Updated on 2024/07/28

Information

 

写真a

 
SUMI TOSHIO
 
Organization
Faculty of Arts and Science Division for Theoretical Natural Science Professor
School of Sciences Department of Mathematics(Joint Appointment)
Graduate School of Mathematics Department of Mathematics(Joint Appointment)
Title
Professor
Profile
My research focuses on transformation theories. I am currently interested in the interactions between finite group actions on spheres and representations of finite groups. Also I am studying properties of 2-knots by twisted Alexander polynomials and the rank of real tensors. I contribute to the KIKAN education for the way to active learners and focusing on mathematical approaches to developing media environments.
External link

Degree

  • Dr. Sci.

Research History

  • 福岡大学 1992年10月−1994年3月

Research Interests・Research Keywords

  • Research theme:Classification of knots by twisted Alexander polynomials

    Keyword:ribbon 2-knots, twisted Alexander polynomial

    Research period: 2018.2

  • Research theme:On Borsuk-Ulam groups

    Keyword:representation spaces

    Research period: 2017.10

  • Research theme:Relationship between plural typical ranks of tensors and existence of a nonsingular multilinear map

    Keyword:typical rank

    Research period: 2014.1

  • Research theme:Rank, Typical rank of higher order tensors

    Keyword:tensor, arrays, rank, typical rank, generic rank

    Research period: 2008.7

  • Research theme:Finite group action on a sphere with two fixed points and tangential representation spaces

    Keyword:group action, sphere, tangential representation

    Research period: 2006.8

  • Research theme:A finite group possessing a gap module

    Keyword:gap group, representation, finite group action

    Research period: 2000.4

Papers

  • Extension of Takahashi’s ribbon 2knots with isomorphic groups Reviewed International journal

    32 ( 2 )   2023.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    We give infinitely many pairs of ribbon 2-knots of 1-fusion in S4 with isomorphic knot groups, which extend Takahashi’s examples. They are distinguished by the trace sets, which are calculated by using SL(2, C)-representations of the knot groups.

    DOI: 10.1142/S021821652350013X

  • Twisted Alexander polynomial of a ribbon 2-knot of 1-fusion Reviewed International journal

    Taizo Kanenobu, Toshio Sumi

    Osaka Journal of Mathematics   57 ( 4 )   789 - 803   2020.10

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Suciu's ribbon 2-knots with isomorphic group Reviewed International journal

    Taizo Kanenobu, Toshio Sumi

    Journal of Knot Theory and Its Ramifications   29 ( 7 )   2020.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1142/S0218216520500534

  • Classification of ribbon 2-knots presented by virtual arcs with up to four crossings Reviewed International journal

    Taizo Kanenobu, Toshio Sumi

    Journal of Knot Theory and Its Ramifications   28 ( 10 )   2019.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: http://dx.doi.org/10.1142/S0218216519500676

  • Typical ranks of semi-tall real 3-tensors Reviewed International journal

    Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata

    Linear and Multilinear Algebra   2019.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/03081087.2019.1637811

  • Classification of a family of ribbon 2-knots with trivial Alexander polynomial Reviewed International journal

    Taizo Kanenobu, Toshio Sumi

    Communications of the Korean Mathematical Society   33 ( 2 )   591 - 604   2018.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: http://doi.org/10.4134/CKMS.c170222

  • Typical ranks of certain 3-tensors and absolutely full column rank tensors Reviewed International journal

    Mitsuhiro Miyazaki, Toshio Sumi, Toshio Sakata

    Linear and Multilinear Algebra   66 ( 1 )   193 - 205   2017.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: http://www.tandfonline.com/doi/abs/10.1080/03081087.2017.1292994

  • Typical ranks for 3-tensors, nonsingular bilinear maps and determinantal ideals Reviewed International journal

    Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata

    Journal of Algebra   471 ( 1 )   409 - 453   2017.2

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: http://dx.doi.org/10.1016/j.jalgebra.2016.09.028

  • Richness of Smith equivalent modules for finite gap Oliver groups Reviewed International journal

    Toshio Sumi

    Tohoku Journal of Mathematics   68 ( 3 )   457 - 469   2016.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: doi:10.2748/tmj/1474652268

    Other Link: https://projecteuclid.org/euclid.tmj/1474652268

  • Typical rank of mxnx(m-1)n tensors with 3<=m<=n over the real number field Reviewed International journal

    Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata

    Linear and Multilinear Algebra   63 ( 5 )   940 - 955   2015.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: http://dx.doi.org/10.1080/03081087.2014.910206

  • Centralizers of gap groups Reviewed International journal

    Toshio Sumi

    Fundamenta Mathematicae   226   101 - 121   2014.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4064/fm226-2-1

  • Smith sets of non-solvable groups whose nilquotients are cyclic groups of order 1,2, or 3 Reviewed International journal

    RIMS Kokyuroku Bessatsu   B39   149 - 165   2013.6

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • The Laitinen Conjecture for finite non-solvable groups Reviewed International journal

    Krzysztof Pawalowski, Toshio Sumi

    Proceedings of the Edinburgh Mathematical Society   56 ( 1 )   303 - 336   2013.2

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    Language:English   Publishing type:Research paper (international conference proceedings)  

    DOI: http://dx.doi.org/10.1017/S0013091512000223

  • Typical ranks for m x n x (m-1)n tensors with m<=n Reviewed International journal

    Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata

    Linear Algebra and its Applications   438 ( 2 )   953 - 958   2013.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.laa.2011.08.009

  • The gap hypothesis for finite groups which have an abelian quotient group not of order a power of 2 Reviewed International journal

    Toshio Sumi

    Journal of the Mathematical Society of Japan   64 ( 1 )   2012.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2969/jmsj/06410091

  • Connectivity for 3x3xK contingency tables Reviewed International journal

    Toshio Sumi and Toshio Sakata

    Journal of Algebraic Statistics   2 ( 1 )   2011.8

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    Language:English   Publishing type:Research paper (scientific journal)  

    Other Link: http://jalgstat.com/article/2/1/54-74_connectivity-3-x-3-x-k-contingency-tables

  • 2-neighborhood theorem for 3x3x3 contingency tables Reviewed International journal

    Toshio Sumi and Toshio Sakata

    Journal of the Indian Society for Probability and Statistics   12   2010.12

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    Language:English   Publishing type:Research paper (scientific journal)  

  • The Set of 3x4x4 Contingency Tables has 3-Neighborhood Property Reviewed International journal

    Toshio Sumi and Toshio Sakata

    Proceedings of COMPSTAT'2010, Electronic Supplementary Material (e-book) 19th International Conference on Computational Statistics, Paris France, August 22-27, 2010   2010.9

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • About the maximal rank of 3-tensors over the real and the complex number field Reviewed

    Toshio Sumi, Mitsuhiro Miyazaki, and Toshio Sakata

    Ann. Inst. Stat. Math.   62   2010.9

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s10463-010-0294-5

  • Rank of 3-tensors with 2 slices and Kronecker canonical forms Reviewed International journal

    Toshio Sumi, Mitsuhiro Miyazaki, and Toshio Sakata

    Linear Algebra and its Applications   2009.10

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    Language:English   Publishing type:Research paper (scientific journal)  

  • The Laitinen Conjecture for finite solvable Oliver groups Reviewed International journal

    Krzysztof Pawalowski and Toshio Sumi

    Proceedings of American Mathematical Society   2009.6

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Rank of tensors with size 2 x ... x 2 Reviewed International journal

    Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki

    Far East J. Math. Sci.   90 ( 2 )   141 - 162   2014.8

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Tests of inequivalence among absolutely nonsingular tensors through geometric invariants Reviewed International journal

    Toshio Sakata, Kazumitsu Maehara, Takeshi Sasaki, Toshio Sumi, Mitsuhiro Miyazaki, Yoshitaka Watanabe, and Makoto Tagami

    Universal Journal of Mathematics and Mathematical Sciences   1 ( 1 )   2012.2

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    Language:English   Publishing type:Research paper (scientific journal)  

    Other Link: http://www.pphmj.com/journals/ujmms.htm

  • Representation spaces fulfilling the gap hypothesis Reviewed International journal

    Toshio Sumi

    Proceedings of the International Conference Bratislava Topology Symposium "Group Actions and Homogeneous Spaces"   2010.10

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Tensor rank determination problem Invited Reviewed International journal

    Mitsuhiro Miyazaki, Toshio Sumi and Toshio Sakata

    Nonlinear Theory and its Applications   2009.10

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • The Evaluation of the Maximal Rank of Tensors Simply by Row and Column Operations and Symmetrization Invited Reviewed International journal

    Toshio Sakata, Toshio Sumi, Mitsuhiro Miyazaki

    Joint Meeting of 4th World Conference of the IASC and 6th Conference of the Asian Regional Section of the IASC on Computational Statistics & Data Analysis   2008.12

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Lifting Between the Sets of Three-Way Contingency Tables and R-Neighbourhood Property Reviewed International journal

    Toshio Sakata and Toshio Sumi

    International Conference on Computational Statistics   2008.8

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • A Sufficient Condition for the Unique Solution of Non-Negative Tensor Factorization Reviewed International journal

    T. Sumi and T. Sakata

    Independent Component Analysis and Signal Separation, 7th International Conference, ICA 2007, Lecture Notes in Computer Science   2007.9

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • GAP MODULES FOR SEMIDIRECT PRODUCT GROUPS Reviewed

    T. Sumi

    Kyushu Journal of Mathematics   2004.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    Repository Public URL: http://hdl.handle.net/2324/11702

  • Gap modules for direct product groups Reviewed

    T. Sumi

    Jour. Math. Soc. Japan   2001.10

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    Language:English   Publishing type:Research paper (scientific journal)  

  • Finite groups possessing gap modules Reviewed International journal

    Contemp. Math.   2000.1

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    Language:English   Publishing type:Research paper (international conference proceedings)  

  • Homology of the universal covering of a co-H-space Reviewed International journal

    N. Iwase, T. Sumi and S. Saito

    Trans. Amer. Math. Soc.   351 ( 12 )   4837 - 4846   1999.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/S0002-9947-99-02238-2

▼display all

Books

  • Algebraic and Computational Aspects of Real Tensor Ranks

    Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki( Role: Joint author)

    Springer  2016.3 

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    Responsible for pages:SpringerBriefs in Statistics   Language:English   Book type:Scholarly book

Presentations

  • On the dimensions of fixed point sets of representation spaces by subgroups

    2023.12 

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    Event date: 2023.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Finite group actions on spheres and the Smith problem Invited

    2022.11 

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    Event date: 2022.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Construction of gap modules Invited International conference

    Toshio Sumi

    The 41st Symposium on Transformation Groups  2014.11 

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    Event date: 2014.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    Gamagori civic hall

  • Note on tangential representations on a sphere International conference

    Toshio Sumi

    Joint Meeting of the German Mathematical Society and the Polish Mathematical Society  2014.9 

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    Event date: 2014.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Poland  

  • The Smith equivalence problem and Smith sets of Oliver groups Invited

    2012.9 

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    Event date: 2012.9 - 2011.9

    Presentation type:Oral presentation (invited, special)  

    Country:Japan  

    The Smith equivalence problem and Smith sets of Oliver groups

  • The Smith equivalence problems for finite Oliver groups International conference

    Toshio Sumi

    Geometry of manifolds and group actions  2012.9 

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    Event date: 2012.9 - 2011.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Poland  

    The Smith equivalence problems for finite Oliver groups

    Other Link: http://www.mif.pg.gda.pl/kan/index.php/en/geometry-of-manifolds-and-group-actions

  • Nonsolvable groups of which the Smith sets are groups

    2011.11 

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    Event date: 2011.11

    Presentation type:Oral presentation (general)  

    Country:Japan  

    Nonsolvable groups of which the Smith sets are groups

  • Existence and construction of absolutely nonsingular tensors

    2011.6 

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    Event date: 2011.6

    Presentation type:Oral presentation (general)  

    Country:Japan  

    Existence and construction of absolutely nonsingular tensors

  • Nonisomorphic Smith equivalent modules over solvable groups

    Toshio Sumi

    2021.5 

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    Event date: 2022.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Oliver groups satisfying Laitinen's conjecture

    Toshio Sumi

    2022.3 

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    Event date: 2022.3

    Language:Japanese   Presentation type:Symposium, workshop panel (public)  

    Country:Japan  

  • Progress toward the Laitinen Conjecture Invited International conference

    Toshio Sumi

    Transformation Group Theory -The path we have walked along, and the way to progress-  2021.2 

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    Event date: 2021.2

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    Other Link: https://www.rs.tus.ac.jp/math2/math2/tsatoh/tsatoh-homepage/kpa70+_2_2021.html

  • Smith Problem and Laitinen's Conjecture Invited International conference

    Toshio Sumi

    2021.1 

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    Event date: 2021.1

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    Other Link: https://kpa70.wmi.amu.edu.pl/

  • Laitinen’s conjecture and the weak gap condition

    森本雅治先生退職記念研究集会  2020.2 

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    Event date: 2020.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:大阪大学大学院理学研究科   Country:Japan  

  • Group actions and representations Invited

    Toshio Sumi

    2019.10 

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    Event date: 2019.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

    Let G be a finite group. A group G acts smoothly on a smooth manifold M with fixed point x.
    By the derivative, the tangent space Tx(M) at x regards as a representation G-space. Wasserman studied whether an isovariant G-map f : V → W between representation G-spaces V and W has
    dim V − dim VG ≤ dim W − dim WG.
    We say G is a Borsuk-Ulam group if the above question is always true. We will discuss Borsuk-Ulam groups from the viewpoint of computer-aided experiments.

  • Alternating groups and Borsuk-Ulam groups

    Toshio Sumi

    2019.5 

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    Event date: 2019.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2135-19.pdf

  • SL(3, F_q) is a BUG or ...

    Toshio Sumi

    Workshop on Geometric Discrete Mathematics II  2018.12 

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    Event date: 2018.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Sufficient condition to be a Borsuk-Ulam group International conference

    UMI – SIMAI – PTM  2018.9 

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    Event date: 2018.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Wroclow   Country:Poland  

  • A sufficient condition for a finite group to be a Borsuk-Ulam group

    Toshio Sumi

    2018.5 

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    Event date: 2018.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On the typical nonnegative ranks of tensors

    Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata

    2016.12 

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    Event date: 2016.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Monomial preorder, ideals of minors, and plural typical ranks International conference

    Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata

    Innovation in statistics and related mathematics through computational algebraic statistics  2015.3 

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    Event date: 2015.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Nonsingular bilinear maps and plural typical ranks

    Toshio Sumi

    2014.3 

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    Event date: 2014.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Rank of tensors with size 2 x ... x 2 International conference

    Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki

    Computational Algebraic Statistics, Theories and Applications (CASTA 2014)  2014.1 

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    Event date: 2014.1

    Language:English  

    Country:Japan  

  • Nonsolvable groups possessing gap modules International conference

    Toshio Sumi

    Knots, Manifolds, and Group Actions  2013.9 

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    Event date: 2013.9

    Language:English   Presentation type:Oral presentation (general)  

    Country:Poland  

  • Tangential representations on a sphere

    Toshio Sumi

    2013.5 

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    Event date: 2013.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Rank of high dimensional arrays

    2013.3 

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    Event date: 2013.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  • テンソルのランクについて

    角 俊雄、宮崎 充弘、坂田 年男

    計算代数と数理統計学の新たな展開  2012.1 

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    Event date: 2012.1

    Presentation type:Oral presentation (general)  

    Venue:つくば国際会議場 エポカルつくば 303号室   Country:Japan  

  • 表現空間の固定点集合の次元とスミス問題

    角 俊雄

    変換群論シンポジウム  2010.11 

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    Event date: 2011.11 - 2010.11

    Presentation type:Oral presentation (general)  

    Venue:九州大学西新プラザ   Country:Japan  

  • 絶対正則テンソルについて — 特徴づけ、性質、構成法—

    角 俊雄、宮崎 充弘、坂田 年男

    計算代数と数理統計学の新たな展開  2010.11 

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    Event date: 2010.11

    Presentation type:Oral presentation (general)  

    Venue:パレスホテル大宮   Country:Japan  

  • Smith set for a simple group International conference

    Group Actions in Topology and Analysis, 4th GAF Conference  2010.9 

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    Event date: 2010.9

    Presentation type:Oral presentation (general)  

    Country:Italy  

  • Smith set for a finite perfect group

    2010.8 

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    Event date: 2010.9

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • The Set of 3x4x4 Contingency Tables has 3-Neighborhood Property International conference

    Toshio Sumi and Toshio Sakata

    19th International Conference on Computational Statistics, Paris France, August 22-27, 2010  2010.8 

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    Event date: 2010.8

    Presentation type:Oral presentation (general)  

    Country:France  

  • Restricted action to cyclic groups on modules

    2011.6 

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    Event date: 2010.6

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • Rich answers for the Smith Problem Invited

    Toshio Sumi

    2010.2 

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    Event date: 2010.2

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • On dimensions of vector spaces of consisting of nonsingular n×n matrices except zero

    角 俊雄

    北田先生を囲む研究集会  2011.2 

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    Event date: 2010.2

    Presentation type:Oral presentation (general)  

    Venue:京都市大学のまち交流センター   Country:Japan  

  • Lifting between the sets of 3 x 3 x K (K=4,5) contingency tables and 3-neighbourhood property International conference

    Toshio Sumi and Toshio Sakata

    An International Conference on Statistics, Probability, Operations Research, Computer Science and Allied Areas in conjuction with VIII International Indian Statistical Association Joint Statistical Meeting and 29th Annual Convention of Indian Society for  2010.1 

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    Event date: 2010.1

    Presentation type:Oral presentation (general)  

    Country:India  

  • Smith equivalent modules and the weak gap condition International conference

    Toshio Sumi

    2009.9 

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    Event date: 2009.9

    Presentation type:Oral presentation (general)  

    Country:Slovakia  

  • Smith problem for non-gap Oliver groups

    2009.8 

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    Event date: 2009.8

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • Tensor rank determination problem:from linear algebra and quiver representation

    JST CREST 研究集会「現代の産業社会とグレブナー基底の調和」  2009.2 

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    Event date: 2009.2

    Presentation type:Oral presentation (general)  

    Venue:鹿児島大学理学部   Country:Japan  

  • About the maximal rank of 3-tensors over the real and the complex number field International conference

    Toshio Sumi, Mitsuhiro Miyazaki and Toshio Sakata

    Computational Algebraic Statistics, Theories and Applications  2008.12 

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    Event date: 2008.12

    Presentation type:Oral presentation (general)  

    Country:Japan  

    Other Link: http://poseidon.stat.t.u-tokyo.ac.jp/casta/

  • Smith problem for a finite Oliver group with non-trivial center

    2008.5 

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    Event date: 2008.5

    Presentation type:Oral presentation (general)  

    Country:Japan  

  • Elements outside of O^2(G) for a nongap group G

    2004.5 

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    Presentation type:Oral presentation (general)  

    Country:Japan  

  • ギャップ表現と2型のドレス部分群

    角 俊雄

    日本数学会  2005.3 

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    Presentation type:Oral presentation (general)  

    Venue:日本大学理工学部   Country:Japan  

  • On Laitinen conjecture

    2005.6 

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    Presentation type:Oral presentation (general)  

    Country:Japan  

  • Recent progress in answering the Smith isomorphism question

    Krzysztof Pawalowski, Toshio Sumi

    The 32th Symposium on Transformation Groups  2005.11 

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    Presentation type:Oral presentation (general)  

    Country:Japan  

  • Smith 問題について

    角 俊雄

    RIMS研究集会「変換群論の手法」  2006.6 

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    Presentation type:Oral presentation (general)  

    Venue:京都大学数理解析研究所   Country:Japan  

  • Finite groups with Smith equivalent, nonisomorphic representations

    The 33th Symposium on Transformation Groups  2006.11 

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    Presentation type:Oral presentation (general)  

    Country:Japan  

  • 視覚刺激に対する脳波による valence-arousal 平面における感性識別について

    坂田 年男、綿貫 茂樹、深田 悟、佐木 邦夫、角 俊雄、Keon-Kyu Kim

    日本感性工学会  2007.3 

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    Presentation type:Oral presentation (general)  

    Venue:筑波大学   Country:Japan  

  • Orientability of the Weak Gap Condition

    2007.6 

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    Presentation type:Oral presentation (general)  

    Country:Japan  

  • NTF algorithms with randam search preprocess and its cross entropy extension International conference

    Toshio Sakata and Toshio Sumi

    The 2007 International Association for Sattistical Computing - Asian Regional Section Special Conference  2007.6 

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    Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  • A method of calculating the maximal rank of a set of tensors International conference

    Toshio Sakata, Toshio Sumi and Ryuichi Sawae

    The 2007 International Association for Sattistical Computing - Asian Regional Section Special Conference  2007.6 

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    Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  • Finite Oliver group G with Smith equivalent, non-isomorphic G-modules International conference

    Toshio Sumi

    Joint Meeting between AMS and PTM  2007.8 

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    Presentation type:Symposium, workshop panel (public)  

    Country:Poland  

  • A sufficient condition for the unique solution of non-negative tensor factorization International conference

    Toshio Sumi and Toshio Sakata

    International Conference on Independent Component Analysis and Signal Separation  2007.9 

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    Presentation type:Symposium, workshop panel (public)  

    Country:United Kingdom  

  • 非ギャップ群におけるスミス問題

    K. Pawalowski, 角 俊雄

    2007.9 

     More details

    Presentation type:Oral presentation (general)  

    Venue:東北大学   Country:Japan  

▼display all

MISC

  • Alternating groups and Borsuk-Ulam groups

    Toshio Sumi

    2019.11

     More details

    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2135-19.pdf

  • Finite groups with Smith equivalent, nonisomorphic representations

    2006.11

     More details

    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

  • Nonisomorphic Smith equivalent modules over solvable groups

    Toshio Sumi

    2021.9

     More details

    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2199-12.pdf

  • A sufficient condition for a finite group to be a Borsuk-Ulam group

    Toshio Sumi

    2018.12

     More details

    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    Other Link: http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/2098-21.pdf

  • Tangential representations on a sphere

    Toshio Sumi

    2014.3

     More details

    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    RIMS Kokyuroku 1876
    Topology of transformation groups and its related topics

  • Existence and construction of absolutely nonsingular tensors

    2011.10

     More details

    Language:Japanese   Publishing type:Internal/External technical report, pre-print, etc.  

  • Smith set for a simple group

    2011.3

     More details

    Language:Japanese   Publishing type:Internal/External technical report, pre-print, etc.  

    RIMS Kokyuroku 1732
    Transformation Groups and Surgery Theory

  • Smith set for a nongap Oliver group

    2009.12

     More details

    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    RIMS Kokyuroku 1670
    Transformation groups from a new viewpoint

  • Smith problem for a finite Oliver group with non-trivial center

    2008.9

     More details

    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    RIMS Kokyuroku 1612
    Geometry of Transformation Groups and Related Topics

  • Finite groups possessing Smith equivalent, nonisomorphic representations

    2007.9

     More details

    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    RIMS Kokyuroku 1569
    The theory of transformation groups and its applications

  • 視覚刺激に対する脳波による valence-arousal 平面における感性識別について

    坂田年男、綿貫茂樹、深田悟、佐木邦夫、角 俊雄、Keon-Kyu Kim

    日本感性工学会   2007.3

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    Language:Japanese  

  • ギャップ条件を満たさない有限群について

    角 俊雄

    数理解析研究所講究録 京都大学数理解析研究所   2005.9

     More details

    Language:Japanese   Publishing type:Internal/External technical report, pre-print, etc.  

  • 2-elements outside of the Dress subgroup of type 2

    2004.9

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    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

  • ギャップ表現をもつ有限群について

    角 俊雄

    数理解析研究所講究録 京都大学数理解析研究所   2003.10

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    Language:Japanese   Publishing type:Internal/External technical report, pre-print, etc.  

  • NONSOLVABLE GENERAL LINEAR GROUPS ARE GAP GROUPS

    T. Sumi

    2002.10

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    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

▼display all

Works

  • KNOT

    2000.2

Professional Memberships

  • 日本数学会

Academic Activities

  • Screening of academic papers

    Role(s): Peer review

    2023

     More details

    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:1

  • Screening of academic papers

    Role(s): Peer review

    2021

     More details

    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:1

  • Screening of academic papers

    Role(s): Peer review

    2020

     More details

    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:2

  • 座長

    トポロジーシンポジウム  ( 秋田市・にぎわい交流館 AU(あう)・3 F 多目的ホール ) 2019.8

     More details

    Type:Competition, symposium, etc. 

    Number of participants:60

  • 座長(Chairmanship)

    RIMS共同研究(公開型)「変換群論とその応用」  ( 京都大学数理解析研究所111号室 ) 2019.5

     More details

    Type:Competition, symposium, etc. 

    Number of participants:20

  • Screening of academic papers

    Role(s): Peer review

    2019

     More details

    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • 世話人

    ( 宇城市 三角センター(公民館) 第二会議室 ) 2018.12

     More details

    Type:Competition, symposium, etc. 

    Number of participants:6

  • Screening of academic papers

    Role(s): Peer review

    2018

     More details

    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:2

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • 座長(Chairmanship)

    RIMS共同研究(公開型)「変換群を核とする代数的位相幾何学」  ( 京都大学数理解析研究所111号室 ) 2017.5

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    Type:Competition, symposium, etc. 

  • 特別研究員等審査会専門委員及び国際事業委員会書面審査員・書面評価員

    Role(s): Review, evaluation

    独立行政法人日本学術振興会  2016.8 - 2018.7

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    Type:Scientific advice/Review 

  • 司会(Moderator)

    日本数学会  ( 九州大学 ) 2013.9

     More details

    Type:Competition, symposium, etc. 

  • 座長(Chairmanship)

    RIMS研究集会「変換群のトポロジーとその周辺」  ( 京都大学数理解析研究所420号室 ) 2013.5

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    Type:Competition, symposium, etc. 

  • 世話人

    シンポジューム Structures and Symmetries on Manifolds  ( 沖縄県青年会館 ) 2013.3

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    Type:Competition, symposium, etc. 

    Number of participants:13

  • 司会(Moderator)

    変換群の幾何の展開  ( 京都大学数理解析研究所 ) 2012.5 - 2012.6

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    Type:Competition, symposium, etc. 

  • 世話人、座長

    RIMS研究集会「変換群の幾何の展開」  ( 京都大学数理解析研究所 ) 2012.5 - 2012.6

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    Type:Competition, symposium, etc. 

    Number of participants:38

  • 座長(Chairmanship)

    変換群論シンポジューム  ( 兵庫県民会館 ) 2011.11

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    Type:Competition, symposium, etc. 

  • 座長(Chairmanship)

    変換群論シンポジューム  ( 九州大学西新パレス ) 2010.11

     More details

    Type:Competition, symposium, etc. 

  • 世話人、座長

    変換群論シンポジューム  ( 九州大学西新パレス ) 2010.11

     More details

    Type:Competition, symposium, etc. 

    Number of participants:27

  • 座長(Chairmanship)

    変換群論シンポジューム  ( 大阪市立大学 ) 2009.12

     More details

    Type:Competition, symposium, etc. 

  • 世話人、座長

    変換群論シンポジューム  ( 大阪市立大学 ) 2009.12

     More details

    Type:Competition, symposium, etc. 

    Number of participants:60

  • 座長(Chairmanship)

    変換群論シンポジューム  ( 岡山県立図書館 ) 2008.11

     More details

    Type:Competition, symposium, etc. 

  • 司会(Moderator)

    変換群論の手法  ( 京都大学数理解析研究所 ) 2006.5

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    Type:Competition, symposium, etc. 

▼display all

Research Projects

  • 多様体上の有限群作用で得られる固定点集合の近傍の様相

    Grant number:23K03116  2023 - 2025

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 多重線形写像の実射影空間への像とテンソル階数への応用

    Grant number:16K05151  2016 - 2018

    日本学術振興会  科学研究費助成事業  基盤研究(C)

      More details

    Authorship:Principal investigator  Grant type:Scientific research funding

  • 多様体上の有限群作用の軟性について

    Grant number:24540083  2012 - 2015

    日本学術振興会  科学研究費助成事業  基盤研究(C)

      More details

    Authorship:Principal investigator  Grant type:Scientific research funding

  • 多様体における有限群作用の固定点上の接空間となる表現に関する研究

    Grant number:17540084  2005 - 2007

    日本学術振興会  科学研究費助成事業  基盤研究(C)

      More details

    Authorship:Principal investigator  Grant type:Scientific research funding

  • 有限群の表現と不動点集合を実現する有限群作用に関する研究

    Grant number:14540084  2002 - 2004

    日本学術振興会  科学研究費助成事業  基盤研究(C)

      More details

    Authorship:Principal investigator  Grant type:Scientific research funding

Educational Activities

  • My Education activities includes KIKAN education and Calulus/Linear Algebra for first year undergraduated students.

Class subject

  • 入門微分積分Ⅱ

    2024.12 - 2025.2   Winter quarter

  • 入門微分積分Ⅰ

    2024.10 - 2024.12   Fall quarter

  • 基幹教育セミナー

    2024.6 - 2024.8   Summer quarter

  • 基幹教育セミナー

    2024.6 - 2024.8   Summer quarter

  • 課題協学科目

    2023.10 - 2024.3   Second semester

  • 社会と数理科学

    2023.10 - 2023.12   Fall quarter

  • 基幹教育セミナー

    2023.6 - 2023.8   Summer quarter

  • 基幹教育セミナー

    2022.6 - 2022.8   Summer quarter

  • 社会と数理科学

    2021.10 - 2021.12   Fall quarter

  • 基幹教育セミナー

    2021.6 - 2021.8   Summer quarter

  • 微分積分学・同演習Ⅲ

    2021.4 - 2021.9   First semester

  • 課題協学科目

    2020.10 - 2021.3   Second semester

  • 社会と数理科学

    2020.10 - 2020.12   Fall quarter

  • 社会と数理科学

    2020.10 - 2020.12   Fall quarter

  • 基幹教育セミナー

    2020.6 - 2020.8   Summer quarter

  • 微分積分学

    2019.10 - 2020.3   Second semester

  • 微分積分学

    2019.10 - 2020.3   Second semester

  • 課題協学科目

    2019.10 - 2020.3   Second semester

  • 社会と数理科学

    2019.10 - 2019.12   Fall quarter

  • 基幹教育セミナー

    2019.6 - 2019.8   Summer quarter

  • 体験してわかる自然科学

    2018.12 - 2019.2   Winter quarter

  • 課題協学科目

    2018.10 - 2019.3   Second semester

  • 微分積分学

    2018.10 - 2019.3   Second semester

  • 社会と数理科学

    2018.10 - 2018.12   Fall quarter

  • 基幹教育セミナー

    2018.6 - 2018.8   Summer quarter

  • 社会と数理科学

    2018.6 - 2018.8   Summer quarter

  • 課題協学科目

    2017.10 - 2018.3   Second semester

  • 微分積分学

    2017.10 - 2018.3   Second semester

  • 体験してわかる自然科学

    2017.10 - 2017.12   Fall quarter

  • 社会と数理科学

    2017.10 - 2017.12   Fall quarter

  • 基幹教育セミナー

    2017.6 - 2017.8   Summer quarter

  • 社会と数理科学

    2017.6 - 2017.8   Summer quarter

  • 課題協学B

    2016.10 - 2017.3   Second semester

  • 微分積分・同演習II

    2016.10 - 2017.3   Second semester

  • 位相幾何学大意

    2016.4 - 2016.9   First semester

  • 基幹教育セミナー

    2016.4 - 2016.9   First semester

  • 基幹教育セミナー

    2016.4 - 2016.9   First semester

  • 微分積分・同演習I

    2016.4 - 2016.9   First semester

  • 微分積分学

    2015.10 - 2016.3   Second semester

  • 課題協学B

    2015.10 - 2016.3   Second semester

  • プログラム・ゼミ I,III

    2015.4 - 2015.9   First semester

  • 基幹教育セミナー

    2015.4 - 2015.9   First semester

  • 基幹教育セミナー

    2015.4 - 2015.9   First semester

  • 線形代数

    2014.10 - 2015.3   Second semester

  • 課題協学B

    2014.10 - 2015.3   Second semester

  • 課題協学B

    2014.4 - 2014.9   First semester

  • プログラム・ゼミ I,III

    2014.4 - 2014.9   First semester

  • 基幹教育セミナー

    2014.4 - 2014.9   First semester

  • 基幹教育セミナー

    2014.4 - 2014.9   First semester

  • 位相幾何学Ⅰ

    2013.4 - 2013.9   First semester

  • 線形代数・同演習A

    2013.4 - 2013.9   First semester

  • プログラム・ゼミ I

    2013.4 - 2013.9   First semester

  • プログラム・ゼミ III

    2013.4 - 2013.9   First semester

  • 線形代数・同演習B

    2012.10 - 2013.3   Second semester

  • 線形代数・同演習A

    2012.4 - 2012.9   First semester

  • 情報科学演習

    2012.4 - 2012.9   First semester

  • 計算機科学概論

    2012.4 - 2012.9   First semester

  • 線形代数・同演習B

    2011.10 - 2012.3   Second semester

  • コアセミナー

    2011.4 - 2011.9   First semester

  • 線形代数・同演習A

    2011.4 - 2011.9   First semester

  • 情報科学演習

    2011.4 - 2011.9   First semester

  • 計算機科学概論

    2011.4 - 2011.9   First semester

  • 生体情報数理学特論

    2011.4 - 2011.9   First semester

  • 応用情報数理特論

    2011.4 - 2011.9   First semester

  • 芸術情報プロジェクト演習

    2011.4 - 2011.9   First semester

  • 芸術情報総合演習

    2010.10 - 2011.3   Second semester

  • 線形代数・同演習B

    2010.10 - 2011.3   Second semester

  • 芸術情報プロジェクト演習

    2010.4 - 2010.9   First semester

  • 応用情報数理特論

    2010.4 - 2010.9   First semester

  • 生体情報数理学特論

    2010.4 - 2010.9   First semester

  • 計算機科学概論

    2010.4 - 2010.9   First semester

  • 情報科学演習

    2010.4 - 2010.9   First semester

  • 線形代数・同演習A

    2010.4 - 2010.9   First semester

  • コアセミナー

    2010.4 - 2010.9   First semester

  • 線形代数・同演習B

    2009.10 - 2010.3   Second semester

  • 芸術情報プロジェクト演習

    2009.4 - 2009.9   First semester

  • 生体情報数理学特論

    2009.4 - 2009.9   First semester

  • 応用情報数理特論

    2009.4 - 2009.9   First semester

  • 計算機科学概論

    2009.4 - 2009.9   First semester

  • 情報科学演習

    2009.4 - 2009.9   First semester

  • 線形代数・同演習A

    2009.4 - 2009.9   First semester

  • コアセミナー

    2009.4 - 2009.9   First semester

  • 芸術情報総合演習

    2009.4 - 2009.9   First semester

  • 線形代数・同演習B

    2008.10 - 2009.3   Second semester

  • 情報科学演習

    2008.4 - 2008.9   First semester

  • 線形代数・同演習A

    2008.4 - 2008.9   First semester

  • 生体情報数理学特論

    2008.4 - 2008.9   First semester

  • 応用情報数理特論

    2008.4 - 2008.9   First semester

  • 計算機科学概論

    2008.4 - 2008.9   First semester

  • 情報数理特論

    2007.4 - 2007.9   First semester

  • 離散構造論 I

    2006.4 - 2006.9   First semester

  • 離散構造論 II

    2005.10 - 2006.3   Second semester

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FD Participation

  • 2024.3   Role:Participation   Title:令和5年度 基幹教育院春季 FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2023.3   Role:Participation   Title:令和4年度 基幹教育院春季 FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2022.9   Role:Participation   Title:令和4年度 基幹教育院夏季 FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2022.3   Role:Participation   Title:令和4年度基幹教育ガイダンスの事前研修会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2021.9   Role:Participation   Title:令和3年度 基幹教育院夏季 FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2021.3   Role:Participation   Title:数理学府FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2021.3   Role:Speech   Title:令和2年度 基幹教育院春季FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2019.3   Role:Speech   Title:基幹教育院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2018.3   Role:Speech   Title:基幹教育院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2017.9   Role:Participation   Title:基幹教育院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2017.2   Role:Participation   Title:基幹教育院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2016.3   Role:Participation   Title:基幹教育院FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2016.3   Role:Participation   Title:アナフィラキシーによる死亡事故を防ぐために

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2016.2   Role:Participation   Title:H28年度課題協学科目:FD

    Organizer:University-wide

  • 2014.12   Role:Participation   Title:第35回教育改革研究会

    Organizer:University-wide

  • 2014.11   Role:Participation   Title:メンタルヘルス研修会

    Organizer:University-wide

  • 2013.8   Role:Participation   Title:平成25年度九州大学基幹教育院夏季FD

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2013.6   Role:Participation   Title:平成25年度第2回全学FD 「教育の質向上支援プログラム成果発表会(教育・学習の更なる「しかけ」)」

    Organizer:University-wide

  • 2013.2   Role:Participation   Title:メンタルヘルス研修会

    Organizer:University-wide

  • 2010.10   Role:Participation   Title:FD研究会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2009.11   Role:Participation   Title:第14回FD研究会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2007.12   Role:Participation   Title:第12回FD研究会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2006.9   Role:Participation   Title:第11回FD研究会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2005.12   Role:Participation   Title:第3回全学FD

    Organizer:University-wide

  • 2005.11   Role:Participation   Title:第10回FD研究会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2004.6   Role:Participation   Title:第8回FD研究会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2003.9   Role:Participation   Title:第6回FD研究会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

  • 2003.1   Role:Participation   Title:第4回FD研究会

    Organizer:[Undergraduate school/graduate school/graduate faculty]

▼display all

Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2011  岡山大学・環境理工学部  Classification:Part-time lecturer  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:後期(集中講義)

  • 2003  福岡大学  Classification:Part-time lecturer  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:前期・後期(金曜2,3)

Other educational activity and Special note

  • 2024  Class Teacher 

  • 2023  Class Teacher 

  • 2022  Class Teacher 

  • 2021  Class Teacher 

  • 2020  Class Teacher 

  • 2019  Class Teacher 

  • 2018  Class Teacher 

  • 2017  Class Teacher 

  • 2016  Class Teacher 

  • 2015  Class Teacher 

  • 2014  Class Teacher 

  • 2011  Class Teacher 

  • 2010  Class Teacher 

  • 2009  Class Teacher 

▼display all

Travel Abroad

  • 2014.9

    Staying countory name 1:Poland   Staying institution name 1:Adam Mickiewicz University

  • 2013.9

    Staying countory name 1:Poland   Staying institution name 1:Collegium Polonicum of the Adam Mickiewicz University

  • 2012.9

    Staying countory name 1:Poland   Staying institution name 1:Gdansk University of Technology

    Staying countory name 2:Poland   Staying institution name 2:Adam Mickiewicz University

  • 2010.9

    Staying countory name 1:Italy   Staying institution name 1:University of Milano-Bicocca

  • 2010.8

    Staying countory name 1:France   Staying institution name 1:Conservatoire National des Arts et des Métiers

  • 2009.12 - 2010.1

    Staying countory name 1:India   Staying institution name 1:Andhra University

  • 2009.9

    Staying countory name 1:Slovakia   Staying institution name 1:Comenius University

  • 2008.8 - 2008.9

    Staying countory name 1:Portugal   Staying institution name 1:Universidade do Porto

  • 2008.6 - 2008.7

    Staying countory name 1:Czech Republic   Staying institution name 1:the Congress Center of Holiday inn Hotel

    Staying institution name 2:ブルノ工科大学

  • 2007.9

    Staying countory name 1:United Kingdom   Staying institution name 1:Queen Mary, Mile End Campus

  • 2007.7 - 2007.8

    Staying countory name 1:Poland   Staying institution name 1:Warszawa University

  • 2007.6

    Staying countory name 1:Korea, Republic of   Staying institution name 1:Press Center, Seoul

  • 2006.9

    Staying countory name 1:Spain   Staying institution name 1:Malaga University

  • 2005.6 - 2005.7

    Staying countory name 1:Poland   Staying institution name 1:Jagiellonian University, Congress Centre

  • 2004.6

    Staying countory name 1:Poland   Staying institution name 1:Jagiellonian University

    Staying countory name 2:Poland   Staying institution name 2:Adam Mickiewicz University

  • 2003.8

    Staying countory name 1:Finland   Staying institution name 1:Helsinki University

    Staying countory name 2:Poland   Staying institution name 2:Adam Mickiewicz University

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