Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 数理解析基礎講座, 准教授

Academic Degree

• 理学修士(東京大学)
• 理学博士(東京大学)

ID,URL

• J-Global ID

  201401047440533102

researchmap URL

• https://researchmap.jp/7000008299

Research

Research Topics, Overview of the research

• Research Topics

  Studying algebraic varieties and complex analytic varieties via birational geometry and minimal model theory

• Overview of the research

  I have shown some results on relative minimal model program, Zariski decomposition, abundance conjecture, elliptic fibration, structures of several surfaces, and so on.

Research Areas

• Natural sciences, Algebra

Papers

• Grothendieck duality and Q-Gorenstein morphisms

  Y. Lee; N. Nakayama

  Publ. RIMS Kyoto Univ, Sep. 2018, Peer-reviewed

  
• A variant of Shokurov's criterion of toric surface

  N. Nakayama

  Advanced Studies in Pure Mathematics, 75, Algebraic Varieties and Automorphism Groups, 2017, Peer-reviewed

  
• Simply connected surfaces of general type in positive characteristic via deformation theory

  Yongnam Lee; Noboru Nakayama

  PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Feb. 2013, Peer-reviewed

  
• On endomorphisms of Fano manifolds of Picard number one

  J.-M. Hwang; N. Nakayama

  Pure and Appl. Math.Quarterly, 2011, Peer-reviewed

  
• Intersection sheaves over normal schemes

  Noboru Nakayama

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

  
• Polarized endomorphisms of complex normal varieties

  Noboru Nakayama; De-Qi Zhang

  MATHEMATISCHE ANNALEN, Apr. 2010, Peer-reviewed

  
• Separable endomorphisms of surfaces in positive characteristic

  Noboru Nakayama

  ALGEBRAIC GEOMETRY IN EAST ASIA - SEOUL 2008, 2010, Peer-reviewed

  
• Building blocks of etale endomorphisms of complex projective manifolds

  Noboru Nakayama; De-Qi Zhang

  PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Nov. 2009, Peer-reviewed

  
• Complex projective manifolds which admit non-isomorphic surjective endomorphisms

  Y. Fujimoto; N. Nakayama

  Higher dimensional algebraic varieties and vector bundles, RIMS Kôkyûroku Bessatsu, B9, Sep. 2008, Peer-reviewed

  
• Endomorphisms of smooth projective 3-folds with nonnegative Kodaira dimension, II

  Yoshio Fujimoto; Noboru Nakayama

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007, Peer-reviewed

  
• Classification of log del Pezzo surfaces of index two

  Noboru Nakayama

  JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2007, Peer-reviewed

  
• Compact complex surfaces admitting non-trivial surjective endomorphisms

  Y Fujimoto; N Nakayama

  TOHOKU MATHEMATICAL JOURNAL, Sep. 2005, Peer-reviewed

  
• Classification of normal quartic surfaces with irrational singularities

  Y Ishii; N Nakayama

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

  
• Global structure of an elliptic fibration

  N Nakayama

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Sep. 2002, Peer-reviewed

  
• Local structure of an elliptic fibration

  N. Nakayama

  Adv. Stud. Pure Math., 35, Higher Dimensional Birational Geometry, Jul. 2002, Peer-reviewed

  
• Ruled surfaces with non-trivial surjective endomorphisms

  Noboru Nakayama

  Kyushu Journal of Mathematics, 2002, Peer-reviewed

  
• Projective algebraic varieties whose universal covering spaces are biholomorphic to C-n

  N Nakayama

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, Jul. 1999, Peer-reviewed

  
• Elliptic fibrations over surfaces I

  N. Nakayama

  Algebraic Geometry and Analytic Geometry, ICM-90 Satelite Conf. Proc., 1991, Peer-reviewed

  
• On smooth exceptional curves in threefolds

  N. Nakayama

  J. Fac. Sci. Univ. Tokyo Sect. IA, 1990, Peer-reviewed

  
• THE FAMILY OF LINES ON THE FANO THREEFOLD V5

  M FURUSHIMA; N NAKAYAMA

  NAGOYA MATHEMATICAL JOURNAL, Dec. 1989, Peer-reviewed

  
• A NEW CONSTRUCTION OF A COMPACTIFICATION OF C-3

  M FURUSHIMA; N NAKAYAMA

  TOHOKU MATHEMATICAL JOURNAL, Dec. 1989, Peer-reviewed

  
• The singularity of the canonical model of compact Kähler manifolds

  Noboru Nakayama

  Mathematische Annalen, Apr. 1988, Peer-reviewed

  
• On Weierstrass models

  N. Nakayama

  Algebraic Geometry and Commutative Algabra in Honor of M. Nagata, 1988, Peer-reviewed

  
• The lower semi-continuity of the plurigenera of complex varieties

  N. Nakayama

  Adv. Stud. Pure Math. 10, Algebraic Geometry, Sendai 1985, 1987, Peer-reviewed

  
• HODGE FILTRATIONS AND THE HIGHER DIRECT IMAGES OF CANONICAL SHEAVES

  N NAKAYAMA

  INVENTIONES MATHEMATICAE, 1986, Peer-reviewed

  
• INVARIANCE OF THE PLURIGENERA OF ALGEBRAIC-VARIETIES UNDER MINIMAL MODEL CONJECTURES

  N NAKAYAMA

  TOPOLOGY, 1986, Peer-reviewed

  

Books and Other Publications

• Zariski-decomposition and Abundance

  Noboru Nakayama, Single work

  Math. Soc. Japan, 2004, Not refereed

  

External funds: Kakenhi

• Structure of certain normal algebraic surfaces

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Kyoto University

  Noboru NAKAYAMA

  From 01 Apr. 2018, To 31 Mar. 2021, Project Closed

  代数幾何;代数曲面;自己正則写像

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03240/
• 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/
• Moduli theoretic study of Fano varieties and Enriques surfaces

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Shigeru MUKAI

  From 01 Apr. 2010, To 31 Mar. 2013, Project Closed

  代数幾何学;Enriques曲面;K3曲面;モジュライ空間;Torelli定理;ルート系;Mathieu群;アーベル曲面;モジュライ;Torelli型定理;保型形式;井草4次超曲面

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340007/
• Explicit constructions of several algebraic varieties

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Noboru NAKAYAMA

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

  代数幾何;代数学;代数幾何学;代数多様体;自己正則写像

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20540042/
• 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/
• Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^ problem of Hilbert

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Shigeru MUKAI

  From 01 Apr. 2005, To 31 Mar. 2009, Project Closed

  代数幾何学;ヒルベルトの第14問題;quiver;フェアリンデ公式;ヒルベルト概型;エンリケス曲面;ファノ多様体;モジュライ;代数的ベクトル束;高次元双有理幾何学;Verlinde公式;代数曲面;K3曲面;Enriques曲面;Hilbert概型;Brill-Noether理論;Hom概型;レベル階数双対性;Kummer曲面;Hilbertの第14問題

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17340006/
• Torus embedding and fiber space

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Noboru NAKAYAMA

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

  トーリック多様体;複素トーラス;ホッジ構造;ファイバー空間, toric variery;complex torus;Hodge structure;fiber space

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540025/
• Various aspects of pencils of algebraic curves

  Grant-in-Aid for Scientific Research (B)

  Osaka University

  Kazuhiro KONNO

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

  代数曲線束;局所符号数;分岐被覆;モーデル・ヴェイユ格子;ガロア点;ザリスキー対;標準サイクル;スロープ;ガロワ点;退化;局所不変量;K3曲面;標準線形系;endomorphism;有理曲面;Mordell-Weil lattice;fibration;モジュライ;ガロア被覆;符号数;モノドロミー;コンパクト化;超特異K3局面, Pencil of algebraic curves;local signature;branched covering;Mordell-Weil lattice;Galois point;Zanski pair

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340008/
• 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/
• Minimal models for fiber spaces

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Noboru NAKAYAMA

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

  極小モデル;楕円ファイバー空間;トーラス埋め込み, minimal model;elliptic fibration;torus embedding

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540024/
• The structure and classification of complex analytic compactifications of C^n with the second Betti number equal to one

  Grant-in-Aid for Scientific Research (C)

  KUMAMOTO UNIVERSITY

  Mikio FURUSHIMA

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

  コンパクト化;del Pezzo曲面;Moishezon;ファノ多様体;モイシェゾン多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640082/
• 関数体上の2次形式とVerlinde公式

  Grant-in-Aid for Exploratory Research

  Kyoto University;Nagoya University

  向井 茂

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

  Verlinde公式;共形場理論;Kac-Moody Lie代数;放物的ベクトル束;モジュライ;ベクトル束;共形ブロック;Cayley-Sylvester公式;ベルヌーイ数;2次曲線束;グラスマン多様体;コホモロジー環;Mumford関係

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12874002/
• Complex symplectic manifolds and related topics

  Grant-in-Aid for Scientific Research (B)

  The University of Tokyo;Kyoto University

  Yoichi MIYAOKA

  From 01 Apr. 2000, To 31 Mar. 2003, Project Closed

  複素シンプレクティック;双有理射;ファイバー構造;射影空間;二次超曲面;三次元ファノ多様体;複素シンプレクティック多様体;高次元多様体;正則写像;変形同値類;有利曲線族;ファノ多様体;2次超曲面;双有理写像;完全可積分ハミルトン系;大域剛性;モディライ空間;複素トーラス;Q-ファノ多様体, complex symplectic;birational morphism;fiber space structure;projective space;hyperquadrics;Fano 3-folds

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440006/
• 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/
• 複素トーラスのファイバー空間

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

  Kyoto University

  中山 昇

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

  ホッジ構造;トーラス;双有理幾何;ケーラー多様性;ケーラー多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11740015/
• Study of moduli spaces, and K3 moonshine

  Grant-in-Aid for Scientific Research (A)

  KYOTO UNIVERCITY;Nagoya University

  Shigeru MUKAI

  From 01 Apr. 1998, To 31 Mar. 2002, Project Closed

  モジュライ;ベクトル束;不変式;Verlinde公式;共形ブロック;Hilbertの第14問題;基本領域;K3曲面;Hodeg予想;モジュライ空間;不変式論;Brill-Noether理論;trisecant line公式;有界対称領域;ラータ関数;アーベル曲面;佐武コンパクト化;テータ関数;フーベル曲面;正多面体群;佐武のコンパクト化, moduli;vector bundle;invariant;Verlinde formula;conformal block;Hilbert's 14th problem;fundamental domain;K3 surface

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10304001/
• Primitive Forms and Period Maps

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY

  Kyoji SAITO

  From 01 Apr. 1997, To 31 Mar. 2000, Project Closed

  原始形式;weight系;楕円ルート系;楕円特異点;楕円ワイル群;楕円リー環;楕円L-函数;平坦構造;平坦座標;楕円アルティン群;原始保型形式;エータ積;Weight系, primitive forms;period maps;elliptic singularities;elliptic root systems;elliptic Lie algebra;elliptic L-functions;regular systems of weights;flat structure

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440031/
• Various problems related to classifications around the higher dimensional birational geometry

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Shigefumi MORI

  From 01 Apr. 1997, To 31 Mar. 2000, Project Closed

  極小モデル;アバンダンス予想;ミラー予想;K3曲面;カラビーヤウ多様体;アーベル多様体;B-モデル;端末特異点;モーデル・ヴェイユ格子;アパンダンス予想;A-モデル;Chern数;極小モデル理論;flip;Mirror対称;Calabi-Yau多様体;Hilbert scheme;special Lagrangian, minimal model;abundance conjecture;mirror conjecture;K3 surface;Calabi-Yau manifold;Abelian variety;B-model;terminal singularity

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440010/
• 高次元代数多様体の双正則幾何

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  宮岡 洋一

  From 01 Apr. 1996, To 31 Mar. 1997, Project Closed

  高次元代数多様;双正則幾何;ベクトル束;多様体上の曲線;Lang予想;極小モデル;平坦座標;飯高予想

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640029/
• 高次元代数多様体と共形場理論

  Grant-in-Aid for international Scientific Research

  Kyoto University

  森 重文

  From 01 Apr. 1996, To 31 Mar. 1997, Project Closed

  極小モデル;フリップ;Calabi-Yau多様体;ミラー対称;K3曲面;普遍被覆空間;D-brane;モジュライ空間;Calabi-Yan多様体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08044078/
• 擬正因子の数値的性質

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

  Kyoto University

  中山 昇

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

  代数多様体;極小モデル;ザリスキ分解

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07740011/
• 高次元代数多様体の研究

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

  The University of Tokyo

  川又 雄二郎

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

  3次元多様体;双有理変換;因子収縮写像;カラビヤウ多様体;コホモロジー;末端特異点

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640021/
• 代数多様体の数論の研究

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

  The University of Tokyo

  斎藤 毅

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

  Hasse-Weil L関数;局所と因子;P進Hodge理論;周期積分;安定還元定理;tame symbol

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640020/
• 高次元代数多様体の分類理論

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

  The University of Tokyo

  川又 雄二郎

  From 01 Apr. 1993, To 31 Mar. 1994, Project Closed

  半安定退化;極小モデル;正標数;数論的スキーム;3次元;標準モデル;正規交差;対数構造

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05640011/
• 楕円ファイバー空間の構造

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

  The University of Tokyo

  中山 昇

  From 01 Apr. 1993, To 31 Mar. 1994, Project Closed

  代数多様体;複素多様体;極小モデル;楕円曲線;ファイバー空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05640010/
• Higher Dimensional Algebraic Varieties

  Grant-in-Aid for international Scientific Research

  Kyoto University

  Shigefumi MORI

  From 01 Apr. 1992, To 31 Mar. 1994, Project Closed

  極小モデル;フリップ;ファノ多様体;シャファレビッチ写像;ホッジ理論;カラビ・ヤオ多様体;ベクトル束;タイヒミューラー空間;極小モデル理論;基本群;フェルリンデ公式;射影空間, Minimal model;flip;Fano variety;Shafarevich map;Hodge theory;Calabi-Yau variety;vector bundle;Teichmueller space

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04044081/
• Number theory of algebraic varieties

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

  University of Tokyo

  Yujiro KAWAMATA

  From 01 Apr. 1991, To 31 Mar. 1993, Project Closed

  代数多様体;整数論;半安定退化;極小モデル;ゼータ関数;対数構造;ヘッケ指標;ガロア表現;数論的代数幾何;ゼ-タ関数;P進Hodge理論;岩沢理論;形式群;局所定数;基本群, algebraic varieties;number theory;semistable reduction;minimal model;zeta function;log rithmic structure;Hecke character;Galois representation

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-03452003/
• 代数多様体の整数論の研究

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

  The University of Tokyo

  加藤 和也

  From 01 Apr. 1990, To 31 Mar. 1991, Project Closed

  類体論;岩澤理論;保型形式;ゼ-タ関数;l進層;P進ホッジ理論;モチ-フ;玉河数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02640019/

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Varieties d

  1260, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Varieties c

  1259, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Varieties b

  1258, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Algebraic Varieties a

  1257, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Varieties c

  1259, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Varieties b

  1258, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Varieties a

  1257, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Algebraic Varieties d

  1260, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Varieties d

  1260, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Varieties a

  1257, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Varieties c

  1259, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Algebraic Varieties b

  1258, Fall, Graduate School of Science, 3
• From Apr. 2014, To Mar. 2015

  Seminar on Algebraic Varieties A

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

  Seminar on Algebraic Varieties B

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

  Seminar on Algebraic Varieties C

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

  Seminar on Algebraic Varieties D

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

  Seminar on Algebraic Varieties A

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

  Seminar on Algebraic Varieties B

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

  Seminar on Algebraic Varieties C

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

  Seminar on Algebraic Varieties D

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

  Exercises in Algebra II

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

  Seminar on Algebraic Varieties A

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

  Seminar on Algebraic Varieties B

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

  Seminar on Algebraic Varieties C

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

  Seminar on Algebraic Varieties D

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

  Seminar on Algebraic Varieties A

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

  Seminar on Algebraic Varieties B

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

  Seminar on Algebraic Varieties C

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

  Seminar on Algebraic Varieties D

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

  Seminar on Algebraic Varieties a

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

  Seminar on Algebraic Varieties b

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

  Seminar on Algebraic Varieties c

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

  Seminar on Algebraic Varieties d

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

  Seminar on Algebraic Varieties a

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

  Seminar on Algebraic Varieties b

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

  Seminar on Algebraic Varieties c

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

  Seminar on Algebraic Varieties d

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

  Seminar on Algebraic Varieties a

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

  Seminar on Algebraic Varieties b

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

  Seminar on Algebraic Varieties c

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

  Seminar on Algebraic Varieties d

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

  Seminar on Algebraic Varieties a

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

  Seminar on Algebraic Varieties b

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

  Seminar on Algebraic Varieties c

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

  Seminar on Algebraic Varieties d

  Fall, 理学研究科

Administration

School management (title, position)

• From 01 Apr. 2017, To 31 Mar. 2019

  学生生活委員会 委員
• From 01 Apr. 2017, To 31 Mar. 2019

  学生生活委員会第一小委員会 委員
• From 01 Apr. 2017, To 31 Mar. 2019

  京都大学奨学金返還免除候補者選考委員会 委員

Faculty management (title, position)

• From 01 Apr. 2017, To 31 Mar. 2018

  数理解析学系会議　委員