Basic Information

Faculty

• 理学部

Professional Memberships

• 日本数学会
• Mathematical Society of Japan

Academic Degree

• 修士（理学）(京都大学)
• 博士（理学）(名古屋大学)

Academic Resume (Graduate Schools)

• 京都大学, 大学院理学研究科修士課程数理解析専攻, 修了

Research History

• From 1992, To 1999

  Nagoya University
• From 1992, To 1999

  Nagoya University, Research Assistant
• The University of Tokyo Graduate School of Mathematical Sciences, Global Geometry, Graduate School of Mathematical Sciences, Associate professor

Language of Instruction

• English

ID,URL

• J-Global ID

  200901041602743973

researchmap URL

• https://researchmap.jp/yoshikawa_KI_math

Research

Research Topics, Overview of the research

• Research Topics

  Analytic torsion, Quillen metrics, and their applications to automorphic forms and moduli spaces

• Overview of the research

  (1) Construction of invariant for varieties of Calabi-Yau type by using analytic torsion
  (2) Determination of the analytic torsion invariant as an explicit function on the moduli space
  (3) Determination of the boundary behavior of analytic torsion
  (4) An algebraic expression for the Borcherds Phi-function
  
  

Research Interests

• 幾何学
• Geometry

Research Areas

• Natural sciences, Geometry
• Natural sciences, Algebra

Papers

• Analytic torsion for log-Enriques surfaces and Borcherds product

  Xianzhe Dai; Ken-Ichi Yoshikawa

  Forum of Mathematics, Sigma, 02 Sep. 2022, Peer-reviewed

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• K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant

  Shouhei Ma; Ken-Ichi Yoshikawa

  Compositio Mathematica, Oct. 2020, Peer-reviewed

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• K3 surfaces with involution and analytic torsion

  Ken-Ichi Yoshikawa

  Sugaku Expositions, 2020, Invited

  
• Resultants and the borcherds Φ-function

  Shu Kawaguchi; Shigeru Mukai; Ken Ichi Yoshikawa

  American Journal of Mathematics, Dec. 2018, Peer-reviewed

  
• Analytic torsion for Borcea-Voisin threefolds

  YOSHIKAWA Ken-ichi

  Progress in Mathematics, 2017, Peer-reviewed, Invited

  
• K3 surfaces with involution and analytic torsion

  YOSHIKAWA Ken-ichi

  数学, 2016, Peer-reviewed, Invited

  
• Degenerations of Calabi-Yau threefolds and BCOV invariants

  Ken-Ichi Yoshikawa

  INTERNATIONAL JOURNAL OF MATHEMATICS, Mar. 2015, Peer-reviewed

  
• K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) > 10

  Ken-Ichi Yoshikawa

  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Apr. 2013, Peer-reviewed

  
• A trinity of the Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  Springer Proceedings in Mathematics & Statistics, 2013, Peer-reviewed, Invited

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• The unirationality of the moduli spaces of 2-elementary K3 surfaces

  Shouhei Ma; K. I. Yoshikawa

  Proceedings of the London Mathematical Society, Oct. 2012, Peer-reviewed

  
• K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space III: The case r(M) ≥ 18

  Ken-Ichi Yoshikawa

  Mathematische Zeitschrift, 2012, Peer-reviewed

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• A divisor on the moduli space of curves associated to the signature of fibered surfaces (with an appendix by Kazuhiro Konno)

  Tadashi Ashikaga; Ken-Ichi Yoshikawa

  SINGULARITIES - NIIGATA - TOYAMA 2007, 2009, Peer-reviewed

  
• CALABI-YAU THREEFOLDS OF BORCEA-VOISIN, ANALYTIC TORSION, AND BORCHERDS PRODUCTS

  Ken-ichi Yoshikawa

  ASTERISQUE, 2009, Peer-reviewed, Invited

  
• ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS

  Hao Fang; Zhiqin Lu; Ken-Ichi Yoshikawa

  JOURNAL OF DIFFERENTIAL GEOMETRY, Oct. 2008, Peer-reviewed

  
• Real K3 surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Phi-function

  Ken-Ichi Yoshikawa

  MATHEMATISCHE ZEITSCHRIFT, Jan. 2008, Peer-reviewed

  
• Discriminant of certain K3 surfaces

  Ken-Ichi Yoshikawa

  REPRESENTATION THEORY AND AUTOMORPHIC FORMS, 2008, Peer-reviewed, Invited

  
• On the singularity of Quillen metrics

  Ken-Ichi Yoshikawa

  MATHEMATISCHE ANNALEN, Jan. 2007, Peer-reviewed

  
• Analytic torsion and an invariant of Calabi-Yau threefold

  Ken-Ichi Yoshikawa

  Differential Geometry and Physics, 2006, Invited

  
• Complex curves of genus three, Kummer surfaces and Quillen metrics

  S Kawaguchi; KI Yoshikawa

  MANUSCRIPTA MATHEMATICA, Oct. 2005, Peer-reviewed

  
• Isolated critical points and adiabatic limits of Chern forms

  YAMADA YOSHIKAWA Atsuko; YOSHIKAWA Ken-ichi

  S\'eminaires & Congr\`es, 2005, Peer-reviewed, Invited

  
• Analytic torsion and automorphic forms on the moduli space

  YOSHIKAWA Ken-Ichi

  Sugaku Exposition, 2004, Invited

  
• K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space

  KI Yoshikawa

  INVENTIONES MATHEMATICAE, 2004, Peer-reviewed

  
• Nikulin's $K3$ surfaces, adiabatic limit of equivariant analytic torsion, and the Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  Advanced Studies in Pure Math., 2004, Peer-reviewed, Invited

  
• Discriminant of theta divisors and quillen metrics

  KI Yoshikawa

  JOURNAL OF DIFFERENTIAL GEOMETRY, May 1999, Peer-reviewed

  
• Smoothing of Isolated hypersurface singularities and Quillen metrics

  YOSHIKAWA Ken-Ichi

  Asian Journal of Mathematics, 1998, Peer-reviewed

  
• Degeneration of algebraic manifolds and the spectrum of Laplacian

  K Yoshikawa

  NAGOYA MATHEMATICAL JOURNAL, Jun. 1997, Peer-reviewed

  
• On the spectral zeta functions of K\"ahler varieties with conical singularities

  YOSHIKAWA Ken-Ichi

  Geometric Complex Analysis, 1996, Peer-reviewed, Invited

  
• On the residue of the spectral zeta functions of K\"ahler manifolds with conical singularities

  YOSHIKAWA Ken-Ichi

  Journal of Differential Geometry, Peer-reviewed

  

Misc.

• 解析的トーションと三次元 CALABI-YAU多様体の不変量(Analytic Geometry of the Bergman Kernel and Related Topics)

  吉川 謙一

  数理解析研究所講究録, May 2006

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• A DUALITY BETWEEN $K3$ AND DEL PEZZO SURFACES? (Representation Theory and Analysis on Homogeneous Spaces)

  YOSHIKAWA KEN-ICHI

  RIMS Kokyuroku Bessatsu, Apr. 2008

  
• COMPLEX CURVES OF GENUS 3, KUMMER SURFACES, AND QUILLEN METRICS (Automorphic Forms and their Dirichlet series)

  Kawaguchi Shu; Yoshikawa Ken-ichi

  RIMS Kokyuroku, Aug. 2002

  Access this misc :

  

Presentations

• Degeneration of Riemann surfaces and small eigenvalues of Laplacian

  Ken-Ichi Yoshikawa

  Analytic torsion and interactions, Universit ̈at Mu ̈nster, Germany, 02 Sep. 2024, Invited

  
• Degeneration of Riemann surfaces and small eigenvalues of Laplacian

  Ken-Ichi Yoshikawa

  Frexit 2024, Charm- ers University and Varbergs Kusthotell, 13 Jun. 2024, Invited

  
• Degeneration of Riemann surfaces and small eigenvalues of Laplacian

  Ken-Ichi Yoshikawa

  Index Theory and Complex Geometry Part 2 Institute for Mathematical Sciences, National University of Singapore, 06 May 2024, Invited

  
• カラビ・ヤウ型多様体に対する解析的捩率

  吉川謙一

  日本数学会 総合講演, 大阪公立大学, 18 Mar. 2024, Invited

  
• Eisenstein K3 surfaces and analytic torsion

  Ken-Ichi YOSHIKAWA

  Global Invariants of Arithmetic Varieties, Centre International de Rencontres Mathematiques, Luminy, France, 09 Oct. 2023, Invited

  
• Enriques 2n-folds and analytic torsion

  Ken-Ichi Yoshikawa

  Japanese-European Symposium on Symplectic Varieties and Moduli Spaces, University of Milan, 25 May 2023, Invited

  
• Enriques 2n-folds and analytic torsion

  Ken-Ichi Yoshikawa

  Japanese-European Symposium on Symplectic Varieties and Moduli Spaces, University of Milan, 23 May 2023, Invited

  
• Eisenstein K3 surfaces and analytic torsion

  吉川謙一

  K3, Enriques Surfaces and Related Topics, Nagoya University, 21 Mar. 2023, Invited

  
• Degeneration of Riemann surfaces and small eigenvalues of Laplacian

  吉川謙一

  The 28th Symposium on Complex Geometry, 10 Nov. 2022, Invited

  
• Degeneration of Riemann surfaces and small eigenvalues of Laplacian

  Ken-Ichi Yoshikawa

  Index Theory and Complex Geometry: Conference on Index Theory and Related Topics, 27 Aug. 2021, Invited

  
• Degeneration of Riemann surfaces and small eigenvalues of Laplacian

  Ken-Ichi Yoshikawa

  India-Japan Web-Workshop on Vector Bundles and Related Topics, 23 Feb. 2021, Invited

  
• Degeneration of Riemann surfaces and small eigenvalues of Laplacian

  Ken-Ichi Yoshikawa

  Grauert theory and recent complex geometry, 06 Feb. 2021, Invited

  
• Quasi-pullback of certain Siegel modular forms and Borcherds products

  Ken-Ichi Yoshikawa

  RIMS 共同研究(公開型)「保型形式，保型表 現, ガロア表現とその周辺」, 29 Jan. 2021, Invited

  
• Enriques 2n-folds and analytic torsion

  Ken-Ichi Yoshikawa

  2019 ECNU Winter Workshop on Geometry, Analysis and Applications, 14 Dec. 2019, Invited

  
• Enriques 2n-folds and analytic torsion

  Ken-Ichi Yoshikawa

  Kinosaki Algebraic Geometry Symposium 2019, 23 Oct. 2019, Invited

  
• Enriques 2n-folds and analytic torsion

  Ken-Ichi Yoshikawa

  Discussion Meeting on Bundle 2019, 27 Mar. 2019, Invited

  
• Enriques 2n-folds and analytic torsion

  YOSHIKAWA Ken-ichi

  Intercity Seminar in Arakelov Geometry 2018, 05 Sep. 2018, Invited

  
• Holomorphic torsion invariants for K3 surfaces with involution and Borcherds products

  YOSHIKAWA Ken-ichi

  Moduli spaces and Modular forms, 26 Apr. 2016, Invited

  
• Analytic torsion for K3 surfaces with involution

  YOSHIKAWA Ken-ichi

  2015 Taipei Conference on Complex Geometry, 20 Dec. 2015, Invited

  
• Analytic torsion for K3 surfaces with involution

  YOSHIKAWA Ken-ichi

  Trends in Modern Geometry & 10th Pacific Rim Complex Geometry Conference, 31 Jul. 2015, Invited

  
• Analytic torsion invariant for K3 surfaces with involution

  YOSHIKAWA Ken-ichi

  Modular Forms and Geometry of Modular Varieties, 05 May 2015

  
• BCOV invariant for Calabi-Yau threefolds

  YOSHIKAWA Ken-Ichi

  New Developments in Algebraic Geometry, National Taiwan University, Aug. 2014, Invited

  
• Equivariant analytic torsion for $K3$ surfaces with involution

  YOSHIKAWA Ken-Ichi

  Moduli spaces of irreducible symplectic varieties, cubics and Enriques surfaces, Mar. 2014, Invited

  
• Equivariant analytic torsion for $K3$ surfaces with involution

  YOSHIKAWA Ken-Ichi

  Control, index, traces and determinants, Universit\'e Paris-Sud, May 2013, Invited

  
• Resultants and the Borcherds Phi-function

  YOSHIKAWA Ken-Ichi

  Complex Geometry Conference, Korea Institute for Advanced Study, May 2013, Invited

  
• Analytic torsion of log-Enriques surfaces

  YOSHIKAWA Ken-Ichi

  Algebraic geometry, modular forms and applications to physics, International Centre for Mathematical Sciences, Dec. 2012, Invited

  
• Singularities and analytic torsion

  YOSHIKAWA Ken-Ichi

  Workshop “Spectral Invariants on Non-compact and Singular Spaces”, Centre de Recherches Math\'ematiques, Jul. 2012, Invited

  
• A trinity of Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  Analytic torsion and its applications, Universit\'e Paris-Sud, Jun. 2012, Invited

  
• 解析的捩率とBCOV予想

  吉川 謙一

  日本数学会, Mar. 2012, Invited

  
• On the value of Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  Automorphisms of algebraic varieties -- Dynamics and Arithmetic, Shirahama, Dec. 2011, Invited

  
• Resultants and Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  Automorphic forms and moduli spaces, Centre International de Rencontres Math\'ematiques, Oct. 2011, Invited

  
• On the value of Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  Workshop on Arithmetic and Geometry of $K3$ surfaces and Calabi-Yau threefolds, The Fields Institute for research in Mathematical Sciences, Aug. 2011, Invited

  
• Resultants and Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  Infinite Analysis 11, University of Tokyo, Jul. 2011, Invited

  
• Singularities and analytic torsion

  YOSHIKAWA Ken-Ichi

  Kyoto Symposium on Complex Analysis in Several Variables XIV, Jul. 2011

  
• Singularities and analytic torsion

  YOSHIKAWA Ken-Ichi

  Geometric quantization in noncompact setting, Mathematisches Forschungsinstitut Oberwolfach, Feb. 2011, Invited

  
• Elliptic $J$-function and Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  Lattices, Reflection Groups and Algebraic Geometry, Nagoya, Nov. 2010, Invited

  
• Analytic torsion of certain Calabi-Yau threefolds and Borcherds product

  YOSHIKAWA Ken-Ichi

  Automorphic forms, Kac-Moody algebras and Strings, The Max-Planck Institut f\"ur Mathematik, May 2010, Invited

  
• Elliptic $J$-function and Borcherds $\Phi$-function

  YOSHIKAWA Ken-Ichi

  The 5th Franco-Japanese Symposium on Singularities, Aug. 2009, Invited

  
• An Introduction to Borcherds Products (I), (II), (III)

  YOSHIKAWA Ken-Ichi

  Holomorphically Symplectic Varieties and Moduli Spaces, Jun. 2009, Invited

  
• Analytic torsion and invariants of $K3$ and Calabi-Yau manifolds (I), (II), (III)

  YOSHIKAWA Ken-Ichi

  ICTS Program on `Differential Geometric Methods in Algebraic Geometry', Tata Institute of Fundamental Research, Apr. 2009, Invited

  
• Analytic Torsion and Automorphic Forms

  YOSHIKAWA Ken-Ichi

  Pacific Rim Complex Geometry Conference, Aug. 2008, Invited

  
• Analytic Torsion and Automorphic Forms

  YOSHIKAWA Ken-Ichi

  Tosion and Eta Forms, Universit\"at zu K\"oln, Jun. 2008, Invited

  
• 解析的捩率と保型形式

  吉川 謙一

  日本数学会幾何学分科会, Mar. 2008, Invited

  
• Analytic Torsion and Automorphic Forms

  YOSHIKAWA Ken-Ichi

  International Conference on Geometry and Analysis on Manifolds, University of California Santa Barbara, Mar. 2008, Invited

  
• Analytic Torsion and Automorphic Forms

  YOSHIKAWA Ken-Ichi

  15th Southern California Geometric Analysis Seminar, Feb. 2008, Invited

  
• $K3$ Surfaces, Analytic Torsion and Automorphic Forms

  YOSHIKAWA Ken-Ichi

  Modular Forms and Moduli Spaces, Euler International Mathematical Institute, Jul. 2007, Invited

  
• $K3$ Surfaces, Analytic Torsion and Automorphic Forms

  YOSHIKAWA Ken-Ichi

  Short Program on Moduli Spaces of Riemann Surfaces and Related Topics, Centre de Recherches Math\'ematiques, Jul. 2007, Invited

  
• A duality between Del Pezzo and $K3$ surfaces?

  YOSHIKAWA Ken-Ichi

  International Conference on Geometry and Analysis on Manifolds, Chern Institute of Mathematics, Apr. 2007, Invited

  
• Analytic torsion for Calabi--Yau threefolds

  YOSHIKAWA Ken-Ichi

  Arakelov Geometry, Mathematisches Forschungsinstitut Oberwolfach, Sep. 2005, Invited

  
• Analytic torsion for Calabi--Yau threefolds

  YOSHIKAWA Ken-Ichi

  the XXIII International Conference of Differential Geometric Methods in Theoretical Physics, Aug. 2005, Invited

  
• Discriminants of certain $K3$ surfaces

  YOSHIKAWA Ken-Ichi

  International Symposium on Representation Theory and Automorphic Forms, Feb. 2005, Invited

  
• On the singularity of Quillen metrics

  YOSHIKAWA Ken-Ichi

  Hayama Symposium on Several Complex Variables, Dec. 2004, Invited

  
• $K3$曲面と解析的トーション

  吉川 謙一

  日本数学会函数論分科会, Mar. 2004, Invited

  
• Calabi-Yau hypersurfaces, discriminants, and Quillen metrics

  YOSHIKAWA Ken-Ichi

  Reelle Methoden der Komplexen Analysis, Mathematisches Forschungsinstitut Oberwolfach, Feb. 2003, Invited

  
• Isolated critical points and adiabatic limit of Chern forms

  YOSHIKAWA Ken-Ichi

  Singularit\'es franco-japonaises, Centre International de Rencontres Math\'ematiques, Sep. 2002

  
• $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space

  YOSHIKAWA Ken-ichi

  Geometric Analysis and Singular Spaces, Mathematisches Forschungsinstitut Oberwolfach, Jun. 2002, Invited

  
• $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space

  YOSHIKAWA Ken-Ichi

  Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables, Nov. 2001, Invited

  
• $K3$ surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space

  YOSHIKAWA Ken-Ichi

  Algebraic Geometry 2000, Jul. 2000, Invited

  
• Analytic torsion and automorphic forms on the moduli space

  YOSHIKAWA Ken-Ichi

  Activity on automorphic products, Max-Plank-Institut f\"ur Mathematik, Mar. 1999, Invited

  
• Analytic torsion and automorphic forms on the moduli space

  YOSHIKAWA Ken-Ichi

  Reelle Methoden der Komplexen Analysis, Mathematisches Forschungsinstitut Oberwolfach, Mar. 1999, Invited

  
• Analytic torsion and automorphic forms on the moduli space

  YOSHIKAWA Ken-Ichi

  Arakelov Theory, Values of $L$-functions, Issac Newton Institute for Mathematical Sciences, Jul. 1998, Invited

  
• Quillenの計量と判別式

  吉川 謙一

  日本数学会函数論分科会, Oct. 1997

  
• On the spectral zeta functions of K\"ahler varieties with conical singularities

  YOSHIKAWA Ken-Ichi

  Geometric Complex Analysis, the Third International Research Institute of the Mathematical Society of Japan, Mar. 1995, Invited

  

Awards

• Sep. 1997

  Mathematical Society of Japan, Takebe Prize
• Sep. 2007

  Mathematical Society of Japan, Geometry 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/
• New development of analytic torsion invariants

  Grant-in-Aid for Scientific Research (B)

  Basic Section 11020:Geometry-related

  Kyoto University

  吉川 謙一

  From 01 Apr. 2021, To 31 Mar. 2026, Granted

  解析的捩率;エンリケス多様体;Eisenstein K3曲面;モジュライ空間;保型形式;複素超球;BCOV不変量;ラプラシアンの固有値;ラプラシアン;固有値;リーマン面

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H00984/
• 解析的捩率と大域解析に関する研究

  Grant-in-Aid for JSPS Fellows

  Basic Section 11020:Geometry-related

  Kyoto University

  吉川 謙一

  From 28 Jul. 2021, To 31 Mar. 2023, Declined

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21F30784/
• 解析的捩率と大域解析に関する研究

  Grant-in-Aid for JSPS Fellows

  Basic Section 11020:Geometry-related

  Kyoto University

  吉川 謙一

  From 28 Apr. 2021, To 31 Mar. 2023, Declined

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21F20784/
• 解析的捩率の幾何学的性質とその応用に関する研究

  Grant-in-Aid for JSPS Fellows

  Kyoto University

  吉川 謙一

  From 10 Nov. 2017, To 31 Mar. 2020, Project Closed

  Analytic torsion;BCOV invariant;Calabi-Yau manifolds;birational maps;analytic torsion;scattering theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17F17804/
• 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/
• Analytic torsion and discriminant

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Ken-Ichi Yoshikawa

  From 01 Apr. 2016, To 31 Mar. 2021, Project Closed

  解析的捩率;BCOV不変量;判別式;保型形式;Borcherds積;Calabi-Yau多様体;Enriques多様体;対数的Enriques曲面;テータ定数;モジュライ空間;エンリケス多様体;対数的エンリケス曲面;ボルチャーズ積;クンマー曲面;エンリケス曲面;j-不変量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H03935/
• 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/
• Application of orbifold signature to singularities and singular fibers

  Grant-in-Aid for Scientific Research (C)

  Tohoku Gakuin University

  Tadashi Ashikaga

  From 01 Apr. 2012, To 31 Mar. 2016, Project Closed

  特異点;符号数;デデキンド和;トーリック幾何;連分数;オービフォルド;特異ファイバー;相互律;退化;局所不変量;モジュライ空間;モノドロミー;トーリック写像;商特異点;安定曲線;リーマン面;モジュライ;singularity;toric resolution;continued fraction;Fourier-Dedekind sum;Todd class;orbifold;双有理変換;符号不足数;オービフォールド

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540048/
• 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/
• 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/
• New development of geometric complex analysis

  Grant-in-Aid for Scientific Research (A)

  The University of Tokyo

  Kengo HIRACHI

  From 01 Apr. 2010, To 31 Mar. 2015, Project Closed

  CR多様体;アインシュタイン計量;ケーラー多様体;ベルグマン核;乗数層イデアル;値分布論;放物型幾何;特異点;複素多様体;ケーラー計量;解析的捩率;乗数イデアル層;ツイスター空間;連接層;等質有界領域

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22244008/
• 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/
• Lattices, automorphic forms, and moduli spaces

  Grant-in-Aid for Scientific Research (S)

  Nagoya University

  Shigeyuki KONDO

  From 01 Apr. 2010, To 31 Mar. 2015, Project Closed

  格子;保型形式;モジュライ;K3 曲面;エンリケス曲面;マシュームーンシャイン;自己同型;マシュー群;マシュー・ムーンシャイン;数学;代数幾何学;K３曲面;格子理論;代数学;モジュライ空間;代数;代数幾何;K3曲面;Calabi-Yau多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22224001/
• Localization theory of Atiyah classes and its applications

  Grant-in-Aid for Scientific Research (C)

  Hokkaido University

  Tatsuo SUWA

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

  複素解析幾何;特性類の局所化;留数;チャーン類;アティア類;特異多様体;特異正則分布;幾何学;アティヤ類;複素解析幾何学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540060/
• Signature divisor on the moduli of curves, signature defect and its applications

  Grant-in-Aid for Scientific Research (C)

  Tohoku Gakuin University

  Tadshi ASHIKAGA

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

  符号数;モジュライ空間;モノドロミー;退化;局所化;複素曲面;ファイバー空間;安定還元;特異点;デデキンド和;連分数;モジュライ写像;ファイバー芽;エータ不変量;モジュライ

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540047/
• 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/
• 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/
• Integrated Research of Analytic and Geometric Invariants of Complex Structure

  Grant-in-Aid for Scientific Research (S)

  The University of Tokyo

  Junjiro NOGUCHI

  From 01 Apr. 2005, To 31 Mar. 2010, Project Closed

  関数論;実関数論;多変数複素解析;多変数関数論;複素解析;複素幾何;複素歳何

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17104001/
• 解析的トーションと不変量

  Grant-in-Aid for Young Scientists (B)

  The University of Tokyo

  吉川 謙一

  From 01 Apr. 2004, To 31 Mar. 2007, Project Closed

  解析的トーション;K3曲面;Borcherds積;Del Pezzo曲面;Kahlerモジュライ;Calabi-Yau多様体;ミラー対称性;保型形式;一般Kac-Moody代数;無限積;クイレン計量;カラビ・ヤウ多様体;判別式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16740030/
• Period integral of algebraic varieties

  Grant-in-Aid for Scientific Research (C)

  The University of Tokyo

  Tomohide TERASOMA

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

  モチーフ;バー構成;算術幾何平均;ホッジ構造;周期積分;多重ゼータ値, motif;bar construction;arithmetic geometric mean;Hodge structures

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540011/
• カラビ・ヤウ多様体の解析的トーション

  Grant-in-Aid for Young Scientists (B)

  The University of Tokyo

  吉川 謙一

  From 01 Apr. 2002, To 31 Mar. 2004, Project Closed

  カラビ・ヤウ多様体;解析的トーション;モジュライ空間;保型形式;断熱極限;ミルナー数;K3曲面;カラビ・ヤウ超曲面;判別式;キレン計量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14740035/
• Global complex analysis - around L^2 holomorphic functions

  Grant-in-Aid for Scientific Research (B)

  Nagoya University

  Takeo OHSAWA

  From 01 Apr. 2002, To 31 Mar. 2006, Project Closed

  複素多様体;正則ベクトル束;拡張定理;Levi平坦;ケーラー多様体;スタイン多様体;コモホロジー入射性定理;∞でのベルグマン核の挙動;レヴィ平坦超曲面;2次元複素トーラス;L^2正則関数;Bergman計量;変形剛性;Bergman空間;強擬凸領域;Hardy空間;コホモロジー入射性定理;モデル領域;漸近解析;Bergman核;擬凸領域, complex manifolds;holomorphic vector bundle;extension theorem;Levi flat;Kahler manifolds;Stein manifolds

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14340041/
• Constructive geometry of arithmetic quotients of symmetric spaces

  Grant-in-Aid for Scientific Research (B)

  The University of Tokyo

  Takayuki ODA

  From 01 Apr. 2002, To 31 Mar. 2006, Project Closed

  保型形式;球関数;Whittaker関数;Green currents;modular cycle;Automorphic forms;Spherical functions;automorphic forms;spherical functions;modular cycles;modular forms;locally symmetric spaces;Green functions;Automorhic forms, Automorphic forms;Spherical functions;Whittaker functions;Green currents;modular cycle

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14340004/
• Lattices, automorphic forms and moduli spaces

  Grant-in-Aid for Scientific Research (A)

  Nagoya University

  Shigeyuki KONDO

  From 01 Apr. 2002, To 31 Mar. 2006, Project Closed

  モジュライ;保型形式;Del Pezzo曲面;K3曲面;モジュライ空間;三次曲面;一意化;3次曲面;複素ボール;自己同型群;Leech格子, Moduli;Automorphic form;Del Pezzo surface;K3 surface

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14204001/
• Behavior of discrete invariants of algebraic varieties under deformation

  Grant-in-Aid for Scientific Research (C)

  The University of Tokyo

  Keiji OGISO

  From 01 Apr. 2001, To 31 Mar. 2004, Project Closed

  K3曲面;超ケーラー多様体;変形;ピカール数;フーリエー向井対;自己同型群;モーデルヴェイユ格子;クンマー構造;フェルマー4次元曲面;小平問題;有限単純群;アーベル曲面;フーリエ-向井対;クンマー曲面;モンスター;有限自己同型群;1次元小変形;フーリエー向井パートナー;ミラー族;モノドロミー群;シンプルティック同相群, k3 surface;hyperkahler manifold;deformation;Picard number;Fourier-Mukai partner;auromorphism group;Mordel-Weil lattice;Kummer structure

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640011/
• 代数幾何学的側面から見た超幾何関数の研究

  Grant-in-Aid for Scientific Research (C)

  The University of Tokyo

  寺杣 友秀

  From 01 Apr. 2001, To 31 Mar. 2003, Project Closed

  テータ関数;周期写像;代数的サイクル;ホッジ理論;多重ゼータ値;超幾何微分方程式;p-進特殊関数;多重ゼータ関数;混合モチーフ;保型関数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640010/
• Integrated Study of Complex Analytic Structure

  Grant-in-Aid for Scientific Research (A)

  The University of Tokyo

  Junjiro NOGUCHI

  From 01 Apr. 2001, To 31 Mar. 2005, Project Closed

  多変数複素解析;幾何学的複素解析;小林双曲的多様体;値分布;擬凸領域;モジュライ空間;複素力学系;タイヒミューラー空間, several complex variables;geometric complex analysis;Kobayashi hyperbolic manifold;value distribution;pseudoconvex domain;moduli space;complex dynamics;Teichmuller space

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13304009/
• Analytic Torsion and Automorphic Forms with Infinite Products

  Grant-in-Aid for Scientific Research (C)

  The University of Tokyo

  Ken-ichi YOSHIKAWA

  From 01 Apr. 2000, To 31 Mar. 2002, Project Closed

  解析的トーション;Quillen計量;モジュライ空間;保型形式;Borcherds積;K3曲面, Analytic Torsion;Quillen metric;Moduli Space;Automorphic Form;Borcherds Product;K3 Surface

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640061/
• 代数幾何学的手法によるモンスターの研究

  Grant-in-Aid for Exploratory Research

  Nagoya University

  金銅 誠之

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

  K3曲面;超特異K3曲面;自己同型群;Leech格子;Mathieu群;Conway群;Monster;保型形式;エンリケス曲面;Del Pezzo曲面;Niemeier格子;Kummer曲面;Rademacher定数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11874004/
• Arakelov geometry and its related topics

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Atsushi MORIWAKI

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

  アラケロフ幾何;高さ関数;ラング予想;ボゴモロフ予想;安定曲線;モジュライ空間;ピカール群;フルトン予想;モジュライ;ネフ因子;アーベル多様体;モーデル・ヴェイユ群;ネロン・テート対;キレン距離, Arakelov Geometry;Height function;Lang conjecture;Bogomolov Conjecture;Stable curve;Moduli space;Picard group;Fulton conjecture

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640024/
• Research on projective structures Riemaun surfaces from analytic and geometric vieupo

  Grant-in-Aid for Scientific Research (C)

  KYUSHU UNIVERSITY;Nagoya University

  Harumi TANIGAWA

  From 01 Apr. 1998, To 31 Mar. 2000, Project Closed

  リーマン面;射影構造;クライン群;測定つき葉層;双曲空間;測度つき葉層;タイヒミュラー空間;Measured lamination, Riemany surfaces;projective structures;Kleinian groups;measured laminations;hyperbolic spaces

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640160/
• Special functions associated with the geometric structures on complex manifolds

  Grant-in-Aid for Scientific Research (C)

  NAGOYA UNIVERSITY

  Takeshi SATO

  From 01 Apr. 1998, To 31 Mar. 2001, Project Closed

  G構造;モジュライ空間;特殊関数, G-structure;moduli space;special function

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640072/
• Automorphic function on the moduli space and analytic torsion

  Grant-in-Aid for Scientific Research (C)

  The University of Tokyo;Nagoya University

  Kenichi YOSHIKAWA

  From 01 Apr. 1998, To 31 Mar. 2000, Project Closed

  解析的トーション;保型形式;モジュライ空間;無限次元リー代数;無限積;一般Kac-Moody代数;Quillen計量;Borcherds Φ-関数;2-elementary K3 曲面;Generalized Kac-Moody 代数;複素双曲型空間, analytic torsion;automorphic form;moduli space;infinite dimensional algebra;infinite product

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640071/
• Complex analysis of Bergman spaces and α-cohomology

  Grant-in-Aid for Scientific Research (B)

  Nagoya University

  Takeo OHSAWA

  From 01 Apr. 1998, To 31 Mar. 2000, Project Closed

  Bergman核;L^2正則関数;擬凸領域;Bergman計量;測地線の複素化;拡張定理;割算問題;Bergman計算;^∂_-方程式;皆既関数;超擬凸;Bergman空間;L^2拡張定理, Bergman Kernel;LィイD12ィエD1 holomorphic function;Pseudoconvex domain;Bergman metric;Complexification of gid;Extension theorem;Division theorem

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10440041/
• Research on K3 surfaces

  Grant-in-Aid for Scientific Research (B).

  Nagoya University

  Shigeyuki KONDO

  From 01 Apr. 1998, To 31 Mar. 2001, Project Closed

  K3曲面;エンリケス曲面;モジュライ空間;保型形式;曲線;複素ボール;Del Pezzo曲面;算術的部分群;K3曲線;自己同型群;小平次元;超球面;Mathieu群;Niemeier格子;Kummer曲面, K3 surface;Enriques surface;Moduli space;Automorphic forms;Curve;Complex ball;Del Pezzo surface;Arithmetic subgroup

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10440005/
• Study of metric properties of Teichmuller spaces

  Grant-in-Aid for Scientific Research (C)

  Nagoya University

  Toshihiro NAKANISHI

  From 01 Apr. 1997, To 31 Mar. 1999, Project Closed

  タイヒミュラー空間;リーマン面;双曲幾何;クライン群;ヴェイユ・ピータ-ソン計量;リーマン面の射影構造;クイレン計量;共形平坦多様体;ショットキイ群;双曲3次元軌道体, Teichmuller Space;Riemann Surface;Hyperbolic Geometry;Kleinian Groups

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640176/
• COMPLEX ANALYSIS BY THE L METHOD

  Grant-in-Aid for Scientific Research (C)

  Nagoya University

  Takeo OHSAWA

  From 01 Apr. 1996, To 31 Mar. 1998, Project Closed

  Levi平坦;Kroneckerの極限公式;L^2評価;Levi-平坦;L^2評価式;擬凸領域;hyperconvexity;射影空間, Levi-flat;L^2 estimates;Kronecker's limit formula

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640193/
• Cross-Subject Study of Geometry

  Grant-in-Aid for Scientific Research (C)

  Nagoya University

  Ryoichi KOBAYASHI

  From 01 Apr. 1995, To 31 Mar. 1997, Project Closed

  値分布論;ディオファントス近似論;第2主要予想;Ricci-flatなKahler構造;重みつきの等周不等式;Beaschke多様体;適合複素構造;Momge-Ampeve方程式;Blaschke多様体;Monge-Ampere方程式;正則曲線;Diophantine approximation;分岐個数関数;対数微分の補題;Rothの定理;接近関数;ジェット微分, Nevanlinna theory;Diophuntine approximation;Weil funition;Riiu-flat Kahlir metrus;Monge-Ampere equation;weightel isoperimetric inequalty;Blaschke conjecture;adapted complex structure

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640108/
• 補間問題における幾何学的理論の構成

  Grant-in-Aid for General Scientific Research (B)

  Nagoya University

  大沢 健夫

  From 01 Apr. 1995, To 31 Mar. 1996, Project Closed

  補間理論;ベクトル束;生成的;弱1完備多様体;L^2∂閉形式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07454015/
• Moduli空間の解析的研究

  Grant-in-Aid for Scientific Research on Priority Areas

  Nagoya University

  大沢 健夫

  From 01 Apr. 1995, To 31 Mar. 1996, Project Closed

  リーマン面の解析族;被覆空間;正則凸性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07210238/
• 2次元場の量子論と無限次元リー環及び量子群の表現論

  Grant-in-Aid for General Scientific Research (C)

  Nagoya University

  土屋 昭博

  From 01 Apr. 1994, To 31 Mar. 1995, Project Closed

  共形場理論;Integral of Motion;Yangian;Degenerate Affine Hecke algebra.

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640126/
• New development of analytic torsion invariants

  Grant-in-Aid for Scientific Research (B)

  Basic Section 11020:Geometry-related

  Kyoto University

  吉川 謙一

  From 01 Apr. 2021, To 31 Mar. 2026, Granted

  解析的捩率;エンリケス多様体;Eisenstein K3曲面;保型形式;ラプラシアンの固有値;モジュライ空間;複素超球;BCOV不変量;ラプラシアン;固有値;リーマン面

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20797/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Calculus

  N179, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Foundations of Modern Mathematics B

  1024, Fall, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Function Theory of A Complex Variable

  3122, Spring, Faculty of Science, 2
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Algebraic Geometry D

  0531, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Algebraic Geometry C

  0530, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Algebraic Geometry B

  0529, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Algebraic Geometry A

  0528, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Function Theory of A Complex Variable

  3122, Spring, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Foundations of Modern Mathematics B

  1024, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Algebraic Geometry

  4128, Spring, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Geometry D

  0531, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Geometry C

  0530, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Geometry B

  0529, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Geometry A

  0528, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Graduate Lecture in Algebraic Geometry

  0402, Spring, Graduate School of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Function Theory of a Complex Variable

  N143, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Geometry B

  0529, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Geometry A

  0528, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Geometry d

  0433, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Geometry c

  0432, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Geometry b

  0431, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Geometry a

  0430, Spring, Graduate School of Science, 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 Algebraic Geometry b

  0431, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Function Theory of a Complex Variable

  N143, Fall, 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 B

  0529, 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 Algebraic Geometry c

  0432, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Geometry d

  0433, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Geometry a

  0430, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Forefront of Mathematics and Mathematical Science II

  4139, Fall, Faculty of Science, 2
• 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 Algebraic Geometry A

  0528, 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 Apr. 2011, To Mar. 2012

  微分幾何学

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

  代数学演義II

  Fall, 理学部
• From Apr. 2011, To Mar. 2012

  微分幾何学

  Fall, 理学部
• From Apr. 2011, To Mar. 2012

  数学講究

  Year-long, 理学部
• From Apr. 2012, To Mar. 2013

  Differental Geometry

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

  Calculus A

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

  Calculus B

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

  Function Theory of A Complex Variable

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

  Advanced Geometry I

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

  Calculus B

  Fall, 全学共通科目
• 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 C

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

  Seminar on Algebra D

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

  Linear Algebra A

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

  Linear Algebra B

  Fall, 全学共通科目
• 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

  Calculus with Exercises A

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

  Calculus with Exercises B

  Fall, 全学共通科目
• 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. 2015, To Mar. 2016

  Linear Algebra with Exercises A

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

  Calculus with Exercises A

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

  Calculus with Exercises B

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

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2017, To Mar. 2018

  Calculus with Exercises A

  Spring, 全学共通科目
• 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 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

  Seminar on Algebra A

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

  Seminar on Algebra B

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

  Function Theory of a Complex Variable

  Fall, 全学共通科目
• 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

  Mathematics seminary

  Year-long, 理学部
• From Apr. 2018, To Mar. 2019

  Foundations of Modern Mathematics B

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

  Function Theory of A Complex Variable

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

  Function Theory of a Complex Variable

  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

  Mathematics seminary

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

  Foundations of Modern Mathematics B

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

  Function Theory of A Complex Variable

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

  Function Theory of a Complex Variable

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

  Seminar on Algebraic Geometry a

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

  Seminar on Algebraic Geometry b

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

  Seminar on Algebraic Geometry c

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

  Seminar on Algebraic Geometry d

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

  Foundations of Modern Mathematics B

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

  Linear Algebra with Exercises A

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

  Function Theory of A Complex Variable

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

  Function Theory of a Complex Variable

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

  Advanced Algebra I

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

  Topics in Algebra C

  Fall, 理学研究科
• 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 Algebraic Geometry a

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

  Seminar on Algebraic Geometry b

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

  Seminar on Algebraic Geometry c

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

  Seminar on Algebraic Geometry d

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

  Seminar on Algebra a

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

  Seminar on Algebra b

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

  Forefront of Mathematics and Mathematical Science II

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

  Function Theory of A Complex Variable

  Spring, 理学部

Participation in PhD Defense

• Analytic torsion for irreducible holomorphic symplectic fourfolds with involution

  IMAIKE DAI, Graduate School of Science, Chief Examiner

  24 Mar. 2025
• Minimizing CM degree and specially K-stable varieties

  HATTORI MASAFUMI, Graduate School of Science, Sub-chief Examiner

  23 May 2024
• QUANTUM COHOMOLOGY OF TORIC BUNDLES

  KOTO YUKI, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• ARITHMETIC HILBERT-SAMUEL FUNCTIONS AND χ-VOLUMES OVER ADELIC CURVES

  Luo, Wenbin, Graduate School of Science, Sub-chief Examiner

  23 Mar. 2023
• Arakelov geometry over an adelic curve and dynamical systems

  OHNISHI TOMOYA, Graduate School of Science, Sub-chief Examiner

  23 Mar. 2022

Participation in PhD Defenses (other than KU)

• Limites adiabatiques, fibrations holomorphes plates et th¥'eoreme de R.R.G

  Yeping Zhang, Paris-Sud University, フランス, Sub-chief Examiner

  21 Sep. 2016

Administration

School management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2027

  国際高等教育院 企画評価専門委員会
• From 01 Apr. 2025, To 31 Mar. 2027

  大学院教育支援機構 大学院共通・横断教育企画評価専門委員会
• From 01 Apr. 2025, To 31 Mar. 2026

  国際高等教育院 企画評価専門委員会 数学部会 部会長
• From 01 Apr. 2024, To 31 Mar. 2025

  国際高等教育院 企画評価専門委員会 数学部会 部会長
• From 01 Apr. 2023, To 31 Mar. 2025

  国際高等教育院 企画評価専門委員会 委員
• From 01 Apr. 2023, To 31 Mar. 2024

  国際高等教育院 企画評価専門委員会 数学部会 部会長
• From 01 Apr. 2022, To 31 Mar. 2023

  国際高等教育院 企画評価専門委員会 数学部会 委員
• From 01 Apr. 2011, To 31 Mar. 2013

  京都大学公開講座等企画委員会 委員
• From 01 Apr. 2017, To 31 Mar. 2019

  図書館協議会 協議員
• From 01 Apr. 2018, To 31 Mar. 2019

  国際高等教育院 企画評価専門委員会 数学部会 委員
• From 01 Apr. 2019, To 31 Mar. 2020

  国際高等教育院 企画評価専門委員会 数学部会 委員
• From 01 Apr. 2020, To 31 Mar. 2022

  数学系 学系長

Faculty management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2026

  理学部・教育委員会　全学共通教育委員会委員
• From 01 Apr. 2025, To 31 Mar. 2026

  理学部・教育委員会委員
• From 01 Apr. 2024, To 31 Mar. 2025

  理学部・教育委員会　全学共通教育委員会委員
• From 01 Apr. 2024, To 31 Mar. 2025

  理学部・教育委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学部・教育委員会　少人数担当委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学部・教育委員会　全学共通教育委員会委員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学部・教育委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学部・教育委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学部・教育委員会　全学共通教育委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  理学部・教育委員会　少人数担任委員会委員
• From 01 Apr. 2013, To 31 Mar. 2014

  数学・数理解析専攻・副専攻長
• From 01 Apr. 2014, To 31 Mar. 2015

  数学・数理解析専攻・専攻長
• From 01 Apr. 2014, To 31 Mar. 2015

  理学研究科将来計画委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学研究科自己点検・評価委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学部・教育委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学部・教育委員会　常任委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学部・教育委員会　教務委員会委員
• From 01 Apr. 2015, To 31 Mar. 2016

  理学部・教育委員会　少人数担任委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学部・教育委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学部・教育委員会　常任委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学部・教育委員会　教務委員会委員
• From 01 Apr. 2016, To 31 Mar. 2017

  理学部・教育委員会　少人数担任委員会委員
• 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　教務委員会委員
• From 01 Apr. 2017, To 31 Mar. 2019

  理学研究科図書・出版委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  理学研究科図書・出版委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  国際高等教育院企画評価専門委員会分野別部会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科将来計画委員会委員
• 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　全学共通教育委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  特色入試実施委員会委員長
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科図書・出版委員会委員
• From 01 Apr. 2018, To 31 Mar. 2020

  国際高等教育院企画評価専門委員会分野別部会委員
• 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　常任委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学部・教育委員会　教務委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  理学部・教育委員会　全学共通教育委員会委員
• From 01 Apr. 2019, To 31 Mar. 2020

  特色入試実施委員会委員