Basic Information

Faculty

• 理学部

Academic Degree

• Master degree(Kyoto university)
• Ph.D(Kyoto university)

Academic Resume (Graduate Schools)

• 京都大学, 大学院理学研究科修士課程数学・数理解析専攻, 修了
• 京都大学, 大学院理学研究科博士後期課程数学・数理解析専攻, 修了

Academic Resume (Undergraduate School/Majors)

• 東京大学, 教養学部理科Ⅰ類, 修了
• 東京大学, 理学部数学科, 退学

High School

• High School

  筑波大学附属駒場高等学校

ID,URL

• J-Global ID

  201401070673275083

• External link

  https://sites.google.com/view/yodaka-math

researchmap URL

• https://researchmap.jp/7000009334

Research

Research Interests

• Moduli spaces, (K-)Stability, Canonical Kahler metrics etc.

Research Areas

• Natural sciences, Algebra, Algebraic Geometry

Papers

• PL density invariant for type II degenerating K3 surfaces, Moduli compactification and hyperKahler metrics

  Yuji Odaka

  Nagoya Math Journal, Nov. 2021, Peer-reviewed, Lead author

  
• Collapsing K3 surfaces and Moduli compactification

  Yuji Odaka; Yoshiki Oshima

  Proc. Japan Acad. Ser. A Math. Sci., Nov. 2018, Peer-reviewed

  
• Tropical Geometric Compactification of Moduli, II: Ag case and holomorphic limits.

  Yuji Odaka

  IMRN, Mar. 2018, Peer-reviewed

  
• On the K-stability of Fano varieties and anticanonical divisors

  Yuji Odaka

  Tohoku Math. J., 2018, Peer-reviewed

  
• COMPACT MODULI SPACES OF DEL PEZZO SURFACES AND KAHLER-EINSTEIN METRICS

  Yuji Odaka; Cristiano Spotti; Song Sun

  JOURNAL OF DIFFERENTIAL GEOMETRY, Jan. 2016, Peer-reviewed

  
• Compact Moduli Spaces of Kahler-Einstein Fano Varieties

  Yuji Odaka

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Sep. 2015, Peer-reviewed

  
• Invariants of varieties and singularities inspired by Kahler-Einstein problems

  Yuji Odaka

  PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Apr. 2015, Peer-reviewed

  
• Testing log K-stability by blowing up formalism

  Yuji Odaka; Song Sun

  Ann. Fac. Sci. Toulouse Math., 2015, Peer-reviewed

  
• ON PARAMETRIZATION, OPTIMIZATION AND TRIVIALITY OF TEST CONFIGURATIONS

  Yuji Odaka

  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Jan. 2015, Peer-reviewed

  
• Birational superrigidity and slope stability of Fano manifolds

  Yuji Odaka; Takuzo Okada

  MATHEMATISCHE ZEITSCHRIFT, Dec. 2013, Peer-reviewed

  
• A GENERALIZATION OF THE ROSS-THOMAS SLOPE THEORY

  Yuji Odaka

  OSAKA JOURNAL OF MATHEMATICS, Mar. 2013, Peer-reviewed

  
• The GIT stability of polarized varieties via discrepancy

  Yuji Odaka

  ANNALS OF MATHEMATICS, Mar. 2013, Peer-reviewed

  
• Alpha invariant and K-stability of Q-Fano varieties

  Yuji Odaka; Yuji Sano

  ADVANCES IN MATHEMATICS, Mar. 2012, Peer-reviewed

  
• LOG-CANONICAL MODELS OF SINGULAR PAIRS AND ITS APPLICATIONS

  Yuji Odaka; Chenyang Xu

  MATHEMATICAL RESEARCH LETTERS, 2012, Peer-reviewed

  
• The Calabi Conjecture and K-stability

  Yuji Odaka

  INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, Peer-reviewed

  

Presentations

• Calabi-Yau/K ̈ahler-Einstein metrics, Collapsing K3 surfaces and Generalized Faltings heights

  Yuji Odaka

  Arithmetic algebraic geometry and mathematical physics - in honor of Prof Moriwaki's 60th birthday, 29 Nov. 2021, Invited

  
• Tropical geometric compactification of moduli of surfaces

  Yuji Odaka

  Algebraic Geometry and Moduli Theory - Conference in Honor of Shigeru Mukai’s Retirement, Mar. 2019, Invited

  
• Visualizing Mori theory somewhat?

  Yuji Odaka

  Higher dimensional algebraic geometry and around, Kobe-Kyoto, In honour of retirement of Prof. Shigefumi Mori, Feb. 2016, Invited

  
• Gromov-Hausdorff compactifications of Moduli of Kahler- Einstein manifolds

  Yuji Odaka

  Pacific Rim Complex Geometry ICM 2014 Satellite conference, 2014, Invited

  
• Tropical Geometri Compactification of Moduli

  Yuji Odaka

  Second Japanese-European Symposium on Symplectic Varieties and Moduli Spaces, 19 Sep. 2017, Invited

  
• Tropical Geometric Compactification of Moduli

  Yuji Odaka

  Trends in Modern Geometry, 10 Jul. 2017, Invited

  
• Two non-complex viewpoints on Kahler-Einstein geometry

  Yuji Odaka

  Complex geometry 2016, Nov. 2016, Invited

  
• On compactifying the moduli spaces of Kahler-Einstein varieties

  Yuji Odaka

  Algebraic Geometry: Old and New (Oxford university, Clay Math Institute), 27 Sep. 2016, Invited

  

Books and Other Publications

• Collapsing K3 surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type

  Odaka, Yuji; Oshima, Yoshiki, Joint work

  Mathematical Society of Japan, 2021

  Find Kyoto University's collection of books :

  

Awards

• 18 Mar. 2019

  The Mathematical Society of Japan, Geometry Prize
• 17 Mar. 2020

  Mathematical Society of Japan, Spring prize
• 17 Dec. 2020

  JSPS, JSPS 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

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04429/
• The arithmetic and moduli of hyper-Kaehler varieties via non-archimedean methods

  Grant-in-Aid for Scientific Research (B)

  Basic Section 11010:Algebra-related

  Kyoto University

  伊藤 哲史

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

  非アルキメデス幾何;超ケーラー多様体;モジュライ

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H00973/
• 格子、保型形式とK3曲面、エンリケス曲面の研究

  Grant-in-Aid for Scientific Research (A)

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

  Nagoya University

  金銅 誠之

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

  K3曲面;Enriques曲面;Coble曲面;自己同型;モジュライ;格子;保型形式;モジュライ空間;エンリケス曲面

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H00112/
• 標準ケーラー計量とモジュライ空間

  Grant-in-Aid for Early-Career Scientists

  Basic Section 11010:Algebra-related

  Kyoto University

  尾高 悠志

  From 01 Apr. 2018, To 31 Mar. 2021, Granted

  K3曲面;モジュライ;密度関数;重力インスタントン;モジュライ空間;非アルキメデス幾何学;Gromov-Hausdorff崩壊;標準ケーラー計量;安定性;アラケロフ幾何学;トロピカル幾何学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K13389/
• New development of algebraic geometry viewed from theoretical physics

  Grant-in-Aid for Scientific Research (S)

  Kyoto University

  森脇 淳

  From 31 May 2016, To 31 Mar. 2021, Granted

  代数多様体;ゲージ理論;数論多様体;シンプレティック多様体;シンプレクティック多様体;数理物理;代数学;幾何学;代数幾何学;数理物理学;複素幾何学;モジュライ空間;数論幾何学;理論物理学;表現論;アラケロフ幾何学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H06335/
• K-stability, degeneration of algebraic varieties

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Yuji Odaka

  From 01 Apr. 2014, To 31 Mar. 2017, Project Closed

  モジュライ空間;安定性;標準Kahler計量;トロピカル幾何;モジュライ;Fallings高さ;K-energy;Arakelov幾何;K安定性;双有理幾何学;ファノ多様体;反標準因子;トロピカル幾何学;ミラー対称性;非アルキメデス幾何;Donaldson-二木不変量;Kahler-Einstein計量

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26870316/

Education

Teaching subject(s)

• From Apr. 2014, To Mar. 2015

  Exercises in Algebra II

  Fall, 理学部
• From Apr. 2014, To Mar. 2015

  Algebraic Geometry

  Spring, 理学部
• From Apr. 2014, To Mar. 2015

  Algebraic Geometry

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

  Exercises in Algebra I

  Spring, 理学部
• From Apr. 2015, To Mar. 2016

  Advanced Algebra I

  Fall, 理学部
• From Apr. 2015, To Mar. 2016

  Topics in Algebra D

  Fall, 理学研究科
• 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

  Basic Mathematics B

  Fall, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Advanced Algebra I

  Fall, 理学部
• From Apr. 2017, To Mar. 2018

  Topics in Algebra D

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

  Seminar on Algebraic Geometry A

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

  Seminar on Algebraic Geometry B

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

  Seminar on Algebraic Geometry C

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

  Seminar on Algebraic Geometry D

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

  Mathematics seminary

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

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Introduction to Algebra

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

  Exercises in Basic Algebra

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

  Algebraic Geometry

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

  Graduate Lecture in Algebraic Geometry

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

  Calculus with Exercises A

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Calculus with Exercises B

  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

  Linear Algebra with Exercises A

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Linear Algebra with Exercises B

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Introduction to Algebra

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

  Exercises in Basic Algebra

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

  Algebraic Geometry

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

  Graduate Lecture in Algebraic Geometry

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

  Introduction to Algebra

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

  Exercises in Basic Algebra

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

  Advanced Algebra I

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

  Topics in Algebra A

  Fall, 理学研究科
• 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. 2021, To Mar. 2022

  Introduction to Algebra

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

  Exercises in Basic Algebra

  Fall, 理学部
• 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

  Linear Algebra with Exercises A

  Spring, 全学共通科目

Administration

Faculty management (title, position)

• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科国際・社会交流・広報委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科国際・社会交流・広報委員会　社会交流小委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科国際・社会交流・広報委員会　社会交流小委員会　opencampusワーキンググループ
• From 01 Apr. 2018, To 31 Mar. 2019

  理学研究科国際・社会交流・広報委員会　社会交流小委員会　玉城・サイエンス倶楽部ワーキンググループ長