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Odaka, Yuji

Graduate School of Letters, Division of Mathematics and Mathematical Sciences Associate Professor

Odaka, Yuji
list
    Last Updated :2022/06/23

    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

    researchmap URL

    list
      Last Updated :2022/06/23

      Research

      Research Interests

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

      Research Areas

      • Natural sciences, Algebra, Algebraic Geometry

      Papers

      • Polystable Log Calabi-Yau Varieties and Gravitational Instantons
        Yuji Odaka
        J. Math. Sci. Univ. Tokyo, 2022, Peer-reviewed
      • Tropical Geometric Compactification of Moduli, I – Mg Case
        Yuji Odaka
        Moduli of K-stable varieties, Jun. 2019, Peer-reviewed, Invited
      • Canonical Kähler metrics and arithmetics: Generalizing Faltings heights
        Yuji Odaka
        Kyoto Journal of Mathematics, 01 Jun. 2018
      • 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

      • "Why K-stability of Fano manifolds important? - Introduction with prospective problems - "
        Yuji Odaka
        On recent progress on Fano manifolds, 2013
      • On the recent developments on algebro-geometric compactifications of Moduli of K3 surfaces --- especially after Alexeev-Engel
        Yuji Odaka
        Kinosaki algebraic geometry symposium, 2021, Invited
      • On the moduli of Kähler-Einstein Fano manifolds
        Yuji Odaka
        Kinosaki algebraic geometry symposium, 2013, Invited
      • On the GIT stability of polarized varieties
        Yuji Odaka
        Kinosaki algebraic geometry symposium, 2010, Invited
      • 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

      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
      • 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
      • 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
      • 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
      • 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
      • 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
      list
        Last Updated :2022/06/23

        Education

        Teaching subject(s)

        • 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
          Linear Algebra with Exercises A
          N151, Spring, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Advanced Algebra I
          4100, Fall, Faculty of Science, 2
        • 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
          Topics in Algebra A
          0267, Fall, Graduate School of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Algebra I
          3100, Spring, Faculty of Science, 4
        • 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 Algebraic Geometry c
          0432, Spring, 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
          Seminar on Algebraic Geometry b
          0431, Fall, Graduate School of Science, 3
        • 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
        list
          Last Updated :2022/06/23

          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

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