Takahashi Hiroki

タカハシヒロキ | Takahashi Hiroki

Affiliation and department：
Job title： Professor
Homepage URL (2)： https://math0.pm.tokushima-u.ac.jp/~hiroki/indexj.html , 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

Show all

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 (3)：

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)：

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

Show all

Committee career (2)：

Association Membership(s) (2)：

アメリカ数学会 , 日本数学会

※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page