Basic Information

Faculty

• 理学部

Professional Memberships

• 日本数学会

Academic Degree

• 修士（理学）(京都大学)
• 博士（理学）(京都大学)

Academic Resume (Graduate Schools)

• 京都大学, 大学院理学研究科修士課程数学専攻, 修了
• 京都大学, 大学院理学研究科博士後期課程数学・数理解析専攻, 修了

Academic Resume (Undergraduate School/Majors)

• 京都大学, 理学部, 卒業

Research History

• From Apr. 2007, To Present

  associate professor at Department of Mathematics, Kyoto University
• From Apr. 2003, To Mar. 2007

  associate professor at Department of Mathematics, Kyoto University
• From Apr. 2000, To Mar. 2003

  associate professor at Faculty of Integrated Human Studies, Kyoto University
• From Jul. 1996, To Mar. 2000

  assistant professor at Department of Mathematics, Kyoto University
• From 1996, To 2000

  Kyoto University, Research Associate
• From Jun. 1996

  postdoctoral scholar
• From 1996

  Kyoto University, Research Fellow

Language of Instruction

• English

ID,URL

• J-Global ID

  200901017954207399

• Researcher number

  10283590

• External link

  https://www.math.kyoto-u.ac.jp/~yamasaki/index.html

researchmap URL

• https://researchmap.jp/AiichiYamasaki

Research

Research Interests

• number theory
• 有理性問題
• associative algebra
• Division Algebra

Research Areas

• Natural sciences, Algebra

Papers

• Norm one tori and Hasse norm principle, III: Degree 16 case

  Akinari Hoshi; Kazuki Kanai; Aiichi Yamasaki

  Journal of Algebra, Mar. 2025, Peer-reviewed

  Access this paper :

  
• Rationality problem for norm one tori for dihedral extensions

  Akinari Hoshi; Aiichi Yamasaki

  Journal of Algebra, Feb. 2024, Peer-reviewed

  
• Norm one tori and Hasse norm principle, II: Degree 12 case

  Akinari Hoshi; Kazuki Kanai; Aiichi Yamasaki

  Journal of Number Theory, Mar. 2023, Peer-reviewed

  
• Multiplicative invariant fields of dimension $\le 6$

  Akinari Hoshi; Ming-chang Kang; Aiichi Yamasaki

  Memoirs of the American Mathematical Society, Jan. 2023, Peer-reviewed

  
• Norm one tori and Hasse norm principle

  Akinari Hoshi; Kazuki Kanai; Aiichi Yamasaki

  Mathematics of Computation, Sep. 2022, Peer-reviewed

  
• A two-dimensional rationality problem and intersections of two quadrics

  Akinari Hoshi; Ming-Chang Kang; Hidetaka Kitayama; Aiichi Yamasaki

  Manuscripta Mathematica, Jul. 2022, Peer-reviewed

  
• Rationality problem for norm one tori

  Akinari Hoshi; Aiichi Yamasaki

  Israel Journal of Mathematics, Mar. 2021, Peer-reviewed

  
• Rationality problem for norm one tori in small dimensions

  Sumito Hasegawa; Akinari Hoshi; Aiichi Yamasaki

  Mathematics of Computation, Mar. 2020, Peer-reviewed

  
• Degree three unramified cohomology groups and Noether's problem for groups of order 243

  Akinari Hoshi; Ming-chang Kang; Aiichi Yamasaki

  Journal of Algebra, Feb. 2020, Peer-reviewed

  
• Rationality problems for relation modules of dihedral groups

  Akinari Hoshi; MIng-chang Kang; Aiichi Yamasaki

  Journal of Algebra, Jul. 2019, Peer-reviewed

  
• Rationality Problem for Algebraic Tori

  Akinari Hoshi; Aiichi Yamasaki

  MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, Jul. 2017, Peer-reviewed

  
• Degree three unramified cohomology groups

  Akinari Hoshi; Ming-chang Kang; Aiichi Yamasaki

  JOURNAL OF ALGEBRA, Jul. 2016, Peer-reviewed

  
• Negative solutions to three-dimensional monomial Noether problem

  Aiichi Yamasaki

  JOURNAL OF ALGEBRA, Nov. 2012, Peer-reviewed

  
• Rationality problem of three-dimensional monomial group actions

  Akinari Hoshi; Hidetaka Kitayama; Aiichi Yamasaki

  JOURNAL OF ALGEBRA, Sep. 2011, Peer-reviewed

  
• Some cases of four dimensional linear Noether's problem

  Aiichi Yamasaki

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Oct. 2010, Peer-reviewed

  
• The rationality problem for four-dimensional linear actions

  Hidetaka Kitayama; Aiichi Yamasaki

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2009, Peer-reviewed

  
• The structure of a complete valuation ring with an infinite residue field

  A Yamasaki

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2005, Peer-reviewed

  
• Tissue distribution of Thorotrast and role of internal irradiation in carcinogenesis

  K Yamasaki; A Yamasaki; M Tosaki; Y Isozumi; H Hiai

  ONCOLOGY REPORTS, Oct. 2004, Peer-reviewed

  
• Toward a generalization of strong approximation theorem to a general PF field

  A Yamasaki

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Dec. 2002, Peer-reviewed

  
• Inductive limit of general linear groups

  A Yamasaki

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Dec. 1998, Peer-reviewed

  
• The Brauer group of a rational function field over a perfect field

  A Yamasaki

  JOURNAL OF NUMBER THEORY, Aug. 1997, Peer-reviewed

  
• Strong approximation theorem for division algebras over R(X)

  A Yamasaki

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Jul. 1997, Peer-reviewed

  
• Cancellation of lattices and approximation properties of division algebras

  A Yamasaki

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Dec. 1996, Peer-reviewed

  

Misc.

• 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

  
• 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

  
• アデール群と近似定理

  山﨑 愛一

  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

  
• LatticeのcancellationとEichler condition

  山﨑 愛一

  第31回環論シンポジウム講究録,31/,198-203, 1999

  
• 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)

  山崎 愛一

  数理解析研究所講究録, Nov. 1997

  Access this misc :

  
• 一般線形群の帰納極限

  山﨑 愛一

  京大数理解析研講究録,1017/,92-103, 1997

  
• Brauer group of R(X) and Eichler type theorem

  山﨑 愛一

  Lecture Note, RIMS,925/,143-158, 1995

  
• On the gap distribution of prime numbers

  山﨑 愛一

  Lecture Note, RIMS,887/,151-168, 1994

  

Books and Other Publications

• 円分数の素因数分解(その4)

  山﨑 愛一

  上智大学講究録,42, 1999, Not refereed

  

Awards

• 1999

  日本数学会賞建部賢弘奨励賞

External funds: Kakenhi

• Rationality problems and their applications to number theory

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Kyoto University

  山崎 愛一

  From 01 Apr. 2024, To 31 Mar. 2028, Granted

  数論;代数幾何;計算数学;有理性問題;ハッセノルム原理;ノルム1トーラス

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K06647/
• Number theory and algebraic geometry and computer mathematics - New developments on rationality problems for algebraic varieties -

  Grant-in-Aid for Scientific Research (B)

  Basic Section 11010:Algebra-related

  Niigata University

  星 明考

  From 01 Apr. 2024, To 31 Mar. 2027, Granted

  有理性問題;ネーター問題;不分岐ブラウアー群;レトラクト有理性;単項式作用;代数的トーラス;ノルム１トーラス;ハッセノルム原理;ハッセ・ノルム原理;双有理不変量;不分岐コホモロジー群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K00519/
• the rationality problem for fields of invariants

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Kyoto University

  Aiichi Yamasaki

  From 01 Apr. 2020, To 31 Mar. 2024, Project Closed

  数論;代数幾何;計算数学;有理性問題;Hasseノルム原理;ノルム1トーラス;ハッセノルム原理;代数的トーラス;双有理同値;flabby resolution;Hasseの原理;計算機代数;近似定理;有限群の作用による不変体;不分岐コホモロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K03511/
• Unramified cohomology groups and rationality problem for fields of invariants

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Niigata University

  Akinari Hoshi

  From 01 Apr. 2019, To 31 Mar. 2023, Project Closed

  有理性問題;ネーター問題;不分岐コホモロジー;半単項式作用;安定有理性;レトラクト有理性;双有理分類;ハッセ原理;不分岐ブラウアー群;代数的トーラス;ノルム１トーラス;ハッセノルム原理;ダベンポート・ハッセの定理;不分岐コホモロジー群;整数ホッジ予想

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K03418/
• rationality problem and its application

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Aiichi Yamasaki

  From 01 Apr. 2016, To 31 Mar. 2019, Project Closed

  Noether問題;有理性問題;不分岐コホモロジー;Galois逆問題;ネーター問題;有限群の作用による不変体;代数的トーラス;不分岐コホモロージー;代数学;数論;代数幾何;計算機代数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K05059/
• rationality problem on extension fields

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Aiichi YAMASAKI

  From 01 Apr. 2012, To 31 Mar. 2015, Project Closed

  rationality problem;algebraic torus;conic bundle;Noether's problem;unramified cohomology;relation module;Bravais群;有理性問題;Noether問題;有限群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540019/
• Research on the derivative of L-functions and automorphic forms

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Hiroyuki YOSHIDA

  From 01 Apr. 2009, To 31 Mar. 2012, Project Closed

  志村-谷山予想;cohomology群;L函数の特殊値;セルバーグのゼータ函数;例外的零点;非合同部分群;ヒルベルトモジュラー形式;群cohomology;保型形式;周期

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540014/
• Research on periods, L-functions and automorphic forms

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Hiroyuki YOSHIDA

  From 01 Apr. 2004, To 31 Mar. 2008, Project Closed

  周期;保型形式;L函数;モチーフ;志村・谷山予想;Absolute CM-period;L函数の特殊値;Gross-Prasad予想, Period;Automorphic form;L-function

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340006/
• 強近似定理の一般化

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  山崎 愛一

  From 01 Apr. 2002, To 31 Mar. 2005, Project Closed

  多元環;整数論;完備離散付値環;division algebra;強近似定理;係数体の一般化

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14740012/
• 多元環の整数論

  Grant-in-Aid for Encouragement of Young Scientists (A)

  Kyoto University

  山崎 愛一

  From 01 Apr. 1999, To 31 Mar. 2001, Project Closed

  division algebra;強近似定理;係数体の一般化;多元環;素因数分解

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11740012/
• Homological structure and representation of Noetherian algebras

  Grant-in-Aid for Scientific Research (C)

  Shinshu University

  Kenji NISHIDA

  From 01 Apr. 1999, To 31 Mar. 2002, Project Closed

  ネータ多元環;ゴレンシュテイン多元環;ゴレンシュテイン次元;双対加群;整環;アルティン多元環;ネータ環;バス予想;有限入射次元;完全加群, Noetherian algebra;Gorenstein Algebra;Gorenstein dimension;dualizing module;order

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640020/

External funds: others

• number theory of division algebras

  From 1993

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Exercises in Algebra I

  3180, Spring, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Exercises in Algebra II

  3152, Fall, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Number Theory D

  0515, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Number Theory C

  0514, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Number Theory B

  0513, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Number Theory A

  0512, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2024, To 31 Mar. 2025

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Number Theory A

  0512, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Number Theory D

  0515, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Number Theory C

  0514, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Number Theory B

  0513, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Exercises in Algebra I

  3180, Spring, Faculty of Science, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Exercises in Algebra II

  3152, Fall, Faculty of Science, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Exercises in Algebra II

  3152, Fall, Faculty of Science, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Calculus with Exercises A

  N149, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebra b

  0467, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebra a

  0466, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Number Theory a

  0414, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Number Theory B

  0513, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebra c

  0468, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebra d

  0469, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Number Theory d

  0417, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Number Theory c

  0416, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Number Theory b

  0415, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Number Theory A

  0512, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Exercises in Algebra I

  3180, Spring, Faculty of Science, 4
• From Apr. 2011, To Mar. 2012

  Linear Algebra B

  Fall, 全学共通科目
• From Apr. 2011, To Mar. 2012

  Cultural Aspect of Mathematics A

  Spring, 全学共通科目
• From Apr. 2011, To Mar. 2012

  Cultural Aspect of Mathematics B

  Fall, 全学共通科目
• From Apr. 2011, To Mar. 2012

  Linear Algebra A

  Spring, 全学共通科目
• From Apr. 2011, To Mar. 2012

  代数学演義Ｉ

  Spring, 理学部
• From Apr. 2012, To Mar. 2013

  Cultural Aspect of Mathematics A

  Spring, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Cultural Aspect of Mathematics B

  Fall, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Exercises in Algebra I

  Spring, 理学部
• From Apr. 2013, To Mar. 2014

  Calculus A

  Spring, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Calculus B

  Fall, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Seminar on Number Theory A

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Number Theory B

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Number Theory C

  Spring, 理学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Number Theory D

  Fall, 理学研究科
• From Apr. 2014, To Mar. 2015

  Advanced Calculus I - Vector Calculus

  Spring, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Exercises in Algebra II

  Fall, 理学部
• From Apr. 2015, To Mar. 2016

  Advanced Algebra II

  Spring, 理学部
• From Apr. 2015, To Mar. 2016

  Basic Mathematics B

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Seminar on Number Theory A

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Number Theory B

  Fall, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Number Theory C

  Spring, 理学研究科
• From Apr. 2015, To Mar. 2016

  Seminar on Number Theory D

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Exercises in Algebra I

  Spring, 理学部
• From Apr. 2016, To Mar. 2017

  Exercises in Algebra II

  Fall, 理学部
• From Apr. 2016, To Mar. 2017

  Seminar on Algebra A

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Algebra B

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Basic Mathematics IA

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Basic Mathematics IB

  Fall, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Seminar on Number Theory A

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Number Theory B

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Number Theory C

  Spring, 理学研究科
• From Apr. 2016, To Mar. 2017

  Seminar on Number Theory D

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Elementary Probability

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Exercises in Algebra I

  Spring, 理学部
• From Apr. 2017, To Mar. 2018

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Seminar on Number Theory A

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Number Theory B

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Number Theory C

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Number Theory D

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Algebra C

  Spring, 理学研究科
• From Apr. 2017, To Mar. 2018

  Seminar on Algebra D

  Fall, 理学研究科
• From Apr. 2017, To Mar. 2018

  Elementary Probability

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Exercises in Algebra II

  Fall, 理学部
• From Apr. 2018, To Mar. 2019

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Seminar on Number Theory a

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Number Theory b

  Fall, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Number Theory c

  Spring, 理学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Number Theory d

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Exercises in Algebra II

  Fall, 理学部
• From Apr. 2019, To Mar. 2020

  Advanced Calculus I - Vector Calculus

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Calculus with Exercises B

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Seminar on Number Theory a

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Number Theory b

  Fall, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Number Theory c

  Spring, 理学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Number Theory d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Exercises in Algebra I

  Spring, 理学部
• From Apr. 2020, To Mar. 2021

  Exercises in Algebra II

  Fall, 理学部
• From Apr. 2020, To Mar. 2021

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Seminar on Number Theory a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Number Theory b

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Number Theory c

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Number Theory d

  Fall, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Algebra a

  Spring, 理学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Algebra b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Exercises in Algebra I

  Spring, 理学部
• From Apr. 2021, To Mar. 2022

  Exercises in Algebra II

  Fall, 理学部
• From Apr. 2021, To Mar. 2022

  Seminar on Number Theory a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Number Theory b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Number Theory c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Number Theory d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Algebra c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Algebra d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Special study course (Mathematical Science

  Year-long, 理学部
• From Apr. 2021, To Mar. 2022

  Special study course (Mathematical Science)

  Year-long, 理学部

Part-time lecturer

• From 08 Apr. 2024, To 31 Mar. 2025

  新潟大学, 理学部
• From 01 Jul. 2023, To 31 Mar. 2024

  新潟大学大学院自然科学研究科