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Namikawa, Yoshinori

Research Institute for Mathematical Sciences (RIMS) Professor

Namikawa, Yoshinori
list
    Last Updated :2025/06/24

    Basic Information

    Affiliated programs (koza)

    • Graduate School of Science, 数学・数理解析専攻 解析数理講座, 教授

    Faculty

    • 理学部

    Academic Degree

    • 理学修士(京都大学)
    • 博士（理学）(京都大学)

    Language of Instruction

    • English

    ID,URL

    researchmap URL

    list
      Last Updated :2025/06/24

      Research

      Research Topics, Overview of the research

      • Research Topics

        Algebraic Geometry (Calabi-Yau varieties and complex symplectic varieties)

      • Overview of the research

        I am researching Calabi-Yau varieties and complex symplectic
        varieties by using birational geometry, deformation theory, derived
        categories and Poisson geometry.

      Papers

      • On the structure of homogeneous symplectic varieties of complete intersection
        Yoshinori Namikawa
        INVENTIONES MATHEMATICAE, Jul. 2013, Peer-reviewed
      • Equivalence of symplectic singularities
        Yoshinori Namikawa
        Kyoto Journal of Mathematics, Jun. 2013, Peer-reviewed
      • Slodowy slices and universal Poisson deformations
        M. Lehn; Y. Namikawa; Ch. Sorger
        COMPOSITIO MATHEMATICA, Jan. 2012, Peer-reviewed
      • POISSON DEFORMATIONS OF AFFINE SYMPLECTIC VARIETIES
        Yoshinori Namikawa
        DUKE MATHEMATICAL JOURNAL, Jan. 2011, Peer-reviewed
      • Poisson deformations and birational geometry
        Yoshinori Namikawa
        J. Math. Sci. Univ. Tokyo, 22 (2015) 339-359, Peer-reviewed
      • Birational geometry for nilpotent orbits
        Yoshinori Namikawa
        Adv. Lect. Math. 26 (2013) 1-38, Peer-reviewed

      Presentations

      • A finiteness theorem for symplectic singularities
        Yoshinori Namikawa
        Representation theory and geometry of symplectic resolutions, Northeastern Univ. USA, May 2015, Invited
      • A characterization of nilpotent varieties of complex semisimple Lie algebras
        Yoshinori Namikawa
        Complex geometry and Lie groups, Univ. Torino, Italy, Jun. 2014, Invited
      • Poisson deformations and Mori dream spaces
        Yoshinori Namikawa
        Classification of algebraic varieties and related topics, Cetraro, Italy, 12 Sep. 2013, Invited
      • Symplectic varities of complete intersection and contact geometry
        Hyperkahler geometry, 02 Nov. 2012, Simons centre, Stony Brook, USA, Invited
      • On the structure of homogeneous symplectic varieties of complete intersection
        Singularities, 27 Sep. 2012, Oberwolfach Math Institute, Germany, Invited
      • Symplectic varieties of complete intersection and contact geometry
        Representation theory and symplectic algebraic geometry, 09 Jul. 2012, CIRS, Luminy, France, Invited
      • Symplectic varieties of complete intersection and contact geometry
        Holomorphic symplectic manifolds and moduli spaces, 12 Jun. 2012, Fourier Institute, Grenpble, France, Invited
      • On the structure of homogeneous symplectic varieties of complete intersection
        Advances in hyperkahler and holomorphic symplectic geometry, 13 Mar. 2012, Banff International Research Station, Canada, Invited

      Awards

      • 26 Mar. 2008
        Mathematical Society of Japan, Algebra Prize
      • 01 Oct. 1996
        Mathematical Society of Japan, Takebe Prize

      External funds: Kakenhi

      • Symplectic algebraic geometry and moduli spaces
        Grant-in-Aid for Scientific Research (A)
        Medium-sized Section 11:Algebra, geometry, and related fields
        Kyoto University
        並河 良典
        From 05 Apr. 2021, To 31 Mar. 2026, Granted
        シンプレクティック代数幾何;超ケーラー多様体;モジュライ空間;シンプレクティック特異点;ポアソン変形;複素シンプレクティック多様体;双有理幾何;トーリック超ケーラー多様体;べき零軌道;小林-ヒッチン対応
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04429/
      • Towards the theory of Algbebraic Symplectic Geometry
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Yoshinori Namikawa
        From 01 Apr. 2017, To 31 Mar. 2021, Project Closed
        シンプレクティック代数多様体;錐的シンプレクティック多様体;ポアソン変形;双有理幾何;シンプレクティック特異点解消;べき零軌道;シンプレクティック特異点;ベキ零軌道;超トーリック多様体;シンプレクティック双対性;複素シンプレクティック多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H02833/
      • New development of algebraic geometry viewed from theoretical physics
        Grant-in-Aid for Scientific Research (S)
        Kyoto University
        Atsushi Moriwaki
        From 31 May 2016, To 31 Mar. 2021, Project Closed
        代数幾何学;数理物理学;アラケロフ幾何学;シンプレクティック特異点;解析的捩率;カラビ・ヤウ多様体;超ケーラー多様体;量子コホモロジー;微分幾何学;複素幾何学;ゲージ理論;数論多様体;シンプレクティック多様体;代数多様体;シンプレティック多様体;数理物理;代数学;幾何学;モジュライ空間;数論幾何学;理論物理学;表現論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H06335/
      • Symplectic Algebraic Geometry
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Yoshinori Namikawa
        From 01 Apr. 2013, To 31 Mar. 2017, Project Closed
        シンプレクティック特異点;ポアソン変形;双有理幾何;ポアソン幾何;複素シンプレクティック幾何;べき零軌道;複素接触幾何;複素シンプレクティック多様体;複素接触多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25287003/
      • Moduli spaces of algebraic varieties and self-morphisms
        Grant-in-Aid for Scientific Research (S)
        Kyoto University
        Shigeru Mukai
        From 31 May 2013, To 31 Mar. 2018, Project Closed
        代数幾何学;複素幾何;複素力学系;表現論;アラケロフ幾何;幾何学的群論;エンリケス曲面;クレモナ変換;直交型モジュラー多様体;力学的次数;複素多様体の変形;離散群とコホモロジー次元;代数学;モジュライ;カラビ・ヤウ多様体;クラスター代数;K3曲面;算術的多様体;モジュライ空間;CalabiYau多様体;Enriques曲面;Calabi-Yau多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25220701/
      • Developments in Interactions between Algebraic Geometry and Integrable Systems
        Grant-in-Aid for Scientific Research (S)
        Kobe University
        Masa-Hiko Saito
        From 31 May 2012, To 31 Mar. 2017, Project Closed
        可積分系;パンルヴェ方程式;相空間;モジュライ空間;モノドロミー保存変形;量子コホモロジーとミラー対称性;リーマン・ヒルベルト対応;Floer 理論;パンルヴェ型方程式;混合ツイスターD加群;Floer理論;量子コホモロジーとミラー 対称性;Bridgeland安定性;モジュライ理論;国際研究者交流（フランス、ハンガリー）;国際情報交換;国際研究者交流
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24224001/
      • Analytic torsion and geometry
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Ken-Ichi Yoshikawa
        From 01 Apr. 2011, To 31 Mar. 2016, Project Closed
        解析的捩率;保型形式;モジュライ空間;K3曲面;Calabi-Yau多様体;BCOV不変量;Borcherds積;対合付きK3曲面;Borcherds Φ-関数;Calabi-Yau軌道体;ボルチャーズΦ-関数;国際研究者交流;BorcherdsΦ関数;Enriquies曲面;Thomae公式
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23340017/
      • Constructions and developments of geomerty on moduli spaces and arithmetic varieties
        Grant-in-Aid for Scientific Research (A)
        Kyoto University
        Atsushi MORIWAKI
        From 01 Apr. 2010, To 31 Mar. 2015, Project Closed
        代数幾何学;モジュライ空間;数論幾何学;解析的捩率;複素幾何;算術的力学系;半正定値;エンリケス曲面;交叉コホモロジー群;ポアソン変形;解析的捩率不変量;混合ツイスターD加群;算術多様体;導来圏;アラケロフ幾何;双有理幾何;ベクトル束;ザリスキ分解;手鋸箙多様体;シンプレクティック多様体;BorcherdsΦ関数;調和バンドル;ルート系;ディリクレの単数定理;箙多様体;ドリーニュ・マルグランジュ格子
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22244003/
      • The geometry of complex symplectic varieties
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Yoshinori NAMIKAWA
        From 01 Apr. 2009, To 31 Mar. 2013, Project Closed
        複素シンプレクティック多様体;ポアソン変形;双有理幾何;べき零多様体;接触構造;シンプレクティック特異点;べき零軌道;接触幾何;Slodowy切片;シンプレクティック超曲面;スロードウィースライス;ポアソン幾何;特異点解消
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21340005/
      • Various problems related to the classification in higher dimensional birational geometry
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Shigefumi MORI
        From 01 Apr. 2008, To 31 Mar. 2013, Project Closed
        Q コニック束;因子収縮射;フリップ収縮射;反標準線形系;Du Val 特異点;端末特異点;特異点解消;極小モデルプログラム;Qコニック束;一般象予想;Du Val特異点;端収縮射;Qデルペゾ束;デュバル特異点;Qファノ多様体;特異ファイバー;アルゴリズム
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20340005/
      • Geometrtic structures defined by differential forms (Topological Calibrations)
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Ryushi GOTO
        From 01 Apr. 2007, To 31 Mar. 2010, Project Closed
        カラビーヤオ多様体;変形理論;一般化された幾何構造;双エルミート構造;一般化されたケーラー構造;ポアソン構造;リッチ平坦計量;アインシュタイン-佐々木多様体;一般化された複素構造;超ケーラー多様体;アインシュタインー佐々木多様体;幾何構造;一般化された複素多様体;ポアソン多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540079/
      • Analytic torsion and geometry of moduli spaces
        Grant-in-Aid for Scientific Research (B)
        Kyoto University;The University of Tokyo
        Kenichi YOSHIKAWA
        From 01 Apr. 2007, To 31 Mar. 2012, Project Closed
        複素解析幾何;解析的捩率;中野半正ベクトル束;半安定還元;ガウス写像;ボルチャーズφ関数;トマエ公式;チョウラ・セルバーグ公式;K3曲面;Calabi-Yau多様体;Borcherds積;モジュライ空間;保型形式;楕円モジュラー関数;BorcherdsΦ-関数;Kummer 曲面;楕円j関数;BorcherdsΦ関数;カラビ・ヤウ多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340016/
      • Theory of log mixed Hodge structures and its applications to geometry
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Sampei USUI
        From 01 Apr. 2007, To 31 Mar. 2011, Project Closed
        ホッジ理論;モジュライ;混合対数的ホッジ構造;混合版SL(2)軌道;混合版ボレル・セールコンパクト化;カラビ・ヤウ多様体;トレリ定理;ネロンモデル;対数的混合ホッジ構造;混合版冪零軌道の空間;対数的中間ヤコビ多様体;混合版SL(2)-軌道の空間;角付多様体;2次元特異点;非クーラー曲面;混合対数ホッジ構造;一般大域的トレリ定理;対数的ネロンモデル;分類空間;混合版SU(2)-軌道の空間;退化;ツイスター空間;対数的ホッジ構造の分類空間;混合版SL(2)軌道定理;混合版ボレル・セール コンパクト化;一般大域的トレッリ定理;対数的ピカール多様体;対数的局所系の高次準像;曲面上の非零有効因子;log Hodge構造の分類空間;混合log Hodge構造;log周期写像;一般型多様体;Calabi-You多様体;大域的Torelli定理
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340008/
      • New developments and interaction between Algebraic Geometry and Integrable Systems
        Grant-in-Aid for Scientific Research (S)
        Kobe University
        Masa-hiko SAITO;Masahiko SAITO
        From 01 Apr. 2007, To 31 Mar. 2012, Project Closed
        可積分系;パンルヴェ方程式;相空間;モジュライ空間;量子コホモロジーとミラー対称性;極小モデル理論;高次元代数多様体;モノドロミー保存変形;複素力学系;ミラー対称性
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19104002/
      • Geometry of twistor spaces
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Akira FUJIKI
        From 01 Apr. 2006, To 31 Mar. 2009, Project Closed
        ツイスター空間;自己双対多様体;複素多様体;VII型曲面;井上曲面;反自己双対多様体;双エルミート構造
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18340017/
      • Complex symplectic varieties
        Grant-in-Aid for Scientific Research (B)
        Kyoto University;Osaka University
        Yoshinori NAMIKAWA
        From 01 Apr. 2006, To 31 Mar. 2009, Project Closed
        複素シンプレクティック多様体;ポアソン変形;双有理幾何;べき零軌道;向井フロップ;シンプレクティック特異点;複素単純リー環;スプリンガー特異点解消;末端特異点;複素シンプレフティック;高次元代数多様体;クレパント特異点解消;双有理代数幾何;変形
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18340009/
      • Various Problems on the Classification in Higher Dimensional Birational Geometry
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Shigefumi MORI
        From 01 Apr. 2004, To 31 Mar. 2008, Project Closed
        Qコニック束;K3曲面;端末特異点;因子収縮射;フロップ;複素シンプレクティック多様体;ファノ多様体;極小モデル理論;端射線;del Pezzo曲面;逆同伴;乗数イデアル;ポアソン変形;モジュライ空間;シンプレクテイック特異点;変形;対数的標準特異点;b関数;フリップ;標準特異点;general elephant予想;因子収縮写像;導来圏;Fano多様体;Zariski分解;Chow群, Q-conic bundle;K3 surface;Terminal singularity;divisorial contraction;flop;complex symplectic variety;Fano variety;minimal model theory
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340004/
      • コンパクト非ケーラー多様体の研究
        Grant-in-Aid for Exploratory Research
        Osaka University
        藤木 明
        From 01 Apr. 2003, To 31 Mar. 2006, Project Closed
        ケーラー多様体;複素構造;ファイバー束;ホップ多様体;井上曲面;超複素多様体;代数次元;群作用
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15654010/
      • Unified approach of Ricci-flat manifolds
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Ryushi GOTO
        From 01 Apr. 2003, To 31 Mar. 2006, Project Closed
        カラビ-ヤオ構造;超ケーラー構造;G_2構造;Spin(7)構造;幾何構造;変形理論;モジュライ空間;一般化された幾何構造;カラビーヤオ構造;カラビ・ヤオ多様体;超ケーラー多様体;G_2多様体;シンプレクティク多様体;Spin(7)多様体, Calabi-Yau structure;hyperK"ahler structure;G_2 structure;Spin(7) structure;geometric structure;Deformations;Moduli spaces;generalized structure
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15540070/
      • Research on Application of Computer Algebra to Algebraic Geometry
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Masaki MARUYAMA
        From 01 Apr. 2003, To 31 Mar. 2007, Project Closed
        計算機代数;ベクトル束;丹後束;安定ベクトル束;射影空間;変形;コホモロジー;還元列;障害理論;Singular;安定層;丹後バンドル;ドナルドソン多項式;モデュライ, computer algebra;vector bundle;Tango bundle;stable vector bundle;projective space
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15540024/
      • Geometry of twistor spaces
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Akira FUJIKI
        From 01 Apr. 2003, To 31 Mar. 2006, Project Closed
        ツイスター空間;自己双対計量;超ケーラー多様体;複素多様体;代数次元;スカラー曲率;VII型曲面;井上曲面;自己双対多様体;群作用;Douady空間, twistor space;self-dual metric;hyperkahler manifold;complex manifold;algebraic dimension;scalar curvature;surface of type VII;Inoue surface
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15340022/
      • Complex symplectic varieties and derived categories
        Grant-in-Aid for Scientific Research (B)
        Osaka University;Kyoto University
        Yoshinori NAMIKAWA
        From 01 Apr. 2003, To 31 Mar. 2006, Project Closed
        導来圏;複素シンプレクティック多様体;変形;向井フロップ;べき零軌道;双有理幾何;Poisson変形;変形理論;フロップ;複素シンプレクティック多様性;シンプレクティック特異点;複素単純リー環, derived categories;complex symplectic variety;deformation;Mukai flop;nilpotent orbit;birational geometry
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15340008/
      • Etale endomorphisms of algebraic varieties
        Grant-in-Aid for Scientific Research (B)
        Kwansei Gakuin University;Osaka University
        Masayoshi MIYANISHI
        From 01 Apr. 2001, To 31 Mar. 2004, Project Closed
        不分岐自己準同型射;Q-ホモロジー平面;群作用と代数曲面;ツイスター空間;グレブナー基底;計算代数;トロイダル・コンパクト化;pretzelリンク;普遍被覆;アフィン擬平面;BMO関数;link;Jones多項式;加法群スキーム;シンプレクティック多様体;Moishezoh-Kahler空間;代数曲面;代数曲線束;半群環;極小自由分解;Makar-Limanov不変量;開代数曲面;対数的del pezzo曲面;Calabi-Yau多様体;グレーブナー基底, Etale endomorphism;Q-homology planes;Algebraic surfacees with group actions;Twister spaces;Groebner basis;Computational algebras;Toroidal compactification;pretzel link
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13440009/
      • Geometry of twistor spaces
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Akira FUJIKI
        From 01 Apr. 2000, To 31 Mar. 2003, Project Closed
        ツイスター空間;自己双対多様体;複素多様体;代数次元;スカラー曲率;群作用;Douady空間;ハイパーケーラー多様体;Einstein-Weyl幾何;モジュライ空間, twistor space;self-dual manifold;complex manifold;algebraic dimension;scalar curvature;group action;Doady space;hyperkahler manifold
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440019/
      • Algebraic vaieties with Kodaira dimansion O and A generalization of the Bogomolor-decomposition
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Yoshinori NAMIKAWA
        From 01 Apr. 2000, To 31 Mar. 2003, Project Closed
        複素シンプレクティック多様体;導来圏;変形理論;特異点;同期;トレリ型問題;高次元代数多様体;カラビ・ヤウ多様体;トレリ問題;モジュライ空間;カラビーヤウ多様体;双有理幾何;基本群;倉西空間, Complex symplectic variety;derived category;deformation theory;singularity;Period;Torelli problem;higher dimmsional algebraic varieries
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440007/
      • Classification problems in Higher Dimensional Birational Geometry
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY
        Shigefumi MORI
        From 01 Apr. 2000, To 31 Mar. 2004, Project Closed
        flip;flop;Fano 3-fold;canonical divisor;symplectic variety;extremal neighborhood;elliptic structure;terminal singularity;symplectic singularity;invariants;monodromy;derived category;K3 surface;complex symplectic structure;Painleve equation;Calabi-Yau threefold;deformation theory;cononical bundle;Calabi-Yau 3-fold;Gorenstein singularity;eliptic surface;端末特異点;端射線;Fano多様体;シンプレクティック多様体;フリップ;Painleve微分方程式;ケーラー錐;K3曲面, flip;flop;Fano 3-fold;canonical divisor;symplectic variety;extremal neighborhood;elliptic structure;terminal singularity
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440005/
      • Hyper Kahler manifolds
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Ryushi GOTO
        From 01 Apr. 1999, To 31 Mar. 2002, Project Closed
        超ケーラー多様体;カラビ・ヤオ多様体;G_2多様体;Spin(7)多様体;Calabi-Yau多様体;G_2-多様体;Spin(7)-多様体;モノポール;G2多様体;ミラー対称性, Hyper Kahler manifolds;Calabi-Yau manifolds;G_2 manifolds;Spin(7) manifolds
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640076/
      • Hyperkahler計量と開代数多様体
        Grant-in-Aid for Exploratory Research
        Osaka University
        藤木 明
        From 01 Apr. 1998, To 31 Mar. 2000, Project Closed
        hyperkahler多様体;開代数多様体;twistor空間;コンパクト化;エルミート対称空間;twistor line;del Pezzo曲面;ハイバーケーラー計量;ラグランジュ部分多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10874014/
      • カラビーヤウ多様体のモジュライ空間、双有理構造の研究
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Osaka University
        並河 良典
        From 01 Apr. 1998, To 31 Mar. 2000, Project Closed
        カラビーヤウ多様体;複素シンプレクティック多様体;変形理論;モジュライ空間;シンプレクティック多様体;カラビ-ヤウ多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10740019/
      • Geometry of twistor space
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Akira FUJIKI
        From 01 Apr. 1998, To 31 Mar. 2000, Project Closed
        自己双対多様体;twistor空間;群作用;Joyce予想;複素多様体;toric曲面;代数次元;楕円ファイバー空間;Twistor空間;ツイスター空間;自己双対計量;ハイパーケーラー計量, self-dual manifold;twistor space;group action;Joyce conjecture;complex manifold;toric surface;algebraic dimension;elliptic fiber space
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10440020/
      • Projective structures on compex manifolds
        Grant-in-Aid for Scientific Research (C)
        Sophia University
        Masahide KATO
        From 01 Apr. 1997, To 31 Mar. 2000, Project Closed
        複素多様体;射影構造;Gauduchon metric;Hartogs domain;non-Kahler;葉層構造;Weyl curvature teusor;Chern forms;Characteristic forms;projective connections;正則写像;Gauduchonメトリック;特異ファイバー;正則拡張性, complex manifold;projective structure;Gauduchon metric;Hartogs domain;non-Kahler;extension peoblem
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640129/
      • Studies on Representations of Finite Groups and Applications
        Grant-in-Aid for Scientific Research (C)
        Sophia University
        Ken-ichi SHINODA
        From 01 Apr. 1997, To 31 Mar. 2000, Project Closed
        character sum;gaussian sum;kloosterman sum;unitary kloosterman sum;Gelfand-Graev representation;almost character;Hilbert scheme of G-orbit;coinvariant algebra;Character sum;unitary Kloosterman sum;Gelfand-Gracv representation;有限簡約代教群;指標和;余不変式環;ガウス和;SL(3,C)の有限部分群;有限簡約代数群;ヒルベルトスキーム;クルスターマン和;中単指標, character sum;gaussian sum;Kloosterman sum;unitary Kloosterman sum;Gelfand-Graev representation;almost character;Hilbert scheme of G-orbit;coinvariant algebra
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640063/
      • Foundation of computational Commutative algebra with a view toward combinatorics on convex polytopes
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Takayuki HIBI
        From 01 Apr. 1997, To 31 Mar. 1999, Project Closed
        componentwise linear;generic initial ideal;Cohen-Macaulay環;squarefree monomial;lexsegment ideal;graded Betti number;多項式環;Kruskal-katona定理;Componentwise linear;h-三角形;単体的複体;Stanley-Reisner ideal;Cohen-Macaulay;次数付ベッチ数列;双対複体;凸多面体;有限自由分解;外積代数;グレブナ-基底;三角形分割;Hilbert函数;Gorenstein環, componentwise linear;generic initial ideal;Cohen-Macaulay ring;squaretree inonomial;lexsegment ideal;graded Betti number;polynomial ring;Kruskal-Katona thearem
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440013/
      • Rational Curves on Algebraic Varieties
        Grant-in-Aid for Scientific Research (B)
        Osaka University
        Masayoshi MIYANISHI
        From 01 Apr. 1997, To 31 Mar. 2000, Project Closed
        代数多様体;アフィン空間;ジャコビアン予想;ホモロジー平面;有限グラフ;ツィスター空間;Calabi-Yau多様体;位相的不変量;開代数曲面;群作用;組み合わせ論;自己同型写像;3次元多様体;平面アフィン曲線;次数最小埋め込み;不変式;有限生成性;アルゴリズム;Kontsevich不変量;強擬凸領域, Algebraic variety;Affine space;Jacobian Conjecture;Homology plane;Finite graph;Twistor space;Calabi-Yau manifold;topological invariant
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440012/
      • 階別リー環とその応用
        Grant-in-Aid for Scientific Research (C)
        Sophia University
        金行 壮二
        From 01 Apr. 1996, To 31 Mar. 1997, Project Closed
        階別リー環;オメガ領域;パラケーラー多様体;リー環の双極化;対称空間;カラビ・ヤウ多様体;四元数ケーラー多様体;一般化された共形構造
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640138/
      • 対称空間の幾何学的理論とその応用
        Grant-in-Aid for Scientific Research (C)
        Sophia University
        長野 正
        From 01 Apr. 1996, To 31 Mar. 1997, Project Closed
        対称空間;反自己双対接続;双極化;g-指数
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640137/
      • 複素多様体上の射影構造
        Grant-in-Aid for General Scientific Research (C)
        Sophia University
        加藤 昌英
        From 01 Apr. 1995, To 31 Mar. 1996, Project Closed
        射影構造;共形構造;葉層構造;特性類;Schttky空間;タイヒミュラー空間
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640138/
      • 複素解析的高次元クライン群理論の試み
        Grant-in-Aid for General Scientific Research (C)
        Sophia University
        加藤 昌英
        From 01 Apr. 1994, To 31 Mar. 1995, Project Closed
        射影構造;Klein群;flat twistor空間;Combination theorem
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640169/
      • Calabi-Yau多様体のmoduli空間
        Grant-in-Aid for Scientific Research on Priority Areas
        Sophia University
        並河 良典
        From 01 Apr. 1994, To 31 Mar. 1996, Project Closed
        Calabi-Yau多様体;moduli空間;変形理論;Hodge理論;特異点理論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06221263/
      • 複素解析的な高次元クライン群理論の試み
        Grant-in-Aid for General Scientific Research (C)
        Sophia University
        加藤 昌英
        From 01 Apr. 1993, To 31 Mar. 1994, Project Closed
        極限集合;クライン群;twistor空間;射影接続;射影構造;双曲多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05640130/
      • 代数群の表現とその応用
        Grant-in-Aid for General Scientific Research (C)
        Sophia University
        筱田 健一
        From 01 Apr. 1993, To 31 Mar. 1994, Project Closed
        F_4型Chevalley群;巾学指標値;Lusztig予想;Hecke環
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05640062/
      • Calabi-Yau多様体の研究
        Grant-in-Aid for Scientific Research on Priority Areas
        Sophia University
        並河 良典
        From 01 Apr. 1993, To 31 Mar. 1995, Project Closed
        Calabi-Yau多様体;モジュライ空間;倉西空間;smoothing;terminal特異点
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05230053/
      • 階別リー環の幾何学
        Grant-in-Aid for General Scientific Research (C)
        Sophia University
        金行 壯二
        From 01 Apr. 1992, To 31 Mar. 1993, Project Closed
        階別リー環;ジョルダン代数;パラケーラー構造;リー環の中の双極化;p調和写像;頂点作用素;正則共形構造;カラビ・ヤウ多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04640097/
      • 階別リ-環の幾何学
        Grant-in-Aid for General Scientific Research (C)
        Sophia University
        金行 壯二
        From 01 Apr. 1990, To 31 Mar. 1991, Project Closed
        階別リ-環;擬ケ-ラ-対称空間;ジ-ゲル領域;互いに可換な対合;パラケ-ラ-構造;双極化;大域的強擬凸超曲面;カラビ・ヤウ多様体
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02804003/
      list
        Last Updated :2025/06/24

        Education

        Teaching subject(s)

        • From 01 Apr. 2025, To 31 Mar. 2026
          Special study course (Mathematical Science)
          5140, Year-long, Faculty of Science, 12
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Geometry and Related Topics b
          1340, Fall, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Geometry and Related Topics a
          1339, Spring, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Geometry and Related Topics d
          1342, Fall, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Geometry and Related Topics c
          1341, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry and Related Topics b
          1340, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry and Related Topics a
          1339, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry and Related Topics d
          1342, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Geometry and Related Topics c
          1341, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Invitation to Modern Mathematics and Mathematical Sciences
          N114, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Geometry and Related Topics d
          1342, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Geometry and Related Topics c
          1341, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Geometry and Related Topics b
          1340, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Geometry and Related Topics a
          1339, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Invitation to Modern Mathematics and Mathematical Sciences
          N114, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Special study course (Mathematical Science)
          5140, Year-long, Faculty of Science, 12
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry and Related Topics b
          1340, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry and Related Topics c
          1341, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry and Related Topics a
          1339, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Geometry and Related Topics d
          1342, Fall, Graduate School of Science, 3
        • From Apr. 2011, To Mar. 2012
          数学基盤研究　代数学C
          Spring, 理学研究科
        • From Apr. 2011, To Mar. 2012
          数学基盤研究　代数学D
          Fall, 理学研究科
        • From Apr. 2011, To Mar. 2012
          代数学Ｉ
          Spring, 理学部
        • From Apr. 2011, To Mar. 2012
          数学講究
          Year-long, 理学部
        • From Apr. 2012, To Mar. 2013
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2013, To Mar. 2014
          Advanced Algebra I
          Fall, 理学部
        • 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
          Introduction to Algebra
          Fall, 理学部
        • From Apr. 2014, To Mar. 2015
          Algebraic Geometry
          Spring, 理学部
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebraic Geometry A
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebraic Geometry B
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebraic Geometry C
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebraic Geometry D
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebra A
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebra B
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Algebraic Geometry
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Linear Algebra
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Algebra I
          Spring, 理学部
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebraic Geometry A
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebraic Geometry B
          Fall, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebraic Geometry C
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebraic Geometry D
          Fall, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebra C
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebra D
          Fall, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2016, To Mar. 2017
          Algebra I
          Spring, 理学部
        • From Apr. 2016, To Mar. 2017
          Seminar on Algebraic Geometry A
          Spring, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Algebraic Geometry B
          Fall, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Algebraic Geometry C
          Spring, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Algebraic Geometry D
          Fall, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Algebraic Geometry
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Algebraic Geometry
          Spring, 理学部
        • From Apr. 2017, To Mar. 2018
          Seminar on Algebraic Geometry A
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Algebraic Geometry B
          Fall, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Algebraic Geometry C
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Algebraic Geometry D
          Fall, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2018, To Mar. 2019
          Seminar on Algebraic Geometry a
          Spring, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Algebraic Geometry b
          Fall, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Algebraic Geometry c
          Spring, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Algebraic 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
          Seminar on Algebraic Geometry a
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Algebraic Geometry b
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Algebraic Geometry c
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Algebraic Geometry d
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Linear Algebra with Exercises A
          Spring, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Linear Algebra with Exercises B
          Fall, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Algebra I
          Spring, 理学部
        • From Apr. 2020, To Mar. 2021
          Seminar on Algebraic Geometry and Related Topics a
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Algebraic Geometry and Related Topics b
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Algebraic Geometry and Related Topics c
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Algebraic Geometry and Related Topics d
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Special study course (Mathematical Science)
          Year-long, 理学部
        • From Apr. 2021, To Mar. 2022
          Seminar on Algebraic Geometry and Related Topics a
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Algebraic Geometry and Related Topics b
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Algebraic Geometry and Related Topics c
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Algebraic Geometry and Related Topics 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
          Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences
          Spring, 全学共通科目

        Participation in PhD Defense

        • The m-step solvable Grothendieck conjecture for affine hyperbolic curves over finitely generated fields
          YAMAGUCHI NAGANORI, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2023
        • Some inequalities between Ahlfors regular conformal dimension and spectral dimensions for resistance forms
          SASAYA KOHEI, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2023
        • The pro-■ anabelian geometry of number fields
          SHIMIZU RYOJI, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2023
        • Locally Defined Independence Systems on Graphs
          AMANO YUKI, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2023
        • A study on the pro-p outer Galois representations associated to once-punctured CM elliptic curves for ordinary primes
          ISHII SHUN, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2023
        • Modeling Approach to Transient Behaviors in Miscible Fluids with Two Layers
          ISHIKAWA TOSHIO, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2023
        • Affine super Yangians and rectangular W-superalgebras
          UEDA MAMORU, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        • ON THE FEIGIN-TIPUNIN CONJECTURE
          SUGIMOTO SHOMA, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        • The universal covers of hypertoric varieties and Bogomolov’s decomposition
          NAGAOKA TAKAHIRO, Graduate School of Science, Chief Examiner
          23 Mar. 2022
        list
          Last Updated :2025/06/24

          Administration

          School management (title, position)

          • From 01 Apr. 2025, To 31 Mar. 2027
            図書館協議会 協議員
          • From 01 Apr. 2025, To 31 Mar. 2027
            図書館協議会図書館資料整備特別委員会 委員
          • From 01 Apr. 2024, To 31 Mar. 2026
            数理解析学系 学系長
          • From 01 Apr. 2023, To 31 Mar. 2025
            図書館協議会 協議員
          • From 01 Apr. 2023, To 31 Mar. 2025
            図書館協議会図書館資料整備特別委員会 委員
          • From 01 Apr. 2022, To 31 Mar. 2023
            京都大学スーパーグローバルコース実施運営協議会 委員
          • From 20 Nov. 2012, To 31 Mar. 2013
            教員活動評価ワーキンググループ　委員
          • From 20 Nov. 2012, To 31 Mar. 2013
            教員活動評価ワーキンググループ 委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            スーパーグローバルコース企画運営幹事会 委員
          • From 01 Apr. 2018, To 31 Mar. 2023
            スーパーグローバルコース実施運営協議会 委員
          • From 01 Apr. 2020
            スーパーグローバルコース企画運営幹事会 委員
          • From 01 Apr. 2019, To 31 Mar. 2021
            スーパーグローバルコース実施運営協議会 協議員
          • From 01 Apr. 2021, To 31 Mar. 2022
            京都大学学際融合教育研究推進センタースーパーグローバルコース数学系ユニット 構成員
          • From 01 Apr. 2021, To 31 Mar. 2022
            スーパーグローバルコース企画運営幹事会 協議員

          Faculty management (title, position)

          • From 01 Apr. 2023
            数理解析研究所図書委員会　委員長
          • From 01 Sep. 2023, To 31 Aug. 2025
            運営委員会委員長
          • From 01 Apr. 2022, To 31 Mar. 2023
            理学研究科数学・数理解析専攻連絡会構成員
          • From 2220, To 31 Mar. 2023
            理学研究科数学・数理解析専攻　数理解析系主任
          • From 01 Apr. 2022, To 31 Mar. 2023
            理学研究科大学院教育教務委員会委員
          • From 01 Apr. 2014, To 31 Mar. 2015
            理学研究科図書・出版委員会委員
          • From 01 Apr. 2015, To 31 Mar. 2016
            理学部・教育委員会委員
          • From 01 Apr. 2016, To 31 Mar. 2017
            理学部・教育委員会委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            理学部・教育委員会委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            理学部・教育委員会　少人数担任委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            理学部・教育委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            理学部・教育委員会　入試専門小委員会委員
          • From 01 Apr. 2017, To 31 Mar. 2019
            理学部・教育委員会　少人数担任委員会委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            理学研究科研究科会議構成員
          • From 01 Apr. 2019, To 31 Mar. 2020
            理学部・教育委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            理学部・教育委員会　入試専門小委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            理学研究科大学院教育教務委員会委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            理学研究科研究科会議構成員
          • From 01 Apr. 2021, To 31 Mar. 2022
            数理解析研究所　副所長
          • From 01 Apr. 2021, To 31 Mar. 2022
            予算委員会　委員長
          • From 01 Apr. 2021, To 31 Mar. 2022
            建物・施設整備委員会 委員長

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