Basic Information

Faculty

• 理学部

Academic Degree

• 修士（理学）(東京大学)
• 博士（理学）(東京大学)
• Ｐｈ．Ｄ．(メリーランド州立大学)

ID,URL

• J-Global ID

  201401080979610043

researchmap URL

• https://researchmap.jp/7000008398

Research

Research Topics, Overview of the research

• Overview of the research

  複素曲面から単位円盤への正則写像で、原点以外の
  ファイバーがなめらかなリーマン面で、
  原点上のファイバーは、特異点をもつリーマン面（特異ファイバー）
  となっているとき「リーマン面の退化」という.
  これらの分裂変形を研究している．

Research Areas

• Natural sciences, Algebra

Papers

• Linear quotient families and stabilizer posets

  Ryota Hirakawa; Shigeru Takamura

  Kodai Math. J., 2025, Peer-reviewed

  
• 群の高次構造とその幾何学

  高村茂

  数理解析研究所講究録2306「有限群のコホモロジー論とその周辺」, Mar. 2025

  
• Prime Factorizations of Finite Groups, I

  Shigeru Takamura

  Advances in Group Theory and Applications, Dec. 2024, Peer-reviewed, Lead author

  
• The orders of subgroup products and coset products

  Shigeru Takamura

  Transactions on Combinatorics, 2025, Peer-reviewed

  
• 高次群論とその幾何学

  高村 茂

  数理解析研究所講究録2287「有限群論，代数的組合せ論，頂点代数の研究」, Jun. 2024

  
• Poset-blowdowns of generalized quaternion groups

  Ryota Hirakawa; Kenjiro Sasaki; Shigeru Takamura

  Int. J. Group Theory, 2024, Peer-reviewed

  
• 群の高次構造とその同伴ファイブレーション

  高村茂

  数理解析研究所講究録「研究集会 変換群の幾何とトポロジー (2023年6月)」, 2023

  
• Classifcation of finite groups with birdcage-shaped Hasse diagrams

  Shigeru Takamura

  Osaka J. Math., 2021, Peer-reviewed

  
• Blowdown maps between subgroup posets

  Shigeru Takamura

  Toyko J. Math., 2022, Peer-reviewed

  
• Quotient families of elliptic curves associated with representations of dihedral groups

  Ryota Hirakawa; Shigeru Takamura

  Publ. RIMS., 2019, Peer-reviewed

  
• Linearization of quotient families

  Shigeru Takamura

  J. Math. Sci. Univ. Tokyo, 2019, Peer-reviewed

  
• Dehn Twists, Hypertwists, and Uniformization of Twined Singularities

  Kenjiro Sasaki; Shigeru Takamura

  J. Math. Sci. Univ. Tokyo, 2018, Peer-reviewed

  
• Degenerations and fibrations of Riemann surfaces associated with regular polyhedra and soccer ball

  Ryota Hirakawa; Shigeru Takamura

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Jul. 2017, Peer-reviewed

  
• Uniformization of Cyclic Quotients of Multiplicative A-singularities

  Kenjiro Sasaki; Shigeru Takamura

  J. Math. Sci. Univ. Tokyo, 2016, Peer-reviewed

  
• Splittability of stellar singular fiber with three branches

  Kazushi Ahara; Shigeru Takamura

  Tokyo Journal of Mathematics, 2006

  
• Splitting deformations of degenerations of complex curves: Towards the classification of atoms of degenerations, III

  Shigeru Takamura

  Springer Lecture Notes in Mathematics, 2006, Peer-reviewed

  
• Towards the classification of atoms of degenerations, I - Splitting criteria via configurations of singular fibers

  S Takamura

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Jan. 2004, Peer-reviewed

  
• CR structures on the 3-sphere and the blow-up of the projective plane

  S Takamura

  MATHEMATISCHE NACHRICHTEN, 2000, Peer-reviewed

  
• Infinitesimal deformations of complex surfaces with boundary

  S Takamura

  MATHEMATISCHE ANNALEN, Sep. 1996, Peer-reviewed

  

Presentations

• 高次群論とその幾何学III

  高村茂

  研究集会RIMS 共同研究：「変換群論の新しい展開」, 14 May 2025

  
• 高次群論とその幾何学II

  高村 茂

  研究集会RIMS 共同研究：「有限群論，代数的組合せ論，頂点代数の研究」, 18 Dec. 2024

  
• On higher group theory and its geometry

  高村 茂

  研究集会 「多様体のトポロジーの進展」, 09 Nov. 2024

  
• 群の高次構造とその幾何学

  高村 茂

  研究集会RIMS 共同研究：「有限群のコホモロジー論とその周辺」, 15 Feb. 2024

  
• 高次群論とその幾何学

  高村 茂

  研究集会RIMS 共同研究：「有限群論，代数的組合せ論，頂点代数の研究」, 20 Dec. 2023

  
• 高次群論とその幾何学

  高村茂

  研究集会「4次元トポロジー」, 11 Nov. 2023, 大阪大学

  
• 有限群の「素因数分解」とその幾何

  高村茂

  研究集会「4次元トポロジー」, 12 Nov. 2022, 大阪大学

  
• 群の高次構造とその同伴ファイブレーション

  高村 茂

  研究集会RIMS 共同研究：「変換群の幾何とトポロジー」, 15 Jun. 2023

  
• 群の“メタ構造” に由来する幾何構造について

  高村茂

  「接触構造、特異点、微分方程式及びその周辺」, 18 Jan. 2022, オンライン開催（静岡大）

  
• Higher subgroup-posets and their adjacency geometry

  高村茂

  「葉層構造の幾何学とその応用」, 11 Dec. 2021, オンライン開催 (岐阜大学）

  
• Meta group-theory and poset geometry

  高村 茂

  研究集会「４次元トポロジー」, 13 Nov. 2021, オンライン開催(大阪大学)

  
• メタ群論・メタ群作用とそれらの幾何学(2)

  高村 茂

  空間の代数的・幾何的モデルとその周辺, 11 Sep. 2021, オンライン開催(信州大学)

  
• メタ群論・メタ群作用とそれらの幾何学(1)

  高村 茂

  空間の代数的・幾何的モデルとその周辺, 10 Sep. 2021, オンライン開催(信州大学)

  
• How to geometrize life histories of groups and group actions?

  Shigeru Takamura

  Pawalowski 先生の退官記念および古稀記念研究集会, 19 Feb. 2021, オンライン開催

  
• Blowdowns and canonical embeddings of subgroup posets

  第１８回代数曲線論シンポジウム, 18 Dec. 2020, オンライン開催(徳島大学)

  
• Poset-blowdowns and poset-fibrations

  変換群論研究集会, 03 Dec. 2020, オンライン開催(鹿児島大学)

  
• Blow up and down of groups and group actions

  研究集会「４次元トポロジー」, 20 Nov. 2020, オンライン開催(大阪大学理学部)

  
• Geometry of rings, Geometry of groups, Geometry of group actions — from a unified viewpoint

  第１７回代数曲線論シンポジウム, 14 Dec. 2019, 神奈川工科大学アクティブ・ラーニング横浜

  
• New geometry behind group actions

  研究集会「４次元トポロジー」, 29 Nov. 2019, 大阪大学理学部

  
• Group actions and higher Galois correpondences

  変換群論研究集会, 31 Oct. 2019, 大阪府立大学I-site なんばC1 会議室、C3 会議室

  
• Actional Geometry — Alternative Algebraic Geometry arising from Group Actions

  第１６回代数曲線論シンポジウム, 15 Dec. 2018, 神奈川工科大学アクティブ・ラーニング横浜

  
• Quotient families and their applications

  国際研究集会「Four Dimensional Topology」, 09 Sep. 2018, 大阪市立大学理学部

  
• Linearization and stratification of quotient families

  研究集会「リーマン面に関連する位相幾何学(Topological Studies around Riemann Surfaces)」, 08 Aug. 2018, 東京大学大学院数理科学研究科

  
• A geometry arising from group actions and moduli spaces

  第１５回代数曲線論シンポジウム, 16 Dec. 2017, 日本大学理工学部駿河台校舎

  
• Group actions and a geometry based on stabilizers

  研究集会「４次元トポロジー」, 24 Nov. 2017, 大阪市立大学理学部

  
• 商族の幾何学(有限群の作用と表現, ファイブレーション, モジュライ 空間)

  第14回城崎新人セミナー, 15 Feb. 2017

  
• Moduloid, familoid（亜モジュライ空間・亜族）and linearlization of moduli spaces

  第１４回代数曲線論シンポジウム, 19 Dec. 2016, 神奈川工科大学アクティブ・ラーニング横浜

  
• Families of quotient families

  研究集会「４次元トポロジー」, 20 Nov. 2016, 大阪市立大学理学部

  
• Irreducible representations of automorphism groups of Riemann surfaces and quotient families

  第１３回代数曲線論シンポジウム, 19 Dec. 2015, 神奈川工科大学アクティブ・ラーニング横浜

  
• Degenerations, splittings, and quotient families of Riemann surfaces (Topics on propeller surfaces, quotient families of type D, fibrations of Riemann surfaces associated with (semi)regular polyhedra)

  研究集会「４次元トポロジー」, 20 Nov. 2015, 大阪市立大学理学部

  
• 有限群の表現と商族と正多面体

  松本幸夫先生70歳記念研究集会「多様体のトポロジーの展望」, 28 Nov. 2014, 東京大学数理科学研究科

  
• Group actions, regular polyhedra, quotient families

  研究集会「４次元トポロジー」, 21 Nov. 2014, 大阪市立大学理学部

  
• Finite group representations, degenerations of complex manifolds, and kaleido fibers

  九州大学トポロジーセミナー, 07 Feb. 2014

  
• 有限群の表現と複素多様体の退化

  研究集会「接触構造・特異点・微分方程式およびその周辺」, 10 Jan. 2014, 高知市文化プラザかるぽーと (世話人：石川昌治, 笠原泰, 北野晃朗, 森藤孝之)

  
• Higher-dimensional torus knots, vanishing cycles and uniformization of singularities

  研究集会「４次元トポロジー」, 15 Nov. 2013, 広島大学

  
• Higher-dimensional torus knots, vanishing cycles and uniformization of singularities

  埼玉大学「代数幾何ミニ研究集会」, 27 Mar. 2013

  
• Higher-dimensional fractional Dehn twists and monodromies of singularities

  研究集会「４次元トポロジー」, 14 Nov. 2012, 広島大学

  
• Singularities, monodromies and uniformization

  研究集会「接触構造・特異点・微分方程式およびその周辺」, 2012, 鹿児島大学理学部 主催者(合田洋, 松田浩, 三松佳彦, 宮嶋公夫)

  
• Singular fibers of degenerations of Riemann surfaces

  「Branched Coverings, Degenerations, and Related Topics」, 2009, 広島大学数学教室 主催者（松本幸夫，足利正，作間誠，徳永浩雄，島田伊知朗）

  
• Canonical projection of degenerations

  「分裂族、モノドロミー、チャート 箱根セミナー０６」, 2006, 主催者(松本幸夫)

  
• リーマン面の退化の分裂族ついて

  東京大学数理科学研究科 玉原セミナーハウス, 2005, 東京大学数理科学研究科

  

Books and Other Publications

• Splitting Deformations of Degenerations of Complex Curves (Towards the Classification of Atoms of Degenerations, III)

  Shigeru Takamura

  Springer Lecture Notes in Math. 1886, 2006, Not refereed

  

External funds: Kakenhi

• Study of universal families over moduli spaces based on geometry of group actions

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Kyoto University

  Shigeru Takamura

  From 01 Apr. 2020, To 31 Mar. 2023, Project Closed

  モジュライ空間;普遍族;滑層分解;固定化部分群ポセット;群作用;幾何的ガロア対応;クライン曲線;群の高次構造;部分群ポセット;順序複体;準単体複体;分岐現象;モノイド;部分群積;コセット積;軌道ポセット;ポセット・ブローダウン;コセット・モノイド;部分群モノイド;ハッセ図;群作用変形族;群作用幾何;代数曲線;写像類群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20K03533/
• 非線形方程式のモジュライ空間の幾何学的応用

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  深谷 賢治

  From 01 Apr. 2011, To 31 Mar. 2012, Project Closed

  モジュライ空間;シンプレクティック幾何学;非線形微分方程式;ゲージ理論;フレアーホモロジー

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23244007/
• Geometry of Degenerations of Riemann Surfaces

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Shigeru TAKAMURA

  From 01 Apr. 2008, To 31 Mar. 2012, Project Closed

  リーマン面;分裂変形;複素曲面;特異点;モノドロミー;リーマン面の退化;デーン・ツイスト;複素幾何;モジュライ空間;退化族;複素構造;デーン・シイスト;テータ関数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20540073/
• 4-MANIFOLDS AND RIEMANN SURFACES

  Grant-in-Aid for Scientific Research (B)

  Gakushuin University

  Yukio MATSUMOTO

  From 01 Apr. 2008, To 31 Mar. 2012, Project Closed

  位相幾何学;4次元多様体;リーマン面;モジュライ空間;コンパクト化;オービフォールド;局所符号数;グルポイド;普遍退化族;特異ファイバーの分裂;符号数;タイヒミュラー空間;写像類群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20340014/
• Splittings of degenerafions of Riemann surfaces

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Shigeru TAKAMURA

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

  リーマン面の退化;分裂変形;特異点;モノドロミー;複素構造;複素曲面;モジューライ空間;テータ関数;モジュライ空間;複素構造の変形;データ関数, Riemann surface;splitting;simgularity;monodromy;complex stracture;complex surface;moduli;theta function

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540062/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Differential Geometry C

  0534, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Differential Geometry B

  0533, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Differential Geometry A

  0532, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Differential Geometry D

  0535, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 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

  Quest for Mathematics II

  N173, Spring, Institute for Liberal Arts and Sciences, 2
• 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

  Linear Algebra with Exercises A

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

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Differential Geometry C

  0534, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Differential Geometry B

  0533, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Differential Geometry A

  0532, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Differential Geometry D

  0535, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Quest for Mathematics II

  N173, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Differential Geometry C

  0534, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Differential Geometry D

  0535, Fall, Graduate School of Science, 3
• 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

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Calculus with Exercises B

  N150, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Geometry c

  0472, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Geometry d

  0437, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra with Exercises A

  N151, Spring, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Geometry d

  0473, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Geometry b

  0471, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Geometry a

  0434, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Geometry a

  0470, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Geometry b

  0435, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra with Exercises B

  N152, Fall, Institute for Liberal Arts and Sciences, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Geometry B

  0533, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Geometry A

  0532, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Differential Geometry c

  0436, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Quest for Mathematics II

  N173, Spring, Institute for Liberal Arts and Sciences, 2
• From Apr. 2011, To Mar. 2012

  位相幾何学

  Spring, 理学研究科
• From Apr. 2011, To Mar. 2012

  Linear Algebra A

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

  Linear Algebra B

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

  Advanced Calculus B

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

  位相幾何学

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

  Development of Mathematics - from basic to advanced B

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

  Advanced Calculus A

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

  Advanced Calculus B

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

  Linear Algebra A

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

  Linear Algebra A

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

  Linear Algebra B

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

  Exercises of Linear Algebra A

  Spring, 理学部
• From Apr. 2014, To Mar. 2015

  Exercises of Linear Algebra B

  Fall, 理学部
• From Apr. 2014, To Mar. 2015

  Seminar on Differential Geometry A

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

  Seminar on Differential Geometry B

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

  Seminar on Differential Geometry C

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

  Seminar on Differential Geometry D

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

  Seminar on Geometry C

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

  Seminar on Geometry D

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

  Linear Algebra B

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

  Development of Mathematics - from basic to advanced B

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

  Seminar on Differential Geometry A

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

  Seminar on Differential Geometry B

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

  Seminar on Differential Geometry C

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

  Seminar on Differential Geometry D

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

  Linear Algebra A

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

  Linear Algebra B

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

  Linear Algebra with Exercises B

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

  Seminar on Differential Geometry A

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

  Seminar on Differential Geometry B

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

  Seminar on Differential Geometry C

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

  Seminar on Differential Geometry D

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

  Seminar on Geometry A

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

  Seminar on Geometry B

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

  Linear Algebra B

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

  Linear Algebra with Exercises A

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

  Linear Algebra with Exercises B

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

  Seminar on Differential Geometry A

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

  Seminar on Differential Geometry B

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

  Seminar on Differential Geometry C

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

  Seminar on Differential Geometry D

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

  Seminar on Geometry C

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

  Seminar on Geometry D

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

  Linear Algebra with Exercises A

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

  Linear Algebra with Exercises B

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

  Seminar on Differential Geometry a

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

  Seminar on Differential Geometry b

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

  Seminar on Differential Geometry c

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

  Seminar on Differential Geometry d

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

  Linear Algebra with Exercises A

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

  Linear Algebra with Exercises B

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

  Exercises in Geometry I

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

  Seminar on Differential Geometry a

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

  Seminar on Differential Geometry b

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

  Seminar on Differential Geometry c

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

  Seminar on Differential Geometry d

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

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2019, To Mar. 2020

  Linear Algebra with Exercises B

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

  Exercises in Geometry I

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

  Advanced Geometry I

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

  Topics in Geometry A

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

  Seminar on Differential Geometry a

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

  Seminar on Differential Geometry b

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

  Seminar on Differential Geometry c

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

  Seminar on Differential Geometry d

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

  Seminar on Geometry a

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

  Seminar on Geometry b

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

  Quest for Mathematics I

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

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Exercises in Geometry II

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

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Seminar on Differential Geometry a

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

  Seminar on Differential Geometry b

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

  Seminar on Differential Geometry c

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

  Seminar on Differential Geometry d

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

  Seminar on Geometry c

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

  Seminar on Geometry d

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

  Quest for Mathematics II

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Linear Algebra with Exercises B

  Fall, 全学共通科目

Administration

Faculty management (title, position)

• From 01 Apr. 2023, To 31 Mar. 2025

  理学研究科相談室運営委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学研究科人権擁護委員会委員
• From 20 Jan. 0004, To 21 0003

  理学研究科SACRA広報・社会連携部門委員会　基金運営小委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  理学研究科SACRA広報・社会連携部門委員会　基金運営小委員会委員
• From 01 Apr. 2021, To 31 Mar. 2022

  理学研究科人権擁護委員会委員