About me

I am a PhD student, Functional Control Systems, at Shibaura Institute of Technology since April 2023. (正課外活動状況)

• Supervisor: Associate Professor Kenichi Shimizu

• Thesis: TBA

• References:

  • V. Turaev , A. Virelizier, Monoidal Categories and Topological Field Theory, Vol. 322, Springer International Publishing, Cham, 2017.

  • P. Etingof, S. Gelaki, D. Nikshych, V. Ostrik, Tensor Categories, Vol. 205, American Mathematical Society, 2015.

  • C. Kassel, Quantum Groups, Vol. 155, Springer Science & Business Media, 2012.

  • A. Skowroński, K. Yamagata, Frobenius Algebras I: Basic Representation Theory, Vol. 5, European Mathematical Society, 2011.

  • 神保 道夫. 量子群とヤン・バクスター方程式. 2012, 丸善出版.

  • K. Shimizu. Frobenius-Schur indicator for categories with duality. arXiv:1208.2433

  • K. Shimizu. Frobenius-Schur theorem for 𝒞*-categories. arXiv:1208.2435

  • K. Shimizu. The pivotal cover and Frobenius-Schur indicators. arXiv:1309.4539

  • K. Shimizu, M. Wakui. Schrödinger representations from the viewpoint of monoidal categories. arXiv:1312.5037

  • K. Shimizu. On unimodular finite tensor categories. arXiv:1402.3482

  • K. Shimizu. The relative modular object and Frobenius extensions of finite Hopf algebras. arXiv:1412.0211 

  • K. Shimizu. The monoidal center and the character algebra. arXiv:1504.01178

  • K. Shimizu. Non-degeneracy conditions for braided finite tensor categories. Advances in Mathematics, Vol. 355 (2019), Article 106778. [arXiv:1602.06534]

  • K. Shimizu. Pivotal structures of the Drinfeld center of a finite tensor category. Journal of Pure and Applied Algebra, Vol. 227 (2023), Issue 7, Article 107321. [arXiv:1608.05905] 

  • K. Shimizu. Integrals for finite tensor categories. Algebras and Representation Theory, Vol. 22 (2019), 459--493. [arXiv:1702.02425]

  • D. K. Matsumoto, K. Shimizu. Quiver-theoretical approach to dynamical Yang-Baxter maps. Journal of Algebra, Vol. 507 (2018), 47--80. [arXiv:1703.10412]

  • Kenichi Shimizu. Ribbon structures of the Drinfeld center of a finite tensor category. Kodai Math. J. Vol. 46 (2023), Issue 1, 75--114. [arXiv:1707.09691]

  • K. Shimizu. Further results on the structure of (co)ends in finite tensor categories. Applied Categorical Structures, Vol. 28 (2020), 237--286. [arXiv:1801.02493]

  • K. Shimizu. Relative Serre functor for comodule algebras, Journal of Algebra 634 (2023), 237--305. [arXiv:1904.00376]

  • K. Shimizu. Tannaka theory and the FRT construction over non-commutative algebras. arXiv:1912.13160

  • T. Shibata, K. Shimizu. Modified traces and the Nakayama functor, Algebras and Representation Theory 26 (2023), 513--551. [arXiv:2103.13702]

  • T. Shibata, K. Shimizu. Nakayama functors for coalgebras and their applications to Frobenius tensor categories. arXiv:2110.08739

  • K. Shimizu. Nakayama functor for monads on finite abelian categories. arXiv:2208.08203

  • T. Shibata, K. Shimizu. Exact sequences of Frobenius tensor categories. arXiv:2303.14687

  • T. Shibata, K. Shimizu. Nakayama functors for coalgebras and their applications for Frobenius tensor categories. Advances in Mathematics, Vol. 419 (2023), Article 108960. [arXiv:2303.14687]

  • K. Shimizu. Nakayama functor for coalgebras and a categorical perspective of the integral theory for Hopf algebras. arXiv:2306.08508

  • T. Shibata, K. Shimizu, R. Wakao. Pointed Hopf superalgebras of dimension up to 10. arXiv:2306.12637

  • K. Shimizu. Quasi-Frobenius algebras in finite tensor categories. arXiv:2402.02929

  • K. Shimizu, H. Yadav. Commutative exact algebras and modular tensor categories. arXiv:2408.06314

  • K. Shimizu, R. Sugitani. Coideal subalgebras of quantum SL2 at roots of unity. J. Pure Appl. Algebra, Vol. 229 (2025), no. 5, Paper No. 107923. [arXiv:2410.10064]

  • D. Nakamura, T. Shibata, K. Shimizu. Exact module categories over Rep(𝑢_𝑞(𝔰𝔩₂)). arXiv:2503.21265

  • T. Shibata, K. Shimizu. Equivariant Eilenberg-Watts theorem for module coalgebras. arXiv:2510.07969

  • K. Shimizu, H. Yadav. Ribbon categories from ind-exact algebras: simple current case. arXiv:2603.28215

Master of Science in Systems Engineering and Science, Shibaura Institute of Technology (Timetable)

• Supervisor: Associate Professor Hironori Oya → Associate Professor Kenichi Shimizu

• Thesis: Determinoids and their left multiplicativity (Some notes) 【Calculator】

• References:

  • C.E. Cullis. Matrices and Determinoids, Vol. I. pp. xii + 430, 21s., 1913; Vol. II. pp. xxiv + 555, 42s., 1918; Vol. III. Part I. pp. xviii + 681, 63s., 1925. Cambridge University Press, Cambridge.

  • M. Radić. A definition of the determinant of a rectangular matrix, Glasnik Matematicki. Vol. 1 (1966), No.1, 17--22.

  • M. Radić. About a Determinant of Rectangular 2×n Matrix and its Geometric Interpretation, Beiträge zur Algebra und Geometrie. Vol. 46 (2005), No.1, 321--349.

  • M. Radić, R. Sušanj. On Determinants of Rectangular Matrices which have Laplace’s Expansion along rows, Glasnik Matematički. Vol. 47(2012), No.1, 175--180.

  • H. Yanai, Y. Takane, H. Ishii. Nonnegative determinant of a rectangular matrix: Its definition and applications to multivariate analysis, Linear Algebra and its Applications. Vol. 417 (2006), No.1, 259--274.

  • 中神 祥臣, 柳井 晴夫. 矩形行列の行列式, 2012, 丸善出版.

  • A. Amiri, M. Fathy, M. Bayat. Generalization of some determinantal identities for non-square matrices based on Radic's definition. TWMS J. Pure Appl. Math. 1 (2010), 163--175.

  • 张 岩. 长方阵的行列式及其在图论中的应用, 2015, 哈尔滨工业大学.

  • 田川 裕之. リーフポセットに関連した表現論的組合せ論とその周辺, 2015, [Acccessed: 20 May 2022]

  • 田川 裕之. 行列と超幾何級数に関連した代数的組合せ論とその周辺, 2020, [Acccessed: 20 May 2022]

  • R. Carter. Lie Algebras of Finite and Affine Type, Cambridge University Press, 2005.

  • J.E. Humphreys. Introduction to Lie Algebras and Representation Theory, Springer, 1972.

  • 池田 岳. テンソル代数と表現論, 2022, 東京大学出版会.

Bachelor of Mathematical Sciences @Shibaura Institute of Technology

• From April 2017 to March 2021

• Supervisor: Assistant Professor Hironori Oya

• Thesis: Quiver Representation, Krull-Schmidt theorem, and Gabriel’s Theorem

• Reference books:

  • 草場 公邦. 行列特論, 基礎数学選書21, 1979, 裳華房.

  • R. Schiffler. Quiver representations, CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. Springer, Cham, 2014.

  • I. Assem, A, Skowronski, D. Simson. Elements of the representation theory of associative algebras. Vol. 1. Techniques of representation theory. London Mathematical Society Student Texts, 65. Cambridge University Press, Cambridge, 2006.

• 広報「芝浦」2021年5月 春号 ＠卒業生の声
  
  

Hong Kong Diploma of Secondary Education Examination @St. Joseph's Anglo-Chinese School
From September 2010 to August 2016

• Other Learning Experience

  • Career Club: Chairman (2013 ~ 2015)

  • Prefect Board: Committee (2013 ~ 2015)

  • Liberal Study Club: Member (2014 ~ 2015)

  • Integrated Science Club: Member (2013 ~ 2014)
    
    

Primary School Education @St. Joseph's Anglo-Chinese Primary School
From September 2006 to August 2010

2024 LF Winter Symposium, Shibaura Institute of Technology, 26th February 2025

2024 LF Summer Symposium, Shibaura Institute of Technology, 5th August 2024

Toward the Science and Technology of the Future @SEATUC2024, Shibaura Institute of Technology, 28th February 2024

March 2023　Founder ARIMOTO Shiro Comemoration Award, Shibaura Institute of Technology

March 2021　President’s Award (Global), Shibaura Institute of Technology

2022 前期　グローバル理工系人材育成大学院給付奨学金

2021 後期　グローバル理工系人材育成大学院給付奨学金

2020 後期　私費外国人留学生30％給付金

2019 後期　私費外国人留学生30％給付金

2018 後期　私費外国人留学生30％給付金