Yamasaki Aiichi

ヤマサキアイイチ | Yamasaki Aiichi

Affiliation and department：
Job title： Associate professor
Homepage URL (2)： https://www.math.kyoto-u.ac.jp/~yamasaki/index-ja.html , https://www.math.kyoto-u.ac.jp/~yamasaki/index.html

Research field (1)： Algebra

Research keywords (4)： number theory , 有理性問題 , associative algebra , Division Algebra

Research theme for competitive and other funds (10)：

2024 - 2028 Rationality problems and their applications to number theory
2020 - 2024 rationality problem for invariant field
2019 - 2023 Unramified cohomology groups and rationality problem for fields of invariants
2016 - 2019 rationality problem and its application
2012 - 2015 research on rationality problem for extension field

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Papers (22)：

Akinari Hoshi, Aiichi Yamasaki. Rationality problem for norm one tori for dihedral extensions. Journal of Algebra. 2024. 640. 368-384
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 $\le 6. Memoirs of the American Mathematical Society. 2023. 283. 1403
Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki. Norm one tori and Hasse norm principle. Mathematics of Computation. 2022. 91. 344. 2431-2458
Akinari Hoshi, Ming-Chang Kang, Hidetaka Kitayama, Aiichi Yamasaki. A two-dimensional rationality problem and intersections of two quadrics. Manuscripta Mathematica. 2022. 168. 3-4. 423-437

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MISC (8)：

3 次不分岐コホモロジー群の GAP による計算. 第27回整数論サマースクール報告集「構成的ガロア逆問題と不変体の有理性問題」. 2020. 27. 281-287
Flabby resolution の GAP による計算. 第27回整数論サマースクール報告集「構成的ガロア逆問題と不変体の有理性問題」. 2020. 27. 77-90
山﨑愛一. アデール群と近似定理. 第7回整数論サマースクール報告集「代数群の整数論入門」,7/,242-263. 2000
山﨑愛一. LatticeのcancellationとEichler condition. 第31回環論シンポジウム講究録,31/,198-203. 1999
山崎愛一. 一般線形群の帰納極限(無限次元測度論と無限次元群の表現論). 数理解析研究所講究録. 1997. 1017. 92-103

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Books (1)：

Education (3)：

1992 - 1996 the graduate course, Kyoto University Faculty of science Department of mathematics
- 1996 Kyoto University Graduate School, Division of Natural Science
1988 - 1992 Kyoto university Faculty of science

Professional career (1)：

Work history (7)：

2007/04 - 現在 associate professor at Department of Mathematics, Kyoto University
2003/04 - 2007/03 associate professor at Department of Mathematics, Kyoto University
2000/04 - 2003/03 associate professor at Faculty of Integrated Human Studies, Kyoto University
1996/07 - 2000/03 assistant professor at Department of Mathematics, Kyoto University
1996 - 2000 Kyoto University, Research Associate

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Awards (1)：

Association Membership(s) (1)：

日本数学会

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