Rchr
J-GLOBAL ID:200901091750345232
Update date: Jul. 20, 2024
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 (15):
- 2024 - 2028 Rationality problems and their applications to number theory
- 2024 - 2027 Number theory and algebraic geometry and computer mathematics - New developments on rationality problems for algebraic varieties -
- 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
- 2010 - 2015 A computational research on number fields and coverings with non-commutative Galois groups
- 2010 - 2014 A study on constructive inverse Galois problem
- 2009 - 2010 単純巡回多項式族に対する同型問題と付随するThue方程式族の整数解への応用
- 2008 - 2009 生成的多項式の共通部分体問題-理論的枠組みの構築と計算代数による応用-
- 2006 - 2009 A computational study on extensions of algebraic number fields with non-commutative Galois groups
- 2007 - 2008 非可換ガロア拡大の系統的構成および代数多様体上の乗法的二次形式
- 2007 - 2008 Development of Number Theory based on Generic Polynomials
- 2006 - 2007 ガロア逆問題の構成的研究とその応用について
- 2004 - 2006 ガロア逆問題の構成的研究および代数多様体上乗法的な二次形式の理論の展開
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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
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Akinari Hoshi, Hidetaka Kitayama. Rationality problem of two-dimensional quasi-monomial group actions. To appear in Transformation Groups. 2024
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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
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Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki. Multiplicative Invariant Fields of Dimension ≤ 6. Memoirs of the American Mathematical Society. 2023. 283. 1403. 1-137
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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
more...
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)
more...
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):
- Ph.D. (Waseda University)
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
- 2013/04 - 2017/03 Niigata University Department of Mathematics Associate Professor
- 2008/04 - 2013/03 Rikkyo University Department of Mathematics Assistant Professor
- 2006/04 - 2008/03 Waseda University Department of Mathematics Research Associate
- 2005/04 - 2006/03 Japan Society for the Promotion of Science Research Fellow (PD)
- 2004/09 - 2005/08 University of Regensburg Guest Researcher
- 2004/04 - 2005/03 Japan Society for the Promotion of Science Reseach Fellow (DC2)
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Committee career (1):
- 2023/03 - 2024/02 Mathematical Society of Japan Local Delegate
Awards (4):
- 2023/08 - Niigata University Niigata University Scholarly Publishing Award
- 2021/12 - Niigata University Niigata University Outstanding Paper Award
- 2016/11 - Niigata University Niigata University President's Award
- 2005/03 - Waseda University Representative of Ph.D. (D.Sc.) recipients
Association Membership(s) (1):
The Mathematical Society of Japan
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