講究A
2023.4 - 2023.9 First semester
-
MMA講究C
2022.10 - 2023.3 Second semester
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幾何学I
2022.4 - 2022.9 First semester
-
幾何学II
2021.10 - 2022.3 Second semester
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微分積分III
2021.4 - 2021.9 First semester
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代数幾何学基礎・演習
2021.4 - 2021.9 First semester
-
数学展望
2021.4 - 2021.9 First semester
-
幾何学II
2020.10 - 2021.3 Second semester
-
代数幾何学基礎・演習
2020.4 - 2020.9 First semester
-
数学展望
2020.4 - 2020.9 First semester
-
微分積分III
2020.4 - 2020.9 First semester
-
微分積分
2019.4 - 2019.9 First semester
-
数論基礎・演習
2019.4 - 2019.9 First semester
-
微分積分
2018.10 - 2019.3 Second semester
-
初等整数論
2018.10 - 2019.3 Second semester
-
数論基礎・演習
2018.4 - 2018.9 First semester
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微分積分学
2017.10 - 2018.3 Second semester
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初等整数論
2017.10 - 2017.12 Fall quarter
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MMA講究
2016.4 - 2016.9 First semester
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数学演習ＩＢ
2015.10 - 2016.3 Second semester
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数論基礎・演習
2015.4 - 2015.9 First semester
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数論大意
2015.4 - 2015.9 First semester
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数学演習IB
2014.10 - 2015.3 Second semester
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代数幾何学大意
2014.4 - 2014.9 First semester
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代数幾何学大意
2013.10 - 2014.3 Second semester
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幾何学II
2013.10 - 2014.3 Second semester
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線形代数
2012.10 - 2013.3 Second semester
-
幾何学II
2012.10 - 2013.3 Second semester
-
数論基礎・演習
2012.10 - 2013.3 Second semester
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複素関数論
2011.10 - 2012.3 Second semester
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線形代数
2011.4 - 2012.3 Full year
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微分積分続論
2011.4 - 2011.9 First semester
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位相幾何学
2010.10 - 2011.3 Second semester
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線形代数
2010.10 - 2011.3 Second semester
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複素関数論
2010.10 - 2011.3 Second semester
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微分積分続論
2010.4 - 2010.9 First semester
-
数学特論（代数）
2009.10 - 2010.3 Second semester
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結び目理論
2009.4 - 2009.9 First semester
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微分積分続論
2009.4 - 2009.9 First semester
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基礎数学演習
2009.4 - 2009.9 First semester
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幾何学Ａ
2008.10 - 2009.3 Second semester
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微分積分
2008.4 - 2009.3 Full year
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線形代数
2008.4 - 2009.3 Full year
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幾何学Ａ
2007.10 - 2008.3 Second semester
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線形代数
2007.4 - 2008.3 Full year
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幾何学的類体論
2007.4 - 2007.9 First semester
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幾何学Ａ
2006.10 - 2007.3 Second semester
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数論的位相幾何学
2006.4 - 2006.9 First semester
FD Participation
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2024.4 Role：Participation Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2022.5 Role：Participation Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
-
2019.3 Role：Participation Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
-
2018.7 Role：Participation Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
-
2018.3 Role：Participation Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
-
2017.7 Role：Participation Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
-
2017.3 Role：Moderator Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
-
2016.7 Role：Moderator Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
-
2016.3 Role：Participation Title：数理学研究院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.
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2010 釜山大学 Domestic/International Classification:Overseas
Semester, Day Time or Duration：9月
-
2008 University of Heidelberg Domestic/International Classification:Overseas
Semester, Day Time or Duration：11月
-
2007 近畿大学 Domestic/International Classification:Japan
Semester, Day Time or Duration：12月
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2007 東北大学, 理学研究科 Classification:Intensive course
Semester, Day Time or Duration：後期
-
2007 東京大学, 数理科学研究科 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：後期
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2005 京都大学理学研究科 Classification:Intensive course Domestic/International Classification:Japan
Semester, Day Time or Duration：後期
Other educational activity and Special note
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2017 Special Affairs 東筑高校 出張講義
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2017 Special Affairs 舞鶴高校 出張講義
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2011 Special Affairs 奈良女子大学 院生企画セミナー「結び目と素数--数論的位相幾何学入門」
Outline of Social Contribution and International Cooperation activities
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Annual meeting of AMS, Special Session`Primes and Knots' Organizer(2003)
Japan-U.S Mathematical Institute Conference `Primes and Knots' at Johns Hopkins University, USA Organizer(2003)
Lectures at high schools in Ishikawa and Fukui (2003, 2004)
Muenster Research Fellow, Muenster University (2022, July-August)
Gauge Fields in Arithmetic, Topology and Physics, ICMS, Edinburgh, Scotland (2023, March)
Social Activities
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結び目と素数
舞鶴高校 2017.10
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結び目と素数
東筑高校 2017.9
Acceptance of Foreign Researchers, etc.
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Goethe Universität Frankfurt Am Main
Acceptance period： 2025.3 （Period）：Less than 2 weeks
Nationality：Germany
Business entity：Japan Society for the Promotion of Science
-
Chennai Mathematical Institute
Acceptance period： 2024.3
Nationality：India
-
University of Pennsylvania and University of Haifa
Acceptance period： 2024.3
Nationality：Israel
-
Australian National University
Acceptance period： 2023.3 - 2023.4 （Period）：Less than 2 weeks
Nationality：Australia
Business entity：Japan Society for the Promotion of Science
-
USC
Acceptance period： 2023.3 - 2023.4 （Period）：Less than 2 weeks
Nationality：Spain
Business entity：Japan Society for the Promotion of Science
-
Emory University
Acceptance period： 2019.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Georgia Institute of Technology
Acceptance period： 2015.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Universit ́e de Gen`eve
Acceptance period： 2015.3 （Period）：Less than 2 weeks
Nationality：Switzerland
Business entity：Japan Society for the Promotion of Science
-
Universit`e de Strasbourg & CNRS
Acceptance period： 2015.3 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
-
Universit ́e de Gen`eve
Acceptance period： 2015.3 （Period）：Less than 2 weeks
Nationality：Switzerland
Business entity：Japan Society for the Promotion of Science
-
Cornell University
Acceptance period： 2015.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
University of Heidelberg
Acceptance period： 2014.3 （Period）：Less than 2 weeks
Nationality：Germany
Business entity：Japan Society for the Promotion of Science
-
Universit ̈at Z ̈urich
Acceptance period： 2014.3 （Period）：Less than 2 weeks
Nationality：Switzerland
Business entity：Japan Society for the Promotion of Science
-
Georgia Institute of Technology
Acceptance period： 2014.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Ben Gurion University)
Acceptance period： 2014.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Harvard University
Acceptance period： 2014.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Florida State University
Acceptance period： 2013.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Science and Technology Agency
-
Institut de Math ́ematiques de Jussieu
Acceptance period： 2013.3 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
-
Georgia Institute of Technology
Acceptance period： 2013.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Korea Institute for Advanced Study
Acceptance period： 2013.3 （Period）：Less than 2 weeks
Nationality：Korea, Republic of
Business entity：Japan Society for the Promotion of Science
-
Universit ́e du Quebec `a Montr ́eal
Acceptance period： 2013.3 （Period）：Less than 2 weeks
Nationality：Canada
Business entity：Japan Society for the Promotion of Science
-
Georgia Institute of Technology
Acceptance period： 2012.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
IAS, Princeton
Acceptance period： 2012.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Universitat Autonoma de Barcelona
Acceptance period： 2012.3 （Period）：Less than 2 weeks
Nationality：Spain
Business entity：Japan Society for the Promotion of Science
-
University of Illinois at Chicago
Acceptance period： 2012.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
University of South Alabama
Acceptance period： 2011.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Florida State University
Acceptance period： 2011.3 （Period）：Less than 2 weeks
Business entity：Japan Society for the Promotion of Science
-
Universit ́e Montpellier 2
Acceptance period： 2011.3 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
-
University of Cologne
Acceptance period： 2011.3 （Period）：Less than 2 weeks
Nationality：Germany
Business entity：Japan Society for the Promotion of Science
-
SUNY, Buffalo
Acceptance period： 2011.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Georgia Institute of Technology
Acceptance period： 2011.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Institut de Jussieu
Acceptance period： 2011.3 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
-
University of South Alabama
Acceptance period： 2011.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Florida State University
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Georgia Institute of Technology
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
California Institute of Technology
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
California Institute of Technology
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
Queen Mary University of London
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：United Kingdom
Business entity：Japan Society for the Promotion of Science
-
California Institute of Technology
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
University of South Alabama
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
University of South Alabama
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：Australia
Business entity：Japan Society for the Promotion of Science
-
University of Sydney
Acceptance period： 2010.3 （Period）：Less than 2 weeks
Nationality：Australia
Business entity：Japan Society for the Promotion of Science
-
University of South Alabama
Acceptance period： 2009.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
University of South Alabama
Acceptance period： 2009.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
University of Bordeaux
Acceptance period： 2009.3 （Period）：Less than 2 weeks
Nationality：France
Business entity：Japan Society for the Promotion of Science
-
Korea Institute for Advanced Study
Acceptance period： 2009.3 （Period）：Less than 2 weeks
Nationality：Korea, Republic of
Business entity：Japan Society for the Promotion of Science
-
Georgia Institute of Technology
Acceptance period： 2009.3 （Period）：Less than 2 weeks
Nationality：United States
Business entity：Japan Society for the Promotion of Science
-
University of Sydney
Acceptance period： 2009.3 （Period）：Less than 2 weeks
Nationality：Australia
Business entity：Japan Society for the Promotion of Science
-
University of Sydney
Acceptance period： 2006.12
Nationality：Australia
Business entity：Japan Society for the Promotion of Science
Travel Abroad
-
2024.6
Staying countory name 1：Italy Staying institution name 1：Bologna University
-
2024.4
Staying countory name 1：United Kingdom Staying institution name 1：International Centre for Mathematical Sciences, Edinburgh
-
2024.3
Staying countory name 1：Australia Staying institution name 1：Australia National University
-
2024.1
Staying countory name 1：Spain Staying institution name 1：Universidade de Santiago de Compostela
-
2024.1
Staying countory name 1：Germany Staying institution name 1：Muenster University
-
2023.12
Staying countory name 1：United States Staying institution name 1：Harvard University
-
2023.11 - 2023.12
Staying countory name 1：United States Staying institution name 1：Institute for Advanced Study
-
2023.11
Staying countory name 1：United States Staying institution name 1：Johns Hopkins University
-
2023.10
Staying countory name 1：Korea, Republic of Staying institution name 1：Seoul National University
-
2023.3
Staying countory name 1：United Kingdom Staying institution name 1：International Centre for Mathematical Sciences, Edinburgh
-
2022.7 - 2022.8
Staying countory name 1：Germany Staying institution name 1：Muenster University (Muenster Research Fellow)
-
2018.4
Staying countory name 1：Germany Staying institution name 1：Muenster University
-
2013.5
Staying countory name 1：Viet Nam Staying institution name 1：Nha Trang College of Education
-
2013.4
Staying countory name 1：United States Staying institution name 1：Johns Hopkins University
-
2012.9
Staying countory name 1：Taiwan, Province of China Staying institution name 1：National Center for Theoretical Science
-
2012.8
Staying countory name 1：Germany Staying institution name 1：Mathematisches Forschungsinstitut Oberwolfach
-
Staying countory name 1：Netherlands Staying institution name 1：Leiden University
-
Staying countory name 1：Canada Staying institution name 1：University of Toronto
-
Staying countory name 1：Australia Staying institution name 1：University of Sydney
-
Staying countory name 1：China Staying institution name 1：Chern Institute of Mathematics
-
Staying countory name 1：Korea, Republic of Staying institution name 1：Center of Geometry and Physics, Institute of Basic Science
-
Staying countory name 1：United States Staying institution name 1：Johns Hopkins University
-
Staying countory name 1：Taiwan, Province of China Staying institution name 1：National Center for Theoretical Science
-
Staying countory name 1：India Staying institution name 1：Tata Institute of Fundamental Research
-
Staying countory name 1：Korea, Republic of Staying institution name 1：Pusan University
-
Staying countory name 1：Germany Staying institution name 1：Mathematisches Forschungsinstitut Oberwolfach
-
Staying countory name 1：Korea, Republic of Staying institution name 1：Korea Advanced Institute of Science and Technology
-
Staying countory name 1：Germany Staying institution name 1：University of Heidelberg
-
Staying countory name 1：Korea, Republic of Staying institution name 1：Korea Institute for Advanced Study
-
Staying countory name 1：Germany Staying institution name 1：Max Planck Institute