Basic Information

Faculty

• Faculty of Science

Professional Memberships

• 日本数学会

Academic Degree

• 修士（理学）（京都大学）
• 博士（理学）（京都大学）

Profile

• Profile

  京都大学・大学院理学研究科助手・助教，大阪大学・大学院理学研究科准教授，京都大学・大学院理学研究科准教授，同志社大学・理工学部教授を経て，2024年4月より現職．

ID,URL

• J-Global ID

  201401086176326638

researchmap URL

• https://researchmap.jp/7000009212

Research

Research Areas

• Natural sciences, Algebra, Algebraic Geometry

Papers

• Effective faithful tropicalizations associated to linear systems on curves

  Shu Kawaguchi; Kazuhiko Yamaki

  Memoirs of the American Mathematical Society, 2021

  
• Erratum: On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties (Journal für die reine und angewandte Mathematik (Crelles Journal) (2016) 713 (21-48) DOI: 10.1515/crelle-2014-0020)

  Shu Kawaguchi; Joseph H. Silverman

  Journal fur die Reine und Angewandte Mathematik, 01 Apr. 2020

  
• Effective Faithful Tropicalizations Associated to Adjoint Linear Systems

  Shu Kawaguchi; Kazuhiko Yamaki

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, Oct. 2019, Peer-reviewed

  
• Resultants and the Borcherds Φ-function

  Shu Kawaguchi; Shigeru Mukai; Ken Ichi Yoshikawa

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

  
• On inverse degrees of quadratic triangular automorphisms over ℚ-algebras

  Shu Kawaguchi

  Communications in Algebra, 02 Dec. 2017, Peer-reviewed

  
• Dynamical canonical heights for jordan blocks, arithmetic degrees of orbits, and NEF canonical heights on abelian varieties

  Shu Kawaguchi; Joseph H. Silverman

  Transactions of the American Mathematical Society, Jul. 2016, Peer-reviewed

  
• Algebraic rank on hyperelliptic graphs and graphs of genus 3

  Shu Kawaguchi; Kazuhiko Yamaki

  Kyoto Journal of Mathematics, Apr. 2016, Peer-reviewed

  
• On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties

  Shu Kawaguchi; Joseph H. Silverman

  Journal fur die Reine und Angewandte Mathematik, Apr. 2016, Peer-reviewed

  
• Rank of divisors on hyperelliptic curves and graphs under specialization

  Shu Kawaguchi; Kazuhiko Yamaki

  International Mathematics Research Notices, 2015, Peer-reviewed

  Access this paper :

  
• Landen Transforms as families of (commuting) rational self-maps of projective space

  M. Joyce; S. Kawaguchi; J. H. Silverman

  Bulletin of the Institute of Mathematics Academia Sinica (New Series), Dec. 2014, Peer-reviewed

  
• Nilpotency indices, degrees of iterations of affine triangular automorphisms, and Schubert calculus

  Shu Kawaguchi

  MANUSCRIPTA MATHEMATICA, Jul. 2014, Peer-reviewed

  
• Examples of dynamical degree equals arithmetic degree

  Shu Kawaguchi; Joseph H. Silverman

  Michigan Mathematical Journal, Mar. 2014, Peer-reviewed

  
• Canonical vector heights on K3 surfaces-A nonexistence result

  Shu Kawaguchi

  RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2013, Peer-reviewed

  
• Local and global canonical height functions for affine space regular automorphisms

  Shu Kawaguchi

  ALGEBRA & NUMBER THEORY, 2013, Peer-reviewed

  
• Inverse degree of an affine space triangular automorphism

  Shu Kawaguchi

  Proceedings of the American Mathematical Society, 2013, Peer-reviewed

  
• An introduction to algebraic and arithmetic dynamics -- a survey

  Shu Kawaguchi

  RIMS Kôkyûroku Bessatsu, Apr. 2011, Peer-reviewed

  
• Canonical Heights and the Arithmetic Complexity of Morphisms on Projective Space

  Shu Kawaguchi; Joseph H. Silverman

  PURE AND APPLIED MATHEMATICS QUARTERLY, Oct. 2009, Peer-reviewed

  
• Nonarchimedean Green functions and dynamics on projective space

  Shu Kawaguchi; Joseph H. Silverman

  MATHEMATISCHE ZEITSCHRIFT, May 2009, Peer-reviewed

  
• Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint

  Shu Kawaguchi

  AMERICAN JOURNAL OF MATHEMATICS, Feb. 2008, Peer-reviewed

  
• Dynamics of projective morphisms having identical canonical heights

  Shu Kawaguchi; Joseph H. Silverman

  Proceedings of the London Mathematical Society, Sep. 2007, Peer-reviewed

  
• Canonical Heights for Random Iterations in Certain Varieties

  Shu Kawaguchi

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, Peer-reviewed

  
• Canonical height functions for affine plane automorphisms

  S Kawaguchi

  MATHEMATISCHE ANNALEN, Jun. 2006, Peer-reviewed

  
• Canonical heights, invariant currents, and dynamical eigensystems of morphisms for line bundles

  Shu Kawaguchi

  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, Peer-reviewed

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

  S Kawaguchi; KI Yoshikawa

  MANUSCRIPTA MATHEMATICA, Oct. 2005, Peer-reviewed

  
• Introduction to Arakelov geometry

  Shu Kawaguchi; Atsushi Moriwaki; Kazuhiko Yamaki

  Algebraic Geometry in East Asia (Kyoto, 2001), 2002, Peer-reviewed

  
• Inequalities for semistable families of arithmetic varieties

  S Kawaguchi; A Moriwaki

  JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Mar. 2001, Peer-reviewed

  
• Height and arithmetic intersection for a family of semi-stable curves

  Shu Kawaguchi

  Journal of Mathematics of Kyoto University, Oct. 1999, Peer-reviewed

  
• Some remarks on rational periodic points

  S Kawaguchi

  MATHEMATICAL RESEARCH LETTERS, Sep. 1999, Peer-reviewed

  

Misc.

• André–Oort予想の最近の進展(企画サーベイ)

  川口 周

  城崎代数幾何学シンポジウム報告集, Jan. 2022

  Access this misc :

  
• 代数・数論力学系について

  川口 周

  第59回代数学シンポジウム報告集, 2014

  
• Arithmetic degrees of rational self-maps of algebraic varieties and canonical heights for nef divisors on abelian varieties

  Silverman Joseph H.

  城崎代数幾何学シンポジウム報告集, 2013

  Access this misc :

  
• アラケロフ幾何, 代数・数論力学系の問題

  川口 周

  数理解析研究所講究録, Mar. 2011

  
• 代数多様体の射に関する標準的高さ関数

  第53回代数学シンポジウム報告集, 2008

  
• 解析的トーション入門（サーベイ）

  川口 周

  第4回城崎新人セミナー報告集, 2007

  
• Canonical heights arising from several morphisms

  川口 周

  代数幾何学シンポジウム―高次元多様体，正標数の話題を中心として―報告集, Jan. 2002

  
• Quillen metrics of genus 3 curves embedded in Kummer surfaces

  川口 周

  リーマン面に関連する位相幾何学予稿集, 2001

  
• Relative Bogomolov's inequality in the Arithmetic case : A joint work with Atsushi Moriwaki

  川口 周

  城崎代数幾何学シンポジウム報告集, 1997

  Access this misc :

  

Presentations

• Shu Kawaguchi

  Number Theory Seminar, National Taiwan Normal University, 15 Mar. 2024, Invited

  
• Eisenstein K3 surfaces and analytic torsion (Joint work with Ken-Ichi Yoshikawa)

  Shu Kawaguchi

  Recent Developments in Algebraic Geometry, Arithmetic and Dynamics, Part 2, National University of Singapore, 21 Aug. 2023, Invited

  
• 代数多様体の忠実トロピカル化とトロピカル多様体の忠実埋め込み

  川口周

  湯布院代数幾何ワークショップ, 16 Feb. 2023, Invited

  
• 直線束に付随した忠実トロピカル化とトロピカル多様体の忠実埋め込み

  川口 周

  2022早稲田整数論研究集会, 23 Mar. 2022, Invited

  
• André–Oort予想の最近の進展(企画サーベイ)

  川口 周

  代数幾何学城崎シンポジウム, 26 Oct. 2021, Invited

  
• j-invariant and Borcherds Phi-function

  Shu Kawaguchi

  Recent Developments in Algebraic Geometry, Arithmetic and Dynamics Part 1, National University of Singapore, 17 Jul. 2021, Invited

  
• 数論力学系における高さ関数

  川口 周

  日本数学会2021年度年会 企画特別講演, 17 Mar. 2021, Invited

  
• j-invariant and Borcherds Phi-function

  Shu Kawaguchi

  Logic advanced class, Oxford University, 05 Dec. 2019, Invited

  
• j-invariant and Borcherds Phi-function

  Shu Kawaguchi

  Number Theory Seminar, Cambridge University, 15 Oct. 2019, Invited

  
• Some arithmetic properties of one-parameter families of Hénon maps

  Shu Kawaguchi

  Vietnam-USA Joint Mathamatical Meeting, Special Session on Complex Geometry and Dynamical Systems, Quy Nhon, Vietnam, Jun. 2019, Invited

  
• Heights and periodic points for one-parameter families of Henon maps

  Shu Kawaguchi

  Intercity Seminar on Arakelov Geometry, University of Copenhagen, Sep. 2018, Invited

  
• 代数曲線とグラフのリーマン・ロッホの定理

  川口 周

  名城大学理工学研究科談話会, 30 Nov. 2017, Invited

  
• Arithmetic properties of a certain family of Henon maps

  Shu Kawaguchi

  BIRS Workshop on Arithmetic and Complex Dynamics, Oaxaca, Nov. 2017, Invited

  
• Effective faithful tropicalizations associated to linear systems

  Shu Kawaguchi

  TIMS Taipei Number Theory Seminar, 15 Sep. 2017, Invited

  
• 3次曲面のモジュライ上の保型形式とK3曲面上の同変解析的捩率 (吉川謙一氏との joint work in progress)

  川口 周

  第4回 K3曲面・エンリケス曲面ワークショップ, 北海道教育大学, 11 Oct. 2016, Invited

  
• Effective faithful tropicalizations associated to linear systems

  Shu Kawaguchi

  The conference Arakelov Geometry - Archimedean and Non- Archimedean Aspects, Universitat Regensburg, 07 Sep. 2016, Invited

  
• Effective faithful tropicalizations associated to linear systems

  Shu Kawaguchi

  The 6th East Asia Number Theory Conference, Chern Institute of Mathematics, Nankai University, 25 Aug. 2016, Invited

  
• Effective faithful tropicalizations associated to linear systems on curves

  Shu Kawaguchi

  Arithmetic and Algebraic Geometry 2016, Univ. Tokyo, 26 Jan. 2016, Invited

  
• Faithful tropicalization by line bundles

  川口 周

  鹿児島大学数理情報科学談話会, 28 Oct. 2015, Invited

  
• First dynamical degrees and arithmetic degrees

  川口 周

  代数幾何学サマースクール2015, 東京大学・玉原セミナーハウス, 27 Aug. 2015, Invited

  
• Around canonical heights in arithmetic dynamics

  Shu Kawaguchi

  Arithmetic 2015: Silvermania, Brown University, 04 Aug. 2015, Invited

  
• Rank of divisors on curves and graphs under specialization (with Kazuhiko Yamaki)

  Shu Kawaguchi

  Japan-Taiwan Joint Conference on Number Theory 2014, Kesennuma Oshima, Sep. 2014, Invited

  
• 代数・数論力学系について

  川口 周

  第59回代数学シンポジウム, 東京大学, Sep. 2014, Invited

  
• Canonical vector heights on K3 surfaces

  Shu Kawaguchi

  Symmetries of Kähler manifolds, dynamics and moduli spaces, SISSA, Trieste, Sep. 2014, Invited

  
• Rank of divisors on curves and graphs under specialization: the hyperelliptic case and the genus 3 case

  Shu Kawaguchi

  BIRS Workshop: Specialization of Linear Series for Algebraic and Tropical Curves, Banff, Canada, Apr. 2014, Invited

  
• Arithmetic degrees and dynamical degrees for morphisms, and nef canonical heights on abelian varieties

  Shu Kawaguchi

  モジュライ空間と自己写像, 京都大学数理解析研究所, 06 Mar. 2014, Invited

  
• Arithmetic degrees of rational self-maps of algebraic varieties and canonical heights for nef divisors on abelian varieties

  川口 周

  代数幾何学城崎シンポジウム, 23 Oct. 2013, Invited

  
• Arithmetic degrees of morphisms of algebraic varieties and canonical heights for nef divisors on abelian varieties

  Shu Kawaguchi

  Paris-Kyoto-Barcelona seminar (on Arakeov geoemtry), Institut de Mathematiques de de Jussieu, 17 Sep. 2013, Invited

  
• Dynamical and arithmetic degrees of rational self-maps of algebraic varieties

  Shu Kawaguchi

  Conference on Diophantine Problems and Arithmetic Dynamics, Institute of Mathematics, Academia Sinica, Taiwan, 25 Jun. 2013, Invited

  
• Ranks of divisor classes on hyperelliptic curves and graphs under specialization

  Shu Kawaguchi

  Brown University Algebra and Algebraic Geometry Seminar, 15 Mar. 2013, Invited

  
• Dynamical and arithmetic degrees of rational maps

  Shu Kawaguchi

  Seminar, National University of Singapore, Mar. 2013, Invited

  
• 代数多様体の有理写像の力学的次数と算術的次数

  川口 周

  京都大学数学教室談話会, 09 Jan. 2013, Invited

  
• Dynamical and Arithmetic Degrees of Rational Maps

  Shu Kawaguchi

  RIMS研究集会 複素力学系の新展開, 京都大学・数理解析研究所, 14 Dec. 2012, Invited

  
• Degrees of iterations of triangular automorphisms over Q-algebras

  Shu Kawaguchi

  Doctorial Forum of Mathematics between Fudan and Kyoto Universities, 京都大学・数学教室, 08 Dec. 2012, Invited

  
• Dynamical and Arithmetic Degrees of Rational Maps

  Shu Kawaguchi

  NCTS Japan-Taiwan Joint Conference on Number Theory, NCTS, National Tsing Hua University, 31 Aug. 2012, Invited

  
• Degrees of iterations of triangular automorphisms over Q-algebras

  Shu Kawaguchi

  Algebraic Dynamics, University of Califormia, Berkeley, 12 May 2012, Invited

  
• Analytic torsion related to the moduli of cubic surfaces

  Shu Kawaguchi

  Hawaii Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms, Special session on Arithmetic Geometry, University of Hawaii at Manoa, Mar. 2012, Invited

  
• Analytic torsion related to the moduli of cubic surfaces

  Shu Kawaguchi

  Sino-France Summer Institute on Arithmetic Geometry, Chern Institute of Mathematics, Tianjin, Jul. 2011, Invited

  
• Difference of canonical height functions for affine regular automorphisms

  Shu Kawaguchi

  Heights, Tossa de Mar, Apr. 2011

  
• Arakelov 幾何, 代数・数論力学系の問題

  川口 周

  複素幾何学の諸問題, 京都大学・数理解析研究所, Sep. 2010, Invited

  
• Local and global canonical height functions for affine space regular automorphisms

  Shu Kawaguchi

  AMS-MAA Joint Mathematics Meetings, Special Session on Arithmetic and Nonarchimedean Dynamics, Moscone West Center, San Francisco, Jan. 2010, Invited

  
• Finiteness results on commuting maps over complex numbers and arithmetic complexity

  Shu Kawaguchi

  複素力学系とその関連分野の総合的研究, 京都大学, Dec. 2009, Invited

  
• 代数・数論力学系の紹介(サーベイ)

  川口 周

  代数的整数論とその周辺, 東京大学, Dec. 2009, Invited

  
• Elliptic j-function and Borcherds Phi-function

  川口 周

  多変数関数論葉山シンポジウム XIII, 湘南国際村センター, Jul. 2009, Invited

  
• Elliptic j-funciton and Borcherds Phi-funciton

  Shu Kawaguchi

  1st PRIMA Congress, Special Session on Algebraic Geometry, University of New South Wales, Jul. 2009, Invited

  
• The elliptic j-function and the Borcherds Phi-function

  Shu Kawaguchi

  Séminaire Paris - Barcelone - Kyoto (on Arakelov geometry), Institut de Mathématiques de Jussieu, Mar. 2009, Invited

  
• 代数多様体の射に関する標準的高さ関数

  川口 周

  第5 回代数学シンポジウム, 盛岡アイーナ, Aug. 2008, Invited

  
• Canonical height functions for affine space regular polynomial automorphisms,

  Shu Kawaguchi

  Birational Automorphisms of Compact Complex Manifolds and Dynamical Systems, Nagoya University, Aug. 2007, Invited

  
• Surface automorphisms and height functions

  Shu Kawaguchi

  Seminars on Arakelov geometry and Shimura varieties, Centre de Recerca Màtematica,, Jun. 2006, Invited

  
• Projective morphisms having identical canonical heights

  Shu Kawaguchi

  Séminaire autour de la géométrie d’Arakelov, Institut de Mathématiques de Jussieu, May 2006, Invited

  
• Affine plane automorphisms and height functions

  Shu Kawaguchi

  Séminare Dynamique et géométrie complexes, Université Paris-Sud, Mar. 2006, Invited

  
• Surface automorphisms and height functions

  Shu Kawaguchi

  Séminaire autour de la géométrie d’Arakelov, Institut de Mathématiques de Jussieu, Nov. 2005, Invited

  

Books and Other Publications

• The mordell conjecture : a complete proof from Diophantine geometry

  Ikoma, Hideaki; 川口, 周; 森脇, 淳

  Cambridge University Press, 2022

  Find Kyoto University's collection of books :

  
• 代数学入門: 先につながる群, 環, 体の入門

  川口 周

  日本評論社, Sep. 2017

  Find Kyoto University's collection of books :

  
• モーデル-ファルティングスの定理 : ディオファントス幾何からの完全証明

  森脇 淳; 川口 周; 生駒 英晃

  サイエンス社, Apr. 2017

  Find Kyoto University's collection of books :

  

External funds: Kakenhi

• 非アルキメデス幾何とトロピカル幾何，代数・数論力学系

  Grant-in-Aid for Scientific Research (C)

  Basic Section 11010:Algebra-related

  Doshisha University

  川口 周

  From 01 Apr. 2023, To 31 Mar. 2027, Granted

  非アルキメデス幾何;トロピカル幾何;解析的捩率;数論・代数力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K03041/
• 代数多様体の自己写像に関する多角的研究

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 11:Algebra, geometry, and related fields

  The University of Tokyo

  小木曽 啓示

  From 01 Apr. 2020, To 31 Mar. 2025, Granted

  代数力学系;双有理自己同型群;力学次数;カラビヤウ多様体と錐予想;数論力学系;実形式と錐予想;双有理代数幾何学;複素力学系;実形式;自己同型群;カラビヤウ多様体;有理曲面;実形式の非有限性;自己射のエントロピー;Slow dynamics;力学次数とエントロピー;非可換代数幾何学;有限生成性;自己写像力学次数;代数多様体の実形式;捻じれ斉次座標環

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H00111/
• Berkovich analytic space, tropical geometry, and algebraic/arithmetic dynamics

  Grant-in-Aid for Scientific Research (B)

  Basic Section 11010:Algebra-related

  Doshisha University

  Shu Kawaguchi

  From 01 Apr. 2018, To 31 Mar. 2023, Project Closed

  Berkovich 解析空間;トロピカル幾何;代数・数論力学系;非アルキメデス幾何;解析的捩率;Berkovich解析空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H01114/
• Nonarchimedean geometry, algebraic, arithmetic dynamics and related fields

  Grant-in-Aid for Scientific Research (C)

  Doshisha University

  Shu Kawaguchi

  From 01 Apr. 2015, To 31 Mar. 2019, Project Closed

  非アルキメデス幾何;代数・数論力学系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K04817/
• 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/
• Canonical heights and algebraic/arithmetic dynamics

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Shu KAWAGUCHI

  From 01 Apr. 2012, To 31 Mar. 2015, Project Closed

  標準的高さ;Arakelov 幾何;Arakelov幾何;アラケロフ幾何;解析的トーション

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24740015/
• 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/
• Rational manifolds and Calabi-Yau manifolds in the view of complex dymanics

  Grant-in-Aid for Scientific Research (B)

  Osaka University

  Keiji OGUISO

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

  双有理変換;双正則変換;エントロピー;ダイナミカル次数;有理多様体;カラビ・ヤウ多様体;ICM招待講演;K3曲面;単有理多様体;超ケーラー多様体;自己同型;クレモナ変換;錐予想;導来圏;超単純多様体;コホモロジカル関手

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340009/
• 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/
• canonical heights and related topics

  Grant-in-Aid for Young Scientists (B)

  Osaka University

  Shu KAWAGUCHI

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

  標準的高さ;Arakelov幾何;アラケロフ幾何;解析的トーション

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21740018/
• 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/
• canonical heights on varieties defined over a number field and related topics

  Grant-in-Aid for Young Scientists (B)

  Osaka University;Kyoto University

  Shu KAWAGUCHI

  From 01 Apr. 2006, To 31 Mar. 2009, Project Closed

  標準的高さ;Arakelov幾何;アラケロフ幾何

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18740008/
• Diophantine geometry and moduli problems

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Atsushi MORIWAKI

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

  代数幾何学;数論幾何;ディオファントス幾何;アラケロフ幾何;双有理幾何;双有理アラケロフ幾何;算術的体積関数;算術的極限予想;藤田の近似定理;モジュライ;対数幾何;剛性定理;降下定理;小林・落合の定理;対数スキーム

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17340007/
• Complex symplectic varieties and derived categories

  Grant-in-Aid for Scientific Research (B)

  Osaka University;Kyoto University

  Yoshinori NAMIKAWA

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

  導来圏;複素シンプレクティック多様体;変形;向井フロップ;べき零軌道;双有理幾何;Poisson変形;変形理論;フロップ;複素シンプレクティック多様性;シンプレクティック特異点;複素単純リー環, derived categories;complex symplectic variety;deformation;Mukai flop;nilpotent orbit;birational geometry

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15340008/
• Arakelov幾何とQuillen計量

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  川口 周

  From 01 Apr. 2002, To 31 Mar. 2005, Project Closed

  標準的高さ関数;不変カレント;多項式自己同型;canonical height;height function;Arakelov幾何

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14740011/
• 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/

Education

Teaching subject(s)

• From 01 Apr. 2025, To 31 Mar. 2026

  Special Lecture on Mathematics 9

  7170, Year-long, Faculty of Science, 1
• 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

  Algebra I

  3100, Spring, Faculty of Science, 4
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Number Theory D

  0515, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Number Theory C

  0514, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Number Theory B

  0513, Fall, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Seminar on Number Theory A

  0512, Spring, Graduate School of Science, 3
• From 01 Apr. 2025, To 31 Mar. 2026

  Linear Algebra with Exercises B

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

  Linear Algebra with Exercises A

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

  Advanced Linear Algebra

  N130, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Algebra I

  4100, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Linear Algebra with Exercises A

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

  Seminar on Number Theory D

  0515, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Number Theory C

  0514, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Number Theory B

  0513, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Number Theory A

  0512, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Topics in Algebra A

  0267, Fall, Graduate School of Science, 2

Participation in PhD Defense

• Analytic torsion for irreducible holomorphic symplectic fourfolds with involution

  IMAIKE DAI, Graduate School of Science, Sub-chief Examiner

  24 Mar. 2025

Part-time lecturer

• From 06 Oct. 2025, To 10 Oct. 2025

  東北大学, 大学院理学研究科

Administration

Faculty management (title, position)

• From 01 Apr. 2024, To 31 Mar. 2025

  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　教務委員会委員