Hoshi Akinari

ホシアキナリ | Hoshi Akinari

Affiliation and department：
Job title： Professor
Homepage URL (2)： http://mathweb.sc.niigata-u.ac.jp/~hoshi/index-j.html , http://mathweb.sc.niigata-u.ac.jp/~hoshi/

Research field (1)： Algebra

Research keywords (7)： Arithmetic Geometry , 数論幾何 , Algebraic Geometry , 整数論 , 代数幾何 , Number Theory , Algebra

Research theme for competitive and other funds (14)：

2024 - 2027 数論と代数幾何と計算数学の融合-代数多様体の有理性問題の新展開-
2019 - 2023 Unramified cohomology groups and rationality problem for fields of invariants
2021 - 2022 Rationality problem for norm one tori in small dimensions
2016 - 2017 Rationality problem for algebraic tori
2013 - 2017 Rationality problem for fields of invariants

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Papers (43)：

Akinari Hoshi, Aiichi Yamasaki. Rationality problem for norm one tori for dihedral extensions. Journal of Algebra. 2024. 640. 368-384
Akinari Hoshi, Hidetaka Kitayama. Rationality problem of two-dimensional quasi-monomial group actions. To appear in Transformation Groups. 2024
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki. Norm one tori and Hasse norm principle, II: Degree 12 case. Journal of Number Theory. 2023. 244. 84-110
Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki. Multiplicative Invariant Fields of Dimension ≤ 6. Memoirs of the American Mathematical Society. 2023. 283. 1403. 1-137
Akinari Hoshi, Kazuki Kanai. Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods. Finite Fields and Their Applications. 2022. 84. 102101. 1-26

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Books (3)：

要点明解線形数学三訂版
培風館 2022 ISBN:9784563012410
An Introduction to Group Theory (Japanese)
NIPPON HYORON SHA CO.,LTD. 2016 ISBN:9784535788091
要点明解線形数学改訂版
培風館 2016 ISBN:9784563012007

Lectures and oral presentations (150)：

Hasse norm principle for $M_{11}$ extensions
(Spring Meeting of the Mathematical Society of Japan 2023)
Birational classification for algebraic tori (I)
(Spring Meeting of the Mathematical Society of Japan 2023)
Birational classification for algebraic tori
(Yufuin Workshop on Algebraic Geometry (Prof. Masamichi Kuroda, Taketo Shirane, Kentaro Mitsui and Kazuhiko Yamaki) 2023)
Hasse norm principle for $M_{11}$ extensions
(Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2022)
Birational classification for algebraic tori (III)
(Niigata Algebra Seminar (Prof. Hideo Kojima and Takeshi Takahashi) 2022)

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Education (3)：

2003 - 2005 Waseda University Department of Mathematical Sciences Ph.D. (Doctor of Science)
2001 - 2003 Waseda University Department of Mathematical Sciences Master of Science
1997 - 2001 Waseda University Department of Mathematics Bachelor of Science

Professional career (1)：

Work history (11)：

2023/04 - 現在 Niigata University Mathematical Science, Fundamental Sciences, Graduate School of Science and Technology Chair
2021/08 - 現在 Niigata University Department of Mathematics Professor
2023/04 - 2024/03 Niigata University Department of Mathematics Vice Chair
2022/04 - 2023/03 Niigata University Faculty of Science Department of Science Chair
2017/04 - 2021/08 Niigata University Department of Mathematics Associate Professor

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Committee career (1)：

Awards (4)：

Association Membership(s) (1)：

The Mathematical Society of Japan

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