Yamasaki Aiichi 山崎愛一

… Alternative Names

YAMASAKI Aiichi 山崎愛一

山崎愛一ヤマサキアイイチ

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Researcher Number	10283590
Other IDs
Affiliation (Current)	2025: 京都大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2016 – 2024: 京都大学, 理学研究科, 准教授 2012 – 2014: 京都大学, 理学(系)研究科(研究院), 准教授 2009 – 2011: 京都大学, 大学院・理学研究科, 准教授 2003 – 2004: 京都大学, 大学院・理学研究科, 助教授 2002: 京都大学, 総合人間学部, 助教授 2000: 京都大学, 総合人間学部, 助教授 1999: 京都大学, 大学院・理学研究科, 助手
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra / Algebra Except Principal Investigator Basic Section 11010:Algebra-related / Algebra / Algebra
Keywords	Principal Investigator 有理性問題 / 代数幾何 / 数論 / ハッセノルム原理 / 計算数学 / 計算機代数 / 代数的トーラス / 有限群の作用による不変体 / 不分岐コホモロジー / Noether問題 … More / 多元環 / 係数体の一般化 / 強近似定理 / division algebra / 近似定理 / Hasseの原理 / flabby resolution / 双有理同値 / ノルム1トーラス / Hasseノルム原理 / 代数学 / 不分岐コホモロージー / ネーター問題 / Galois逆問題 / 有限群 / Bravais群 / relation module / unramified cohomology / Noether's problem / conic bundle / algebraic torus / rationality problem / 完備離散付値環 / 整数論 / 素因数分解 … More Except Principal Investigator 不分岐コホモロジー群 / 代数的トーラス / 有理性問題 / 周期 / 保型形式 / L函数の特殊値 / 双有理不変量 / ハッセ・ノルム原理 / 整数ホッジ予想 / ダベンポート・ハッセの定理 / ハッセノルム原理 / ノルム１トーラス / 不分岐ブラウアー群 / ハッセ原理 / 双有理分類 / レトラクト有理性 / 安定有理性 / 半単項式作用 / 不分岐コホモロジー / ネーター問題 / L-function / Automorphic form / Period / Gross-Prasad予想 / Absolute CM-period / 志村・谷山予想 / モチーフ / L函数 / order / dualizing module / Gorenstein dimension / Gorenstein Algebra / Noetherian algebra / 完全加群 / 有限入射次元 / バス予想 / ネータ環 / アルティン多元環 / 整環 / 双対加群 / ゴレンシュテイン次元 / ゴレンシュテイン多元環 / ネータ多元環 / 群cohomology / ヒルベルトモジュラー形式 / 非合同部分群 / 例外的零点 / セルバーグのゼータ函数 / cohomology群 / 志村-谷山予想 Less

Number theory and algebraic geometry and computer mathematics - New developments on rationality problems for algebraic varieties -
- Principal Investigator
  
  星明考
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Niigata University
Rationality problems and their applications to number theoryPrincipal Investigator
- Principal Investigator
  
  山崎愛一
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kyoto University
the rationality problem for fields of invariantsPrincipal Investigator
- Principal Investigator
  
  Yamasaki Aiichi
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kyoto University
Unramified cohomology groups and rationality problem for fields of invariants
- Principal Investigator
  
  Hoshi Akinari
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Niigata University
rationality problem and its applicationPrincipal Investigator
- Principal Investigator
  
  Yamasaki Aiichi
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
rationality problem on extension fieldsPrincipal Investigator
- Principal Investigator
  
  YAMASAKI Aiichi
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Research on the derivative of L-functions and automorphic forms
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Research on periods, L-functions and automorphic forms
- Principal Investigator
  
  YOSHIDA Hiroyuki
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
強近似定理の一般化Principal Investigator
- Principal Investigator
  
  山崎愛一
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
多元環の整数論Principal Investigator
- Principal Investigator
  
  山崎愛一
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Homological structure and representation of Noetherian algebras
- Principal Investigator
  
  NISHIDA Kenji
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2009 Other

All Journal Article Presentation

[Journal Article] Rationality problem for norm one tori for dihedral extensions2024
- Author(s)
  Hoshi Akinari、Yamasaki Aiichi
- Journal Title
  
  Journal of Algebra
  
  Volume: 640 Pages: 368-384
- DOI
  10.1016/j.jalgebra.2023.10.034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03511
[Journal Article] Multiplicative Invariant Fields of Dimension ≦ 6.2023
- Author(s)
  A.Hoshi, M.Kang, A.Yamasaki
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 283 Issue: 1403 Pages: 1-137
- DOI
  10.1090/memo/1403
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03511, KAKENHI-PROJECT-19K03418
[Journal Article] Norm one tori and Hasse norm principle, II: Degree 12 case2023
- Author(s)
  A. Hoshi, K. Kanai, A.Yamasaki
- Journal Title
  
  Journal of Number Theory
  
  Volume: 244 Pages: 84-110
- DOI
  10.1016/j.jnt.2022.09.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03511, KAKENHI-PROJECT-19K03418
[Journal Article] Norm one tori and Hasse norm principle2022
- Author(s)
  A. Hoshi, K. Kanai, A.Yamasaki
- Journal Title
  
  Mathematics of Computation
  
  Volume: 91 Issue: 337 Pages: 2431-2458
- DOI
  10.1090/mcom/3735
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03511, KAKENHI-PROJECT-19K03418
[Journal Article] A two-dimensional rationality problem and intersections of two quadrics2021
- Author(s)
  Akinari Hoshi, Ming-Chang Kang, Hidetaka Kitayama, Aiichi Yamasaki
- Journal Title
  
  manuscripta mathematica
  
  Volume: - Issue: 3-4 Pages: 423-437
- DOI
  10.1007/s00229-021-01313-7
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418, KAKENHI-PROJECT-19K03447
[Journal Article] Rationality problem for norm one tori2021
- Author(s)
  Akinari Hoshi, Aiichi Yamasaki
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 241 Issue: 2 Pages: 849-867
- DOI
  10.1007/s11856-021-2117-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03418, KAKENHI-PROJECT-20K03511
[Journal Article] Rationality problem for norm one tori in small dimensions2020
- Author(s)
  Hasegawa Sumito, Hoshi Akinari, Yamasaki Aiichi
- Journal Title
  
  Mathematics of Computation
  
  Volume: 89 Issue: 322 Pages: 923-940
- DOI
  10.1090/mcom/3469
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03418
[Journal Article] Degree three unramified cohomology groups and Noether's problem for groups of order 2432020
- Author(s)
  Hoshi Akinari, Kang Ming-chang, Yamasaki Aiichi
- Journal Title
  
  Journal of Algebra
  
  Volume: 544 Pages: 262-301
- DOI
  10.1016/j.jalgebra.2019.08.008
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418
[Journal Article] Rationality problems for relation modules of dihedral groups2019
- Author(s)
  Hoshi Akinari, Kang Ming-chang, Yamasaki Aiichi
- Journal Title
  
  Journal of Algebra
  
  Volume: 530 Pages: 368-401
- DOI
  10.1016/j.jalgebra.2019.04.015
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418
[Journal Article] Rationality problems for relation modules of dihedral groups,2019
- Author(s)
  星明考, Ming-chang Kan, 山崎愛一
- Journal Title
  
  Journal of Algebra
  
  Volume: 未定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05059
[Journal Article] Rationality problem for algebraic tori.2017
- Author(s)
  A.Hoshi and A.Yamasaki
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 248 1176 Pages: 1-215
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K05059
[Journal Article] Degree three unramified cohomology groups.2016
- Author(s)
  A.Hoshi, M.Kang and A.Yamasaki
- Journal Title
  
  Journal of Algebra
  
  Volume: 458 Pages: 120-133
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05059
[Journal Article] Rationality problem for algebraic tori2015
- Author(s)
  A.Hoshi, A.Yamasaki
- Journal Title
  
  Memoirs of the American Mathematical Society
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540019
[Journal Article] Rationality problem of three-dimensional monomial group asctios.2012
- Author(s)
  A.Yamasaki
- Journal Title
  
  Journal of Algebra
  
  Volume: 370 Pages: 46-78
- DOI
  10.1016/j.jalgebra.2012.07.018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540019
[Journal Article] The rationality problem for four-dimensional linear actions2009
- Author(s)
  Aiichi Yamasaki (with Hidetaka Kitayama)
- Journal Title
  
  J.Math.Kyoto University 49
  
  Pages: 359-380
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540014
[Journal Article] The rationality problem for Four-dimensional linear actions
- Author(s)
  Aiichi Yamasaki
- Journal Title
  
  J. Math. Kyoto University
  
  Volume: Vol49 Pages: 359-380
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540014
[Presentation] Birational classification for algebraic tori (II)2024
- Author(s)
  星明考　山崎愛一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-20K03511
[Presentation] Birational classification for algebraic tori (I)2023
- Author(s)
  Akinari Hoshi, Aiichi Yamasaki
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Hasse norm principle for $M_{11}$ extensions2023
- Author(s)
  Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Norm one tori and Hasse norm principle2021
- Author(s)
  山崎愛一
- Organizer
  代数的整数論とその周辺2021
- Data Source
  KAKENHI-PROJECT-20K03511
[Presentation] Norm one tori and Hasse norm principle2020
- Author(s)
  Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Norm one tori and Hasse norm principle, II2020
- Author(s)
  Akinari Hoshi, Kazuki Kanai, Aiichi Yamasaki
- Organizer
  日本数学会2020年度年会
- Data Source
  KAKENHI-PROJECT-19K03418
[Presentation] Noether’s problem for N:A62019
- Author(s)
  星明考, Ming-chang Kang, 山崎愛一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Rationality problem for norm one tori2019
- Author(s)
  星明考, 山崎愛一
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Computation of degree three unramified cohomology groups using GAP2018
- Author(s)
  星明考, Ming-chang Kan, 山崎愛一
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Degree three unramified cohomology groups and Noether’s problem for groups of order 2432018
- Author(s)
  星明考, Ming-chang Kan, 山崎愛一
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Degree three unramified cohomology groups and Noethe's problem for groups of order 2432018
- Author(s)
  山崎愛一
- Organizer
  International Workshop on Algebra
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Multiplicative invariant fields of dimension n ≦ 62017
- Author(s)
  星明考, Ming-chang Kan, 山崎愛一
- Organizer
  日本数学会2017年度年会
- Place of Presentation
  首都大学東京
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Degree three unramifed cohomology groups (II)2017
- Author(s)
  星明考, Ming-chang Kan, 山崎愛一
- Organizer
  日本数学会2017年度年会
- Place of Presentation
  首都大学東京
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Relation modules of dihedral groups2017
- Author(s)
  星明考, Ming-chang Kan, 山崎愛一
- Organizer
  日本数学会2017年度年会
- Place of Presentation
  首都大学東京
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Degree Three Unramified Cohomology Group2016
- Author(s)
  山崎愛一
- Organizer
  新潟代数セミナー
- Place of Presentation
  新潟大学　(新潟市)
- Invited
- Data Source
  KAKENHI-PROJECT-16K05059
[Presentation] Rationality problem of conic bundles2014
- Author(s)
  A.Yamasaki
- Organizer
  SEOUL ICM 2014, Short Communications
- Place of Presentation
  Seoul Coex
- Year and Date
  2014-08-16
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] Class numbers and algebraic tori2014
- Author(s)
  山崎愛一,星明考,Ming-chang Kang
- Organizer
  日本数学会年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] Rationality problem of conic bundles2014
- Author(s)
  A.Yamasaki
- Organizer
  New Developments in Algebraic Geometry
- Place of Presentation
  台湾大学
- Year and Date
  2014-09-05
- Invited
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] Rationality problem for algebraic tori2014
- Author(s)
  A.Hoshi, A.Yamasaki
- Organizer
  SEOUL ICM 2014, Short Communications
- Place of Presentation
  Seoul Coex
- Year and Date
  2014-08-19
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] 位数256の群のisoclinism family2013
- Author(s)
  山崎愛一
- Organizer
  日本数学会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] z^2 = P(x) y^2 + Q(x) の有理性問題2013
- Author(s)
  山崎愛一
- Organizer
  日本数学会年会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] Rationality of generalized Chatelet surfaces2013
- Author(s)
  山崎愛一
- Organizer
  One-day workshop of algebra
- Place of Presentation
  台湾大學
- Invited
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] 代数的トーラスとシャトレー曲面の有理性問題2013
- Author(s)
  山崎愛一
- Organizer
  西早稲田数論セミナー
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] Krull-Schmidt theorem fails for dimension 52013
- Author(s)
  星明考,山崎愛一
- Organizer
  日本数学会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] GL(5;Z), GL(6;Z) の有限部分群の分類表の整備と楕円曲線の計算について2012
- Author(s)
  山崎愛一
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] GL(n, Z) の有限部分群と楕円曲線2012
- Author(s)
  山崎愛一
- Organizer
  Magma で開く数学の世界
- Place of Presentation
  高知大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] Rationality problem of algebraic tori (II)2012
- Author(s)
  山崎愛一
- Organizer
  One-day Workshop of Algebra
- Place of Presentation
  台湾大學
- Invited
- Data Source
  KAKENHI-PROJECT-24540019
[Presentation] Rationality problem for algebraic tori2012
- Author(s)
  星明考,山崎愛一
- Organizer
  日本数学会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-24540019

1. Hoshi Akinari (50434262)

# of Collaborated Projects: 4 results

# of Collaborated Products: 19 results
2. UMEDA Tooru (00176728)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. YOSHIDA Hiroyuki (40108973)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. IKEDA Tamotsu (20211716)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. HIRAGA Kaoru (10260605)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. NISHIDA Kenji (70125392)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. NINOMIYA Yasushi (40092887)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. MUKAI Juno (50029675)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. IWANAGA Yasuo (80015825)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. FUJITA H. (60143161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. HANAKI Akihide (50262647)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. FURUSAWA Masaaki (50294525)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. FUJII Akio (50097226)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 加藤文元 (50294880)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 木田雅成 (20272057)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 岡田拓三 (20547012)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 安田健彦 (30507166)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 山木壱彦 (80402973)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 下元数馬 (70588780)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 小島秀雄 (90332824)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 橋詰健太 (40934211)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Yamasaki Aiichi 山崎 愛一

YAMASAKI Aiichi 山崎 愛一

山崎 愛一 ヤマサキ アイイチ

Research Projects

Research Products

Co-Researchers

Number theory and algebraic geometry and computer mathematics - New developments on rationality problems for algebraic varieties -

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Rationality problems and their applications to number theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

the rationality problem for fields of invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Unramified cohomology groups and rationality problem for fields of invariants

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

rationality problem and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

rationality problem on extension fieldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on the derivative of L-functions and automorphic forms

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on periods, L-functions and automorphic forms

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

強近似定理の一般化Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

多元環の整数論Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Homological structure and representation of Noetherian algebras

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Rationality problem for norm one tori for dihedral extensions2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Multiplicative Invariant Fields of Dimension ≦ 6.2023

Author(s)

Journal Title

Yamasaki Aiichi 山崎愛一

YAMASAKI Aiichi 山崎愛一

山崎愛一ヤマサキアイイチ