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J-GLOBAL ID：200901018455233989   Update date: Apr. 18, 2024

Takahashi Hiroki

タカハシ ヒロキ | Takahashi Hiroki
Affiliation and department：
Tokushima University Graduate School of Technology, Industrial and Social Sciences

About Tokushima University Graduate School of Technology, Industrial and Social Sciences


Job title： Professor
Homepage URL  (1)： https://math0.pm.tokushima-u.ac.jp/~hiroki/
Research field  (1)： Algebra
Research keywords  (3)： Iwasawa Theory ,  Number Theory ,  Algebra
Research theme for competitive and other funds  (13)：
  • 2020 - 2025 数論トポロジーと種々のモノドロミー不変量の新たな展開
  • 2017 - 2023 Analysis of the structures of Iwasawa modules of several variables by special elements of K-groups
  • 2013 - 2018 Analysis of the structures of Iwasawa modules by arithmetic special elements
  • 2013 - 2016 Computational study of K3 surfaces
  • 2009 - 2012 Research on the structure of Iwasawa modules for p-adic representations
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Papers (25)：
  • Hiroki Sumida-Takahashi, Furuya Naoki, Kitano Kodai. Greenberg's generalized conjecture and pairings of $p$-units in the $4p$-cyclotomic field. Journal of the Ramanujan Mathematical Society. 2024. 39. 1. 79-90
  • Humio Ichimura, Hiroki Sumida-Takahashi. On the class groups of certain real cyclic fields of $2$-power degree. Journal of Mathematics, Tokushima University. 2023. 57. 31-62
  • Hiroki Sumida-Takahashi. A generalized problem associated to the Kummer-Vandiver conjecture. Arnold Mathematical Journal. 2023. 9. 3. 381-391
  • Hiroki Sumida-Takahashi, Naoki Furuya, Kodai Kitano. On the $l$-part of the class groups of imaginary cyclic fields of conductor $p$ and degree $2l^n. Journal of Mathematics, Tokushima University. 2022. 56. 1-10
  • Humio ICHIMURA, Hiroki Sumida-TAKAHASHI. On the class groups of certain imaginary abelian fields of $2$-power degree. Journal of the Mathematical Society of Japan. 2022. 74. 3. 945-972
ｍore...
MISC (13)：
  • Sumida-Takahashi Hiroki. Special elements and Iwasawa invariants of cyclotomic fields. Proceedings of the 14th Workshop on Number Theory. 2016. 1-12
  • Sumida-Takahashi Hiroki. The Iwasawa lambda_l-invariants in cyclotomic Z_p-extensions. Proceedings of the workshop on Number Theory 2013. 2013. 30-39
  • Sumida-Takahashi Hiroki. The theory of Gamma-extensions and Iwasawa main conjecture of cyclotomic fields. Proceedings of the 9th Workshop on Number Theory. 2012. 1-17
  • Takahashi Hiroki. Euler's mathematics and "Letters to a German princess". Surikaisekikenkyusho Kokyuroku. 2011. 1739. 203-213
  • Takahashi Hiroki. Numerical errors of "Introduction to infinite analysis". Surikaisekikenkyusho Kokyuroku. 2008. 1583. 168-179
ｍore...
Books (2)：
  • 大数学者の数学 オイラー 無限解析の源流
    現代数学社 2010 ISBN:9784768703878
  • 無限オイラー解析-Zの等式への誘い-
    現代数学社 2007 ISBN:9784768703755
Education (4)：
  • 1992 - 1996 The University of Tokyo Graduate School of Mathematical Sciences Mathematical Sciences
  • 1991 - 1992 The University of Tokyo Graduate School of Science Mathematics
  • 1989 - 1991 The University of Tokyo Faculty of Science Department of Mathematics
  • 1987 - 1989 The University of Tokyo Faculty of Arts and Sciences S-1
Professional career (1)：
  • Doctor(Mathematical Science) (The University of Tokyo)
Work history (8)：
  • 2017/04 - 現在 Tokushima University Graduate School of Technology, Industrial and Social Sciences Professor
  • 2016/04 - 2017/03 The University of Tokushima Graduate School of Technology and Science Professor
  • 2013/08 - 2016/03 The University of Tokushima Institute of Technology and Science Professor
  • 2009/03 - 2013/07 Hiroshima University Graduate School of Science Associate professor
  • 2005/09 - 2009/02 The University of Tokushima Faculty of Engineering Associate professor
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Committee career (2)：
  • 2015 - 2017 日本数学会 委員(非公開)
  • 2006 - 2010 日本数学会雑誌数学編集委員(非常任)
Association Membership(s) (2)：
アメリカ数学会 ,  日本数学会
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