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

Academic Degree

• Ｐｈ．Ｄ(プリンストン大学)

Language of Instruction

• English

ID,URL

• J-Global ID

  201401066724107183

Website(s) (URL(s))

• http://www.kurims.kyoto-u.ac.jp/~motizuki/top-japanese.html

researchmap URL

• https://researchmap.jp/7000008539

Research

Research Topics, Overview of the research

• Research Topics

  The arithmetic geometry of hyperbolic curves

• Overview of the research

  Shinichi Mochizuki's main research interest is the arithmetic of hyperbolic curves. During the early and mid-1990's, his research centered upon the $p$-adic anabelian geometry and $p$-adic Teichmuller theory of hyperbolic curves. Since the late 1990's, however, he has also been concerned with developing a global arithmetic version of Teichmuller theory for pairs consisting of a number field equipped with an elliptic curve and understanding the numerous interesting connections between this theory and the absolute and combinatorial anabelian geometry of hyperbolic curves.

Papers

• Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups

  Shinichi Mochizuki

  RIMS Preprint 1870 (March 2017), Mar. 2017

  
• The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichmuller Theory

  Shinichi Mochizuki

  RIMS Preprint 1854 (July 2016), Jul. 2016

  
• Bogomolov's Proof of the Geometric Version of the Szpiro Conjecture from the Point of View of Inter-universal Teichm\"uller Theory

  S. Mochizuki

  Res. Math. Sci., 2016, Peer-reviewed

  
• MONOMORPHISMS IN CATEGORIES OF LOG SCHEMES

  Shinichi Mochizuki

  KODAI MATHEMATICAL JOURNAL, Jun. 2015, Peer-reviewed

  
• Topics in Absolute Anabelian Geometry III: Global Reconstruction Algorithms

  S. Mochizuki

  J. Math. Sci. Univ. Tokyo, 2015, Peer-reviewed

  
• A Panoramic Overview of Inter-universal Teichm\"uller Theory. Algebraic number theory and related topics 2012

  S. Mochizuki

  RIMS K\=oky\=uroku Bessatsu B51 Res. Inst. Math. Sci. (RIMS), Kyoto, 2014, Peer-reviewed

  
• Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves IV: Discreteness and Sections

  Y. Hoshi; S. Mochizuki

  RIMS Preprint 1788 (September 2013), Sep. 2013

  
• Topics in Absolute Anabelian Geometry II: Decomposition Groups and Endomorphisms

  Shinichi Mochizuki

  JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2013, Peer-reviewed

  
• Topics in Absolute Anabelian Geometry I: Generalities

  Shinichi Mochizuki

  JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2012, Peer-reviewed

  
• Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists

  Yuichiro Hoshi; Shinichi Mochizuki

  GALOIS-TEICHMUELLER THEORY AND ARITHMETIC GEOMETRY, 2012, Peer-reviewed

  
• Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II: Tripods and Combinatorial Cuspidalization

  Y. Hoshi; S. Mochizuki

  RIMS Preprint 1762 (November 2012), 2012

  
• Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves III: Tripods and Tempered Fundamental Groups

  Y. Hoshi; S. Mochizuki

  RIMS Preprint 1763 (November 2012), 2012

  
• Inter-universal Teichm\"uller Theory I: Construction of Hodge Theaters

  S. Mochizuki

  RIMS Preprint 1756 (August 2012), 2012

  
• Inter-universal Teichm\"uller Theory II: Hodge-Arakelov-theoretic Evaluation

  S. Mochizuki

  RIMS Preprint1757 (August 2012), 2012

  
• Inter-universal Teichm\"uller Theory III: Canonical Splittings of the Log-theta-lattice

  S. Mochizuki

  RIMS Preprint 1758 (August 2012), 2012

  
• Inter-universal Teichm\"uller Theory IV: Log-volume Computations and Set-theoretic Foundations

  S. Mochizuki

  RIMS Preprint 1759 (August 2012), 2012

  
• 数体と位相曲面に共通する「二次元の群論的幾何」（2012年8月の公開講座）.

  望月新一

  2012

  
• On the combinatorial anabelian geometry of nodally nondegenerate outer representations

  Yuichiro Hoshi; Shinichi Mochizuki

  HIROSHIMA MATHEMATICAL JOURNAL, Nov. 2011, Peer-reviewed

  
• ON THE COMBINATORIAL CUSPIDALIZATION OF HYPERBOLIC CURVES

  Shinichi Mochizuki

  OSAKA JOURNAL OF MATHEMATICS, Sep. 2010, Peer-reviewed

  
• Arithmetic Elliptic Curves in General Position

  S. Mochizuki

  Math. J. Okayama Univ., 2010, Peer-reviewed

  
• The Etale Theta Function and Its Frobenioid-Theoretic Manifestations

  Shinichi Mochizuki

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2009, Peer-reviewed

  
• THE GEOMETRY OF FROBENIOIDS I: THE GENERAL THEORY

  Shinichi Mochizuki

  KYUSHU JOURNAL OF MATHEMATICS, Sep. 2008, Peer-reviewed

  
• THE GEOMETRY OF FROBENIOIDS II: POLY-FROBENIOIDS

  Shinichi Mochizuki

  KYUSHU JOURNAL OF MATHEMATICS, Sep. 2008, Peer-reviewed

  
• The algebraic and anabelian geometry of configuration spaces

  S. Mochizuki; A. Tamagawa

  Hokkaido Mathematical Journal, 2008, Peer-reviewed

  
• A combinatorial version of the Grothendieck conjecture

  Shinichi Mochizuki

  TOHOKU MATHEMATICAL JOURNAL, Sep. 2007, Peer-reviewed

  
• Absolute anabelian cuspidalizations of proper hyperbolic curves

  Shinichi Mochizuki

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

  
• Semi-graphs of anabelioids

  S Mochizuki

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 2006, Peer-reviewed

  
• Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces

  S. Mochizuki

  Hiroshima Math. J., 2006, Peer-reviewed

  
• Global Solvably Closed Anabelian Geometry

  S. Mochizuki

  Math. J. Okayama Univ., 2006, Peer-reviewed

  
• Galois sections in absolute anabelian geometry

  S Mochizuki

  NAGOYA MATHEMATICAL JOURNAL, Sep. 2005, Peer-reviewed

  
• 離散付値環のalmost etale extensions（学生用のノート）

  望月新一

  京都大学数理解析研究所, 2005年10月, 2005, Peer-reviewed

  
• Categorical representation of locally noetherian log schemes

  S Mochizuki

  ADVANCES IN MATHEMATICS, Oct. 2004, Peer-reviewed

  
• Noncritical Belyi Maps

  S. Mochizuki

  Math. J. Okayama Univ., 2004, Peer-reviewed

  
• The absolute Anabelian Geometry of hyperbolic curves

  S Mochizuki

  GALOIS THEORY AND MODULAR FORMS, 2004, Peer-reviewed

  
• The Geometry of Anabelioids

  S. Mochizuki

  Publ. Res. Inst. Math. Sci., 2004, Peer-reviewed

  
• Categories of log schemes with archimedean structures

  S Mochizuki

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2004, Peer-reviewed

  
• The Absolute Anabelian Geometry of Canonical Curves

  S. Mochizuki

  Kazuya Kato's fiftieth birthday, Doc. Math. 2003, Extra Vol., 2003, Peer-reviewed

  
• Topics Surrounding the Anabelian Geometry of Hyperbolic Curves. Galois Groups and Fundamental Groups

  S. Mochizuki

  Mathematical Sciences Research Institute Publications 41, Cambridge University Press, 2003, Peer-reviewed

  
• An Introduction to $p$-adic Teichm\"uller Theory

  S. Mochizuki

  Cohomologies $p$-adiques et applications arithm\'etiques I. Ast\'erisque, 2002, Peer-reviewed

  
• A Survey of the Hodge-Arakelov Theory of Elliptic Curves I

  S. Mochizuki

  Arithmetic Fundamental Groups and Noncommutative Algebra, Proceedings of Symposia in Pure Mathematics 70, American Mathematical Society, 2002, Peer-reviewed

  
• A Survey of the Hodge-Arakelov Theory of Elliptic Curves II

  S. Mochizuki

  Algebraic Geometry 2000. Azumino, Adv. Stud. Pure Math. 36, Math. Soc. Japan, 2002, Peer-reviewed

  
• Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic Curves

  S. Mochizuki

  Communications in arithmetic fundamental groups (Kyoto 1999/2001), RIMS K\=oky\=uroku, 2002, Peer-reviewed

  
• Anabelioidの幾何学とTeichmuller理論

  望月新一

  室蘭, 2002年8月, 2002, Peer-reviewed

  
• Anabelioidの幾何学

  望月新一

  明治大学, 2002年3月, 2002, Peer-reviewed

  
• The intrinsic Hodge theory of $p$-adic hyperbolic curves

  S. Mochizuki

  Taniguchi Conference on Mathematics, Nara '98, Adv. Stud. Pure Math. 31 (2001), Math. Soc. Japan, 2001, Peer-reviewed

  
• The Grothendieck conjecture on the fundamental groups of algebraic curves

  S. Mochizuki; H. Nakamura; A. Tamagawa

  Sugaku Expositions, 2001, Peer-reviewed

  
• $p$進Teichm\"uller理論

  望月新一

  北海道大学, 2001年1月, 2001, Peer-reviewed

  
• The intrinsic Hodge theory of hyperbolic curves

  S. Mochizuki

  Number Theory and Related Topics (Seoul 1998), Yonsei Univ. Inst. Math. Sci., 2000, Peer-reviewed

  
• Connections and Related Integral Structures on the Universal Extension of an Elliptic Curve

  S. Mochizuki

  RIMS Preprint 1279 (May 2000), 2000

  
• The Galois-Theoretic Kodaira-Spencer Morphism of an Elliptic Curve

  S. Mochizuki

  RIMS Preprint 1287 (July 2000), 2000

  
• The Hodge-Arakelov Theory of Elliptic Curves in Positive Characteristic

  S. Mochizuki

  RIMS Preprint 1298 (October 2000), 2000

  
• 実複素多様体のセクション予想と測地線の幾何

  望月新一

  大阪市立大学, 2000年9月, 2000, Peer-reviewed

  
• 多項式の解の近似がとりもつ数論と幾何の関係 (1), (2), (3), (4)

  望月新一

  数学セミナー 39巻 4, 5, 6, 7号 (2000), 62-64, 56-58, 61-64, 58-61, 2000, Peer-reviewed

  
• Extending families of curves over log regular schemes

  S Mochizuki

  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Jun. 1999, Peer-reviewed

  
• Foundations of $p$-adic Teichm\"uller Theory

  S. Mochizuki

  AMS/IP Studies in Advanced Mathematics 11, American Mathematical Society/International Press, 1999, Peer-reviewed

  
• The local pro-p anabelian geometry of curves

  S Mochizuki

  INVENTIONES MATHEMATICAE, 1999, Peer-reviewed

  
• The Hodge-Arakelov Theory of Elliptic Curves: Global Discretization of Local Hodge Theories

  S. Mochizuki

  RIMS Preprint 1255. 1256 (October 1999), 1999

  
• The Scheme-Theoretic Theta Convolution

  S. Mochizuki

  RIMS Preprint 1257 (October 1999), 1999

  
• モチーフ --- 代数多様体の数論的骨格 ---

  望月新一

  数学セミナー, 1999, Peer-reviewed

  
• 連載ICM 98、部門別報告：整数論と数論幾何I

  望月新一

  数学 51巻第1号（1999年1月）, 1999, Peer-reviewed

  
• 代数曲線に関するGrothendieck予想 --- $p$進幾何の視点から

  望月新一

  第四回津田塾大学整数論シンポジウム(1998) 津田塾大学 数学・計算機科学研究所 研究所報, 1999, Peer-reviewed

  
• Correspondences on hyperbolic curves

  S Mochizuki

  JOURNAL OF PURE AND APPLIED ALGEBRA, Oct. 1998, Peer-reviewed

  
• The Intrinsic Hodge Theory of $p$-adic Hyperbolic Curves

  S. Mochizuki

  Proceedings of the International Congress of Mathematicians, Vol. II (Berlin 1998), Doc. Math. 1998, Extra Vol. II, 1998, Peer-reviewed

  
• 基本群に映る双曲的代数曲線の構造

  望月新一

  数理科学, 1998, Peer-reviewed

  
• 代数曲線の基本群に関するGrothendieck予想

  中村 博昭; 玉川 安騎男; 望月新一

  数学, 1998, Peer-reviewed

  
• A version of the grothendieck conjecture for p-adic local fields

  S Mochizuki

  INTERNATIONAL JOURNAL OF MATHEMATICS, Jun. 1997, Peer-reviewed

  
• A Theory of Ordinary $p$-adic Curves

  S. Mochizuki

  Publ. Res. Inst. Math. Sci., 1996, Peer-reviewed

  
• The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields

  S. Mochizuki

  J. Math. Sci. Univ. Tokyo, 1996, Peer-reviewed

  
• The geometry of the compactification of the Hurwitz scheme

  S Mochizuki

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Oct. 1995, Peer-reviewed

  
• ON SEMI-POSITIVITY AND FILTERED FROBENIUS CRYSTALS

  S MOCHIZUKI

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Mar. 1995, Peer-reviewed

  

Presentations

• 宇宙際タイヒミューラー理論に関するセミナー

  望月 新一

  Apr. 2018, Invited

  

Books and Other Publications

• Mathematics that bridges universes --- The shock of IUT theory

  Fumiharu Kato, Others, Preface (written by Shinichi Mochizuki)

  Kadokawa, Jun. 2019, Not refereed

  

Awards

• Sep. 1997

  日本数学会, 日本数学会賞秋季賞
• Feb. 2005

  日本学術振興会, 日本学術振興会賞
• Mar. 2005

  日本学士院, 日本学士院学術奨励賞

External funds: Kakenhi

• Further developments of inter-universal Teichmuller theory

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Go Yamashita

  From 01 Apr. 2015, To 31 Mar. 2020, Project Closed

  宇宙際Teichmuller理論;遠アーベル幾何;Hodge-Arakelov理論;ゼータ関数;L関数;Siegel零点;宇宙際幾何;Riemannゼータ

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K04781/
• New developments in number theoretic geometry, topology, and algorithm

  Grant-in-Aid for Scientific Research (A)

  Hiroshima University;The University of Tokyo

  Makoto Matsumoto

  From 01 Apr. 2011, To 31 Mar. 2016, Project Closed

  数論幾何;トポロジー;アルゴリズム;数論的基本群;モジュライ;国際研究者交流（アメリカ）;国際情報交換（オーストラリア）;国際情報交換（アメリカ）;国際研究者交流（アメリカ、オーストラリア）;国際研究者交流（オーストラリア）

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23244002/
• Arithmetic and Moduli Spaces around Galois-Teichmueller tower

  Grant-in-Aid for Scientific Research (B)

  Osaka University;Okayama University

  Hiroaki NAKAMURA

  From 01 Apr. 2009, To 31 Mar. 2014, Project Closed

  数論幾何学;モジュライ空間;基本群;遠アーベル幾何;代数学;国際研究者交流;整数論;モノドロミー表現;デデキント和;写像類群;ガロア・タイヒミュラー理論;組みひも群;Eisenstein級数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21340009/
• Geometry of Moduli Spaces and its Application to Infinite Analysis

  Grant-in-Aid for Scientific Research (B)

  Tokyo Metropolitan University;Yokkaichi University;Kyoto University

  Kenji UENO

  From 01 Apr. 2007, To 31 Mar. 2011, Project Closed

  代数科学;共形場理論;モジュラー函手;位相的場の理論;タイヒミュラー;GNS構成法;ゲージ対称性;分岐被覆;剛幾何学;モジュライ空;無限可積分系;代数多様体の退化;重複ファイバー;トロピカル幾何学;変形パラメータ;導来圏;モジュライ空間;接続;ゲージ理論;代数曲線;退化;ユニタリ性;写像類群;射影的平坦接続;Hitchin接続;p進剛幾何学;ペンローズ変換

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340007/
• New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm

  Grant-in-Aid for Scientific Research (A)

  Hiroshima University

  Makoto MATSUMOTO

  From 01 Apr. 2007, To 31 Mar. 2011, Project Closed

  数論幾何学;数論的基本群;モジュライ空間;圏論的数論幾何;アルゴリズム;国際研究者交流(米国、フランス、ドイツ他);国際研究者交流;米国:フランス:ドイツ;写像類群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19204002/
• Beyond the framework of classical arithmetic geometry-Zeta, arithmetic topology, and categorical arithmetic geometry

  Grant-in-Aid for Scientific Research (A)

  Hiroshima University

  Makoto MATSUMOTO

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

  ガロア群;基本群;モジュライ空間;写像類群;モチーフ;圏論的数論幾何;数論幾何的トポロジー;数論的基本群;国際研究者交流;米国:フランス;ガロア論;数論的基本論, Galois group;Fundamental group;Moduli space;Mapping class group;Motive;Categorical arithmetic geometry;arithmetic topology

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16204002/
• 楕円曲線のホッジ・アラケロフ理論

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  望月 新一

  From 01 Apr. 2003, To 31 Mar. 2006, Project Closed

  遠アーベル幾何;配置空間;カスプ化;Section予想;Grothendieck予想;Diophantus幾何;双曲的曲線;IU幾何;圏論;p進;双曲型代数曲線;Teichmuller理論;Belyi射;ホッジ理論;ディオファントス幾何;楕円曲線;宇宙

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15740011/
• Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.

  Grant-in-Aid for Scientific Research (S)

  Kyoto University

  Kenji UENO

  From 01 Apr. 2002, To 31 Mar. 2007, Project Closed

  無限可積分系;モジュライ空間;共形場理論;モジュラー函手;位相的場の理論;剛幾何学;数論幾何学;パンルヴェ方程式;政論幾何学;無限次元代数;代数曲線;ヤコビ多様体;曲線の退化;重複ファイバー;K3曲面;KZ方程式;モノドロミー表現;タイヒミュラー空間;ワイル群;遠アーベル幾何学;Rigid幾何学;ミラー対称性;モジュライ函手;位相場の理論;カラビ・ヤウ多様体;p進解析空間;幾何学的クリスタル;3次元多様体の不変量;リー代数;Artin-Mazur形式群;p進微分方程式, Integrable systems with infinite degrees of freedom;Moduli space;Conformal field theory;Modular functor;Topological field theory;Rigid geometry;Arithmetic geometry;Painleve equations

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14102001/
• 楕円曲線のホッジ・アラケロフ理論

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  望月 新一

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

  Hodge理論;Diophantus幾何;楕円曲線;遠アーベル幾何;p進;双曲型代数曲線;圏論;宇宙;Diophatus幾何;クリスタリン;P進;Teichmuller写像

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13740008/
• Geometry of Moduli Spaces and Galois Actions

  Grant-in-Aid for Scientific Research (B)

  HIROSHIMA UNIVERSITY;Kyoto University

  Makoto MATSUMOTO

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

  ガロア群;数理的基本群;モジュライ空間;写像類群;モチーフ;圏論的数論幾何;数論幾何的トポロジー;数論的基本群;遠アーベル幾何;基本群;ヘッケ環;アルティン群, Galois group;arithmetic fundamental group;moduli space;mapping class group;motive;categorical arithmetic geometry;arithmetic geometric topoglogy

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13440005/
• 双曲的曲線の内在的ホッジ理論

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

  Kyoto University

  望月 新一

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

  Hodge理論;Kodaira-Spencer射;Diophantus幾何;比較同型;楕円曲線;遠アーベル幾何学;クリスタリン;p進;整数論;アラケロフ理論;ディオファントス幾何;テータ関数;ホッジ理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11740017/
• 双曲的曲線の内在的ホッジ理論

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

  Kyoto University

  望月 新一

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

  楕円曲線;整数論;アラケロフ理論;ディオファンタス幾何;テータ関数;ホッジ理論;調和解析;双曲的曲線;グロタンディーク予想;セクション予想;コンパクト化;双曲的多重曲線;モジュライ;p進一意化

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09740020/
• Galois groups and fundamental groups

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY

  Yasutaka IHARA

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

  基本群;ガロア群;射影直線マイナス3点;Grothendieck-Teichmuller群;ベータ関数;ガンマ関数;安定微分環;円分体の整数論;絶対ガロア群;射影直線マイナス3点の;円分体のアーベル拡大;整数論;Soule元;pro-p基本群, Galois group;Fundamental group;The projective line minus 3 points;Grothendieck-Teichmuller group;Adelic beta function;Hyperadelic gamma function;The stable derivation algebra;Arithmetic of cyclotomic fields

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09440011/
• 曲線のモジュライ・スタックの数論的一意化理論

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

  Kyoto University

  望月 新一

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

  グロタンディーク予想;局所体;双曲的曲線;マルツェフ完備化;ガロアの作用;p進タイヒミューラー理論;曲線のモジュライ;曲線の対応

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08740021/
• Theory of singular perturbations

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY

  Takahiro KAWAI

  From 01 Apr. 1996, To 31 Mar. 1999, Project Closed

  完全WKB解析;Borel総和法;モノドロミー群;Painleve超越函数;multiple scale;Schrodinger方程式;Stokes曲線;(微分方程式の) 変形;接続公式;変わり点;(微分方程式の)変形;パンルヴェ函数;multiple-scale;ストークス曲線;変り点;ボレル和;保型函数;微分方程式の変形;代数解析学;特異摂動;Painleve函数;Multiple-scale;複素フーリエ解析, Exact WKB analysis;Borel resummation;monodromy groups;Painleve transcendents;multiple-scale;Schrodinger equations;Stokes curves;deformation (of differential equations)

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08454029/
• 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/
• 代数曲線のモジュライ空間とガロア表現

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

  Kyoto University

  伊原 康隆

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

  代数曲線;ガロア表現;モジュライ空間;基本群

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640037/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Arithmetic Geometry d

  1288, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Arithmetic Geometry c

  1287, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Arithmetic Geometry b

  1286, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Arithmetic Geometry a

  1285, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Arithmetic Geometry a

  1285, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Arithmetic Geometry d

  1288, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Arithmetic Geometry c

  1287, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Arithmetic Geometry b

  1286, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Arithmetic Geometry a

  1285, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Arithmetic Geometry d

  1288, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Arithmetic Geometry c

  1287, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Arithmetic Geometry b

  1286, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Arithmetic Geometry b

  1286, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Arithmetic Geometry c

  1287, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Arithmetic Geometry a

  1285, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Arithmetic Geometry d

  1288, Fall, Graduate School of Science, 3
• From Apr. 2011, To Mar. 2012

  数論幾何セミナー研究Ａ

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

  数論幾何セミナー研究Ｂ

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

  数論幾何セミナー研究Ｃ

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

  数論幾何セミナー研究Ｄ

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

  Seminar on Arithmetic Geometry A

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

  Seminar on Arithmetic Geometry B

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

  Seminar on Arithmetic Geometry C

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

  Seminar on Arithmetic Geometry D

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

  Seminar on Arithmetic Geometry A

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

  Seminar on Arithmetic Geometry B

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

  Seminar on Arithmetic Geometry C

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

  Seminar on Arithmetic Geometry D

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

  Seminar on Arithmetic Geometry A

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

  Seminar on Arithmetic Geometry B

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

  Seminar on Arithmetic Geometry C

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

  Seminar on Arithmetic Geometry D

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

  Seminar on Arithmetic Geometry A

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

  Seminar on Arithmetic Geometry B

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

  Seminar on Arithmetic Geometry C

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

  Seminar on Arithmetic Geometry D

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

  Seminar on Arithmetic Geometry a

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

  Seminar on Arithmetic Geometry b

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

  Seminar on Arithmetic Geometry c

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

  Seminar on Arithmetic Geometry d

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

  Seminar on Arithmetic Geometry a

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

  Seminar on Arithmetic Geometry b

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

  Seminar on Arithmetic Geometry c

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

  Seminar on Arithmetic Geometry d

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

  Seminar on Arithmetic Geometry a

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

  Seminar on Arithmetic Geometry b

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

  Seminar on Arithmetic Geometry c

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

  Seminar on Arithmetic Geometry d

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

  Seminar on Arithmetic Geometry a

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

  Seminar on Arithmetic Geometry b

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

  Seminar on Arithmetic Geometry c

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

  Seminar on Arithmetic Geometry d

  Fall, 理学研究科

Participation in PhD Defense

• Category-theoretic Reconstruction of Log Schemes from Categories of Reduced fs Log Schemes

  YUJI TOMOKI, Graduate School of Science, Chief Examiner

  25 Mar. 2024
• 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
• The pro-■ anabelian geometry of number fields

  SHIMIZU RYOJI, 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

Administration

Faculty management (title, position)

• From 01 Apr. 2008

  自己点検・評価委員会　委員
• From 01 Apr. 2012

  編集委員会　委員長
• From 01 Apr. 2007

  広報委員会　委員
• From 01 Apr. 2009

  人権問題委員会　委員
• 協議員会　協議員
• 運営委員会　運営委員
• 専門委員会　専門委員
• From 01 Apr. 2019

  予算委員会　委員