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Mochizuki, Takuro

Research Institute for Mathematical Sciences (RIMS) Professor

Mochizuki, Takuro
list
    Last Updated :2025/06/24

    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, 教授

    Academic Degree

    • Master (Science)(Kyoto University)
    • Doctor (Science)(Kyoto University)

    Language of Instruction

    • English

    ID,URL

    researchmap URL

    list
      Last Updated :2025/06/24

      Research

      Research Topics, Overview of the research

      • Research Topics

        Differential geometry, Algebraic geometry, Harmonic bundles, Monopoles, D-modules, Irregular singularities
      • Overview of the research

        I am working on complex differential geometry, algebraic geometry and algebraic analysis. One of my main themes is to pursue correspondences between objects in algebraic geometry and algebraic geometry. I am also interested in the study of singularity of differential equations.

      Research Areas

      • Natural sciences, Geometry

      Papers

      • Harmonic metrics of generically regular semisimple Higgs bundles on noncompact Riemann surfaces
        Qiongling Li; Takuro Mochizuki
        Tunisian Journal of Mathematics, 21 Nov. 2023, Peer-reviewed, Corresponding author
      • Curve test for enhanced ind-sheaves and holonomic D-modules, II
        Takuro Mochizuki
        Annales scientifiques de l'ENS, Jul. 2022, Peer-reviewed
      • Curve test for enhanced ind-sheaves and holonomic D-modules, I
        Takuro Mochizuki
        Annales scientifiques de l'ENS, Jul. 2022, Peer-reviewed
      • Good Wild Harmonic Bundles and Good Filtered Higgs Bundles
        Takuro Mochizuki
        Symmetry, Integrability and Geometry: Methods and Applications, 17 Jul. 2021, Peer-reviewed, Invited
      • Triply Periodic Monopoles and Difference Modules on Elliptic Curves
        Takuro Mochizuki
        Symmetry, Integrability and Geometry: Methods and Applications, 2020, Peer-reviewed, Invited
      • Kobayashi-Hitchin correspondence for analytically stable bundles
        Takuro Mochizuki
        Transactions of the American Mathematical Society, 2020, Peer-reviewed
      • A twistor approach to the Kontsevich complexes
        Takuro Mochizuki
        Manuscripta Mathematica, 2018, Peer-reviewed
      • Some Characterizations of Dirac Type Singularity of Monopoles
        Takuro Mochizuki; Masaki Yoshino
        Communications in Mathematical Physics, Dec. 2017, Peer-reviewed
      • Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
        Takuro Mochizuki
        JOURNAL OF TOPOLOGY, Dec. 2016, Peer-reviewed
      • Harmonic Bundles and Toda Lattices With Opposite Sign II
        Takuro Mochizuki
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Jun. 2014, Peer-reviewed
      • Wild harmonic bundles and twistor D-modules
        Takuro Mochizuki
        Proceedings of the International Congress of Mathematicians Seoul 2014, 2014, Invited
      • Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature
        Takuro Mochizuki
        GEOMETRY & TOPOLOGY, 2014, Peer-reviewed
      • THE THIRD COHOMOLOGY GROUPS OF DIHEDRAL QUANDLES
        Takuro Mochizuki
        JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Jul. 2011, Peer-reviewed
      • THE STOKES STRUCTURE OF A GOOD MEROMORPHIC FLAT BUNDLE
        Takuro Mochizuki
        JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, Jul. 2011, Peer-reviewed, Invited
      • Asymptotic Behaviour of Variation of Pure Polarized TERP Structure
        Takuro Mochizuki
        PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Jun. 2011, Peer-reviewed, Invited
      • WILD HARMONIC BUNDLES AND WILD PURE TWISTOR D-MODULES
        Takuro Mochizuki
        ASTERISQUE, 2011, Peer-reviewed
      • Note on the Stokes structure of Fourier transform
        Takuro Mochizuki
        Acta Math. Vietnam. 35号, 2010, Peer-reviewed, Invited
      • Good formal structure for meromorphic flat connections on smooth projective surfaces
        Takuro Mochizuki
        ALGEBRAIC ANALYSIS AND AROUND: IN HONOR OF PROFESSOR MASAKI KAISHIWARA'S 60TH BIRTHDAY, 2009, Peer-reviewed, Invited
      • ON DELIGNE-MALGRANGE LATTICES, RESOLUTION OF TURNING POINTS AND HARMONIC BUNDLES
        Takuro Mochizuki
        ANNALES DE L INSTITUT FOURIER, 2009, Peer-reviewed, Invited
      • Kobayashi-Hitchin correspondence for tame harmonic bundles II
        Takuro Mochizuki
        GEOMETRY & TOPOLOGY, 2009, Peer-reviewed
      • Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules, part 2
        Takuro Mochizuki
        MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, Jan. 2007, Peer-reviewed
      • Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules, part 1
        Takuro Mochizuki
        MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, Jan. 2007, Peer-reviewed
      • Kobayashi-Hitchin correspondence for tame harmonic bundles and an application
        Takuro Mochizuki
        ASTERISQUE, 2006, Peer-reviewed
      • The virtual class of the moduli stack of stable r-spin curves
        T Mochizuki
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, May 2006, Peer-reviewed
      • The 3-cocycles of the Alexander quandles F-q[T]/(T-omega)
        Takuro Mochizuki
        ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2005, Peer-reviewed
      • Some calculations of cohomology groups of finite Alexander quandles
        T Mochizuki
        JOURNAL OF PURE AND APPLIED ALGEBRA, Apr. 2003, Peer-reviewed
      • Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure
        T Mochizuki
        JOURNAL OF DIFFERENTIAL GEOMETRY, Nov. 2002, Peer-reviewed
      • On the morphism of Duflo-Kirillov type
        T Mochizuki
        JOURNAL OF GEOMETRY AND PHYSICS, Feb. 2002, Peer-reviewed
      • The Gromov-Witten class and a perturbation theory in algebraic geometry
        T Mochizuki
        AMERICAN JOURNAL OF MATHEMATICS, Apr. 2001, Peer-reviewed

      Presentations

      • ゲージ理論と非可換ホッジ理論
        望月拓郎
        玉城嘉十郎教授記念学術講演会, 14 Dec. 2023, Invited
      • Harmonic bundles, Twistor D-modules and Monopoles
        Takuro Mochizuki
        NCTS-Kyoto Mathematics Symposium, 09 Dec. 2023, Invited
      • Asymptotic behaviour of the Hitchin metric of the moduli space of Higgs bundles
        Takuro Mochizuki
        Higgs bundles, non-Abelian Hodge correspondence and related topics, 04 Nov. 2023, Invited
      • Asymptotics of the Hitchin Metric on the Moduli of Higgs Bundles
        Takuro Mochizuki
        Complex Lagrangians, Mirror Symmetry, and Quantization, 17 Oct. 2023, Invited
      • Asymptotic behaviour of the Hitchin metric on the moduli space of Higgs bundles
        望月拓郎
        第70回幾何学シンポジウム, 23 Sep. 2023, Invited
      • Harmonic bundles, non-degenerate symmetric pairings, and some applications,
        Takuro Mochizuki
        Minimal Surfaces in Symmetric Spaces, 23 May 2023, Invited
      • Asymptotic behaviour of large-scale solutions of Hitchin's equations in higher rank
        Takuro Mochizuki
        The Hitchin system, Langlands duality and mirror symmetry, 28 Apr. 2023, Invited
      • Twistor $D$-modules and holomorphic Landau-Ginzburg models
        Takuro Mochizuki
        RIKKYO MathPhys 2023, 07 Jan. 2023, Invited
      • On a generalized Kashiwara-Kawai theorem for tame harmonic bundles
        Takuro Mochizuki
        BIMSA Differential Geometry Seminar, 14 Dec. 2022, Invited
      • 微分幾何学と代数解析学の交流
        望月拓郎
        ブレイクスルー賞(数学部門)受賞記念講演会, 30 Nov. 2022, Invited
      • $L^2$-complexes and twistor complexes of tame harmonic bundles
        望月拓郎
        城崎代数幾何学シンポジウム, 18 Oct. 2022, Invited
      • $L^2$-complexes and twistor complexes of tame harmonic bundles
        Takuro Mochizuki
        超局所解析と漸近解析の展望, 05 Oct. 2022, Invited
      • 微分幾何学と代数解析学の交流
        望月拓郎
        公開シンポジウム「数理科学の展望 国際的展開と諸科学・産業との連携拡大を探る」, 14 Mar. 2022, Invited
      • コホモロジー理論の広がり
        望月拓郎
        京都賞シンポジウム「数理が見る世界」, 12 Feb. 2022, Invited
      • $L^2$-complexes and twistor complexes of tame harmonic bundles
        Takuro Mochizuki
        D-modules: Applications to Algebraic Geometry, Arithmetic and Mirror Symmetry, 13 Apr. 2022, Invited
      • Harmonic metrics of cyclic Higgs bundles over non-compact surfaces
        Takuro Mochizuki
        The 13-th MSJ-SI ``Differential Geometry and Integrable Systems'' March 2022, 14 Mar. 2022, Invited
      • Kobayashi-Hitchin correspondences for harmonic bundles and monopoles
        Takuro Mochizuki
        Harvard CMSA Colloquium, 16 Feb. 2022, Invited
      • Monopoles and difference modules
        Takuro Mochizuki
        Algebraic Geometry and Integrable Systems 2022, 08 Feb. 2022, Invited
      • Monopoles and difference modules
        Takuro Mochizuki
        Arithmetic algebraic geometry and mathematical physics, 03 Dec. 2021, Invited
      • 一般化ホッジ理論の問題
        望月拓郎
        複素幾何学の諸問題II, 08 Sep. 2021, Invited
      • 戸田方程式と調和束
        望月拓郎
        東大数理談話会, 30 Jul. 2021, Invited
      • Harmonic metrics of cyclic Higgs bundles over non-compact surfaces
        Takuro Mochizuki
        Indo-Japan Web-Workshop on Vector Bundles and Related Topics, 22 Feb. 2021, Invited
      • Monopoles and difference modules
        Takuro Mochizuki
        Geometry, Analysis, and Quantum Physics of Monopoles, 04 Feb. 2021, Invited
      • The Riemann-Hilbert correspondence and Fourier transform (II)
        Takuro Mochizuki
        Wild Ramification and Irregular Singularities, 26 Sep. 2019, Invited
      • The Riemann-Hilbert correspondence and Fourier transform (I)
        Takuro Mochizuki
        Wild ramification and irregular singularities, 23 Sep. 2019, Invited
      • Harmonic bundles, monopoles and instantons
        Takuro Mochizuki
        MSJ meeting, 17 Sep. 2019, Invited
      • Some Topics in Kobayashi-Hitchin correspondences
        Takuro Mochizuki
        Integrability, Geometry and Moduli, 31 Jul. 2019, Invited
      • Non-abelian Hodge theory for Monopoles with Periodicity
        Takuro Mochizuki
        Resurgence in Mathematics and Physics, 13 Jun. 2019, Invited
      • Kobayashi-Hitchin correspondences for monopoles with periodicity
        Takuro Mochizuki
        Algebraic analysis and geomery with a view on Higgs bundles and D-modules, 06 Jun. 2019, Invited
      • Kobayashi-Hitchin correspondences for periodic monopoles
        Takuro Mochizuki
        Geometry and integrable systems, 30 Apr. 2019, Invited
      • Kobayashi-Hitchin correspondences for periodic monopoles
        Takuro Mochizuki
        A workshop on challenges at the interface of Hitchin Systems, 18 Mar. 2019, Invited
      • Periodic monopoles and difference modules
        Takuro Mochizuki
        Recent developments in Higgs theory, 25 Oct. 2018, Invited
      • Stokes shells and Fourier transform
        Takuro Mochizuki
        CATS5, 03 Oct. 2018, Invited
      • Periodic monopoles and difference modules
        Takuro Mochizuki
        Geometry and Physics of Quantum Curves, 12 Sep. 2018, Invited
      • Harmonic bundles and Toda equations
        Takuro Mochizuki
        Higgs bundles and Harmonic Maps of Riemann Surfaces, Jul. 2018, Invited
      • Kobayashi-Hitchin correspondence for wild harmonic bundles
        Takuro Mochizuki
        Quantum Fields, Geometry and Representation Theory, Jul. 2018, Invited
      • Periodic monopoles and difference modules
        Takuro Mochizuki
        Complex Geometry and Lie groups, Jun. 2018, Invited
      • Periodic monopoles and difference modules
        Takuro Mochizuki
        Complex Analytic Geomery 2018, Mar. 2018, Invited
      • 周期的モノポールと差分加群の間のKobayashi-Hitchin対応について
        望月 拓郎
        名古屋大学多弦数理物理セミナー, Feb. 2018, Invited
      • Periodic monopoles and difference modules
        Takuro Mochizuki
        Riemann-Hilbert correspondences, Feb. 2018, Invited
      • Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
        Takuro Mochizuki
        Landau-Ginzburg models and application, Dec. 2017, Invited
      • ヒッグス束や接続の小林-ヒッチン対応について
        望月 拓郎
        岡シンポジウム, Dec. 2017, Invited
      • Wild harmonic bundles and related topics
        Takuro Mochizuki
        Lecture at Institute for Advanced Study, Nov. 2017, Invited
      • Decomposition theorem for semisimple algebraic holonomic D-modules
        Takuro Mochizuki
        Seminar at Institute for Advanced Study, Nov. 2017, Invited
      • Mixed twistor D-modules and some examples
        Takuro Mochizuki
        Algebraic Analysis, Jun. 2017, Invited
      • Mixed twistor D-modules and some examples
        Takuro Mochizuki
        Higgs bundles and related topics, May 2017, Invited
      • A Hukuhara-Levelt-Turrittin type theorem
        Takuro Mochizuki
        Developments of mathematics at IPMU in honor of Kyoji Saito, Apr. 2017, Invited
      • Twistor D-modules and some examples
        Takuro Mochizuki
        Hodge Theory, Stokes Phenomenon and Applications, Apr. 2017, Invited
      • Hukuhara-Levelt-Turrittin type theorem
        Takuro Mochizuki
        Complex and analytic geometry, 28 Mar. 2017, Invited
      • Mixed twistor D-modules and some examples
        Takuro Mochizuki
        D-modules and Hodge Theory, 23 Jan. 2017, Invited
      • Curve test for enhance ind-sheaves and holonomic D-modules
        Takuro Mochizuki
        Algebraic Geometry and Integrable Systems, Kobe 2016, 06 Dec. 2016, Invited
      • Asymptotic behaviour of certain famlies of harmonic bundles on Riemann surfaces
        Takuro Mochizuki
        Workshop on New Perspectives on Moduli Spaces in Gauge Theory, 03 Aug. 2016, Invited
      • Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
        Takuro Mochizuki
        離散群と双曲空間のトポロジーと解析, 23 Jun. 2016, Invited
      • Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
        Takuro Mochizuki
        Flat connections, Higgs bundles and Painleve equations, 01 May 2016, Invited
      • Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
        Takuro Mochizuki
        Modern Interactions between Algebra, Geometry and Physics, 20 Apr. 2016, Invited
      • A twistor approach on Kontsevich complexes
        Takuro Mochizuki
        Mirror Symmetry and Algebraic Geometry, 07 Dec. 2015, Invited
      • Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
        Takuro Mochizuki
        The 21st Symposium on Complex Geometry, 30 Oct. 2015, Invited
      • Quantum D-modules and mixed twistor D-modules
        Takuro Mochizuki
        Colloquium at Heidelberg University, 30 Apr. 2015, Invited
      • Quantum D-modules and mixed twistor D-modules
        Takuro Mochizuki
        Mirror Symmetry, Hodge Theory and Differential Equations, 21 Apr. 2015, Invited
      • Wild harmonic bundles and twistor D-modules
        Takuro Mochizuki
        International Congress of Mathematicians, Aug. 2014, Invited
      • Mixed twistor structure and GKZ-hypergeometric systems
        Takuro Mochizuki
        The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, Jul. 2014, Invited
      • Wild harmonic bundles and some applications
        Takuro Mochizuki
        The Asian Mathematical Conference 2013, Jul. 2013, Invited
      • Nahm transforms for harmonic bundles
        Takuro Mochizuki
        Development of Moduli Theory, Jun. 2013, Invited
      • Harmonic bundles and Toda lattices with opposite sign
        Takuro Mochizuki
        Recent trends in Algebraic Analysis, Feb. 2013, Invited
      • Harmonic bundle and Toda lattice with opposite sign
        Takuro Mochizuki
        Various Aspects on the Painleve Equations, Nov. 2012, Invited
      • Harmonic bundle and twistor D-module
        Takuro Mochizuki
        Singularities of differential equations in algebraic geometry, Jun. 2012, Invited
      • The asymptotic behaviour of doubly periodic instantons and Stokes structure
        Takuro Mochizuki
        Spring School on Algebraic Microlocal Analysis, May 2012
      • From Hodge toward Twistor
        Takuro Mochizuki
        MSJ Springe meeting 2012, Mar. 2012, Invited
      • Twistor D-module and harmonic bundle
        Takuro Mochizuki
        Symposium on Projective Algebraic Varieties and Moduli, Feb. 2012, Invited
      • From Hodge toward Twistor
        Takuro Mochizuki
        RIMS International Conference on Noncommutative Geometry and Physics and Hayashibara forum on Symplectic Geometry, Noncommutative Geometry and Physics, Nov. 2010, Invited
      • Kobayashi-Hitchin correspondence for D-modules
        Takuro Mochizuki
        PRIMA Conference on Geometric Analysis, Jul. 2010, Invited
      • Betti structure of holonomic D-modules
        Takuro Mochizuki
        Conference on Algebraic Geometry and Arithmetic, Feb. 2010, Invited
      • On wild harmonic bundles
        Takuro Mochizuki
        The 56th Geometry Symposium, Aug. 2009, Invited
      • On wild harmonic bundle and wild pure twistor D-module
        Takuro Mochizuki
        The 4th Kagoshima Algebra–Analysis–Geometry Seminar, Feb. 2009, Invited
      • Some additional structures on wild pure twistor D-modules
        Takuro Mochizuki
        Conference in Honor of Z. Mebkhout for his Sixtieth Birthday, Jan. 2009, Invited
      • Wild harmonic bundles and wild pure twistor D-modules
        Takuro Mochizuki
        International Conference on Complex Geometry, Jan. 2009, Invited
      • On Deligne-Malgrange lattices
        Takuro Mochizuki
        Equations aux derivees partielles et theorie de Galois differentielle, Oct. 2008, Invited
      • On wild harmonic bundles
        Takuro Mochizuki
        New developments in Algebraic Geometry, Integrable Systems and Mirror symmetry, Jan. 2008, Invited
      • Invariants obtained from the moduli stacks of semistable sheaves on projective surfaces
        Takuro Mochizuki
        The 54th Geometry Symposium, Aug. 2007, Invited
      • Harmonic bundle and D-module
        Takuro Mochizuki
        Algebraic Analysis and Around, 29 Jun. 2007, Invited
      • On asymptotic behaviour of wild harmonic bundles
        Takuro Mochizuki
        From tQFT to tt* and integrability, 25 May 2007, Invited

      Books and Other Publications

      • Periodic monopoles and difference modules
        Takuro Mochizuki, Single work
        Springer, 24 Feb. 2022
      • Mixed Twistor D-modules
        Takuro Mochizuki, Single work
        Lecture Notes in Mathematics 2125, Springer Verlag, 2015, Not refereed
      • Holonomic D-modules with Betti structure
        Takuro Mochizuki, Single work
        Memoires de la Societe Mathematique de France 138/139, Societe Mathematique de France, 2014, Not refereed
      • Wild harmonic bundles and wild pure twistor D-modules
        Takuro Mochizuki, Single work
        Asterisque 340, Societe Mathematique de France, 2011, Not refereed
      • Donaldson type invariants for algebraic surfaces
        Takuro Mochizuki, Single work
        Lecture Notes in Mathematics 1972号, Springer, 2009, Not refereed
      • Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules, I, II
        Takuro Mochizuki, Single work
        Memoirs of American Mathematical Society, 185号, American Mathematical Society, 2007, Not refereed
      • Kobayashi-Hitchin correspondence for tame harmonic bundles
        Takuro Mochizuki, Single work
        Asterisque 309, Societe Mathematique de France, 2006, Not refereed

      Awards

      • Mar. 2006
        Mathematical Society of Japan, Spring prize
      • May 2008
        Kyoto University, Yukawa-Tomonaga Memorial prize
      • Mar. 2010
        Japan Society for the Promotion of Sciences, JSPS prize
      • Mar. 2010
        The Japan Academy, Japan Academy Medal
      • Jun. 2011
        The Japan Academy, Japan Academy Prize
      • Nov. 2012
        Osaka Science&Technology Center, Osaka Science Prize
      • Jan. 2021
        The Asahi Shimbun Foundation, The Asahi Prize
      • 2021
        Breakthrough Prize Foundation, Breakthrough Prize
        United States, International academic award
        Takuro Mochizuki

      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;複素シンプレクティック多様体;双有理幾何;トーリック超ケーラー多様体;べき零軌道;小林-ヒッチン対応
      • Generalized Hodge theory from the twistor perspective
        Grant-in-Aid for Scientific Research (C)
        Basic Section 11020:Geometry-related
        Kyoto University
        望月 拓郎
        From 01 Apr. 2020, To 31 Mar. 2025, Granted
        調和束;ヒッグス束;モジュライ空間;不確定特異点;ホロノミックD加群;ツイスターD加群;不確定ホッジフィルとレーション;L2コホモロジー;不確定ホッジフィルトレーション;モノポール;差分加群;小林・ヒッチン対応;戸田方程式;巡回型ヒッグス束;差分方程式;ストークス構造;フーリエ変換;ツイスター構造;D加群
      • Algebraic geometry and Integrable systems - Deepning of Theory and New Developments in Mathematics and Mathematical Physics -
        Grant-in-Aid for Scientific Research (S)
        Kobe Gakuin University;Kobe University
        Masa-Hiko Saito
        From 31 May 2017, To 31 Mar. 2022, Project Closed
        可積分系;モジュライ空間;モノドロミー保存変形;パンルヴェ方程式;量子コホモロジーとミラー対称性;混合ツイスターD加群;WKB漸近解析;高次元双有理幾何学;混合ツイスターD加群;見かけの特異点;リーマン・ヒルベルト対応;分岐不確定特異点
      • 代数幾何と可積分系の融合 - 種々のモジュライ空間と数学・数理物理学の新展開 -
        Grant-in-Aid for Scientific Research (A)
        Kobe University
        齋藤 政彦
        From 01 Apr. 2017, To 31 Mar. 2018, Discontinued
        可積分系;パンルヴェ方程式;モジュライ理論;量子コホモロジーとミラー対称性;幾何学的ラングランズ対応;モノドロミー保存変形;モジュライ空間
      • New development of algebraic geometry viewed from theoretical physics
        Grant-in-Aid for Scientific Research (S)
        Kyoto University
        Atsushi Moriwaki
        From 31 May 2016, To 31 Mar. 2021, Project Closed
        代数幾何学;数理物理学;アラケロフ幾何学;シンプレクティック特異点;解析的捩率;カラビ・ヤウ多様体;超ケーラー多様体;量子コホモロジー;微分幾何学;複素幾何学;ゲージ理論;数論多様体;シンプレクティック多様体;代数多様体;シンプレティック多様体;数理物理;代数学;幾何学;モジュライ空間;数論幾何学;理論物理学;表現論
      • Study of harmonic bundles and related objects
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        Takuro Mochizuki
        From 01 Apr. 2015, To 31 Mar. 2020, Project Closed
        調和束;モノポール;ツイスターD加群;Kontsevich複体;漸近挙動;Dirac型特異点;Kobayashi-Hitchin対応;ホロノミックD加群;Riemann-Hilbert対応;差分加群;q-差分加群;ワイルド調和束;ヒッグス束;ストークス構造;フーリエ変換;Kontsevich complex;調和バンドル;小林-Hitchin対応;Riemann・Hilbert対応;リーマン・ヒルベルト対応;enhanced ind-sheaf;ディラク型特異点;GKZ超幾何系;Hitchin-WKB-問題;asymptotic decoupling;limiting configuration
      • global problems on non-commutative algebraic geometry
        Grant-in-Aid for Scientific Research (C)
        Kochi University
        Yoshifumi Tsuchimoto
        From 01 Apr. 2012, To 31 Mar. 2017, Project Closed
        非可換代数幾何学;非可換環論;ワイル環;ジャコビアン問題;非可換代数多様体;非可換射影多様体;ドルボー複体;Deligne-Illusie 理論;非可換ケーラー多様体;ケーラー多様体;非可換幾何学;射影多様体;力学系;有限体;ゼータ関数;Jacobian 問題;Dixmier 予想;多項式力学系
      • モジュライ理論による代数幾何と可積分系の新たな展開
        Grant-in-Aid for Scientific Research (A)
        Kobe University
        齋藤 政彦
        From 01 Apr. 2012, To 31 Mar. 2013, Project Closed
        可積分系;モジュライ空間;量子コホモロジーとミラー対称性;パンルヴェ方程式;モノドロミー保存変形;見かけの特異点;ラグランジュアンファイブレーション;極小モデル理論
      • Developments in Interactions between Algebraic Geometry and Integrable Systems
        Grant-in-Aid for Scientific Research (S)
        Kobe University
        Masa-Hiko Saito
        From 31 May 2012, To 31 Mar. 2017, Project Closed
        可積分系;パンルヴェ方程式;相空間;モジュライ空間;モノドロミー保存変形;量子コホモロジーとミラー対称性;リーマン・ヒルベルト対応;Floer 理論;パンルヴェ型方程式;混合ツイスターD加群;Floer理論;量子コホモロジーとミラー 対称性;Bridgeland安定性;モジュライ理論;国際研究者交流(フランス、ハンガリー);国際情報交換;国際研究者交流
      • Study on vector bundles, D-modules and harmonic bundles
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        TAKURO MOCHIZUKI
        From 01 Apr. 2010, To 31 Mar. 2015, Project Closed
        調和バンドル;ツイスターD加群;ホロノミックD加群;戸田格子;インスタントン;ベッチ構造;混合ツイスターD加群;量子D加群;局所ミラー対称性;Landau-Ginzbugモデル;モノポール;ナーム変換;ホロノミックD-加群;ツイスター構造;半無限ホッジ構造の変動;ストークス構造;不確定特異点;有理型平坦束
      • 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
      • Studies on global problems on non commutative algebraic geometry
        Grant-in-Aid for Scientific Research (C)
        Kochi University
        Tsuchimoto YOSHIFUMI;Yoshifumi TSUCHIMOTO
        From 01 Apr. 2008, To 31 Mar. 2012, Project Closed
        非可換代数幾何学;射影幾何学;射影的加群;Dixmier予想;Jacobian問題;反射的加群;Jacobian予想;シンプレクティック構造;Moyal積;Dixmier問題;dixmier予想
      • Study on vector bundles and moduli spaces
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        Takuro MOCHIZUKI
        From 01 Apr. 2007, To 31 Mar. 2010, Project Closed
        ストークス構造;ワイルド純ツイスターD加群;ワイルド調和バンドル;不確定特異点;強レフシェッツ定理;ホロノミックD加群;ベッチ構造;ワイルド純ツイスターD-加群
      • New developments and interaction between Algebraic Geometry and Integrable Systems
        Grant-in-Aid for Scientific Research (S)
        Kobe University
        Masa-hiko SAITO;Masahiko SAITO
        From 01 Apr. 2007, To 31 Mar. 2012, Project Closed
        可積分系;パンルヴェ方程式;相空間;モジュライ空間;量子コホモロジーとミラー対称性;極小モデル理論;高次元代数多様体;モノドロミー保存変形;複素力学系;ミラー対称性
      • tame harmonic bundleとその応用に関する研究
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        望月 拓郎
        From 01 Apr. 2005, To 31 Mar. 2008, Project Closed
        harmonic bundle;Higgs field;Kobayashi-Hitchin対応
      • moduli stackのsuper structure sheafに関する研究
        Grant-in-Aid for Young Scientists (B)
        Kyoto University;Osaka City University
        望月 拓郎
        From 01 Apr. 2003, To 31 Mar. 2005, Project Closed
        harmonic bundle;twistor structure;D-module;Hodge structure
      • Construction of the topological toric theory
        Grant-in-Aid for Scientific Research (C)
        Osaka City University
        Mikiya MASUDA
        From 01 Apr. 2003, To 31 Mar. 2005, Project Closed
        トーリック多様体論;扇;凸体;組合せ論;トポロジー;face ring;同変コホモロジー;グラフ理論;トーリック多様体, toric manifold;fan;convex polytope;combinatorics;topology;face ring;equivariant cohomology;graph theory
      • Moduli space, Homotopical algebra, Field theory
        Grant-in-Aid for Scientific Research (S)
        Kyoto University
        Kenji FUKAYA
        From 01 Apr. 2001, To 31 Mar. 2006, Project Closed
        シンプレクティック幾何学;ラグランジュ部分多様体;フレアーホモロジー;ミラー対称性;A無限大構造;擬正則曲線;位相的場の理論;ハミルトン力学系;ループ空間;シンプレクティック微分同相群;曲率と基本群;open string;モジュライ空間;Dブレイン;A無限大代数;超ポテンシャル;Rigid幾何学;A無限代数;モース理論;ホモトピー代数, symplectic topology;Lagrangian sublmanifolds;Floer homology;Mirror symmetry;A infinity algebra;quasi-regular curve;Topological field theory;Hamiltonian dynamical system
      • 代数曲線に付随するいくつかのmoduliの位相的研究
        Grant-in-Aid for Young Scientists (B)
        Osaka City University
        望月 拓郎
        From 01 Apr. 2001, To 31 Mar. 2003, Project Closed
        代数多様体;トポロジー;quot scheme;r-spin curve;Hilbet scheme;Heisenberg algebra;moduli;Chow group
      • 4-dimensional topology and topological field theory.
        Grant-in-Aid for Scientific Research (B).
        University of Tokyo;Kyoto University
        Mikio FURUTA
        From 01 Apr. 1999, To 31 Mar. 2001, Project Closed
        4次元位相幾何;超ケーラー商;サイバーグ・ウィッテン理論;ゲージ理論;位相的場の理論;指数定理;モノポール方程式;モジュライ空間;モノボール方程式, 4-dimensional topology;hyperkahler quotient;Seiberg-Witten theory;gauge theory;topological field theory;index theorem;monopole equation;moduli space
      • On arithmetic theory of automorphic forms and special values of automorphic L-functions
        Grant-in-Aid for Scientific Research (C)
        Osaka City University;Hiroshima University
        Masaaki FURUSAWA
        From 01 Apr. 1998, To 31 Mar. 2000, Project Closed
        シーゲル保型形式;保型エル函数;エル函数の特殊値;ドリーニュ予想;相対跡公式;跡公式;ジーゲル保型形式;保型形式の持ち上げ;クルスターマン和, Siegel modular form;automorphic L-function;special value of L-function;Deligne's conjecture;relative trace formula;trace formula
      • Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type
        Grant-in-Aid for Scientific Research (A)
        Medium-sized Section 11:Algebra, geometry, and related fields
        Kobe Gakuin University
        齋藤 政彦
        From 01 Apr. 2022, To 31 Mar. 2027, Granted
        可積分系;モジュライ空間;モノドロミー保存変形;パンルヴェ方程式;漸近展開
      • Differential geometry and integrable systems: exploiting new links
        Grant-in-Aid for Scientific Research (A)
        Medium-sized Section 11:Algebra, geometry, and related fields
        Waseda University
        Guest Martin
        From 01 Apr. 2023, To 31 Mar. 2028, Granted
        Integrable systems;Geometry;Quantum cohomology;tt*equations;tt* equations;Isomonodromy
      • Study on singularities in the analytic aspects of non-abelian Hodge theory
        Grant-in-Aid for Scientific Research (C)
        Basic Section 11020:Geometry-related
        Kyoto University
        望月 拓郎
        From 01 Apr. 2025, To 31 Mar. 2030, Granted
        調和束;ホロノミックD加群;ツイスター構造;特異性;非可換ホッジ理論

      External funds: others

      • 代数解析 (平成29年度分)
        二国間交流事業共同研究・セミナー
        From 01 Apr. 2017, To 31 Mar. 2018
        望月 拓郎
      list
        Last Updated :2025/06/24

        Education

        Teaching subject(s)

        • From 01 Apr. 2025, To 31 Mar. 2026
          Invitation to Modern Mathematics and Mathematical Sciences
          N114, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2025, To 31 Mar. 2026
          Special study course (Mathematical Science)
          5140, Year-long, Faculty of Science, 12
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Differential Geometry d
          1306, Fall, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Differential Geometry c
          1305, Spring, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Differential Geometry b
          1304, Fall, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Algebraic Differential Geometry a
          1303, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Forefront of Mathematics and Mathematical Science II
          4139, Fall, Faculty of Science, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Differential Geometry c
          1305, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Differential Geometry b
          1304, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Differential Geometry a
          1303, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Algebraic Differential Geometry d
          1306, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Invitation to Modern Mathematics and Mathematical Sciences
          N114, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Differential Geometry a
          1303, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Differential Geometry d
          1306, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Differential Geometry c
          1305, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Algebraic Differential Geometry b
          1304, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Differential Geometry d
          1306, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Invitation to Modern Mathematics and Mathematical Sciences
          N114, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Differential Geometry c
          1305, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Differential Geometry a
          1303, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Algebraic Differential Geometry b
          1304, Fall, Graduate School of Science, 3
        • From Apr. 2011, To Mar. 2012
          代数的微分幾何セミナー研究A
          Spring, 理学研究科
        • From Apr. 2011, To Mar. 2012
          代数的微分幾何セミナー研究B
          Fall, 理学研究科
        • From Apr. 2011, To Mar. 2012
          代数的微分幾何セミナー研究C
          Spring, 理学研究科
        • From Apr. 2011, To Mar. 2012
          代数的微分幾何セミナー研究D
          Fall, 理学研究科
        • From Apr. 2011, To Mar. 2012
          幾何学II
          Fall, 理学部
        • From Apr. 2011, To Mar. 2012
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2012, To Mar. 2013
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Geometry II
          Fall, 理学部
        • From Apr. 2013, To Mar. 2014
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Mathematics seminary
          Year-long, 理学部
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebraic Differential Geometry A
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebraic Differential Geometry B
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebraic Differential Geometry C
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Algebraic Differential Geometry D
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebraic Differential Geometry A
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebraic Differential Geometry B
          Fall, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebraic Differential Geometry C
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Algebraic Differential Geometry D
          Fall, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Seminar on Algebraic Differential Geometry A
          Spring, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Algebraic Differential Geometry B
          Fall, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Algebraic Differential Geometry C
          Spring, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Seminar on Algebraic Differential Geometry D
          Fall, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Advanced Geometry II
          Spring, 理学部
        • From Apr. 2016, To Mar. 2017
          Topics in Geometry B
          Spring, 理学研究科
        • From Apr. 2016, To Mar. 2017
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Seminar on Algebraic Differential Geometry A
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Algebraic Differential Geometry B
          Fall, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Algebraic Differential Geometry C
          Spring, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Seminar on Algebraic Differential Geometry D
          Fall, 理学研究科
        • From Apr. 2017, To Mar. 2018
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Seminar on Algebraic Differential Geometry a
          Spring, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Algebraic Differential Geometry b
          Fall, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Algebraic Differential Geometry c
          Spring, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Algebraic Differential Geometry d
          Fall, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Seminar on Algebraic Differential Geometry a
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Algebraic Differential Geometry b
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Algebraic Differential Geometry c
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Algebraic Differential Geometry d
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Seminar on Algebraic Differential Geometry a
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Algebraic Differential Geometry b
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Algebraic Differential Geometry c
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Algebraic Differential Geometry d
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences
          Spring, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Seminar on Algebraic Differential Geometry a
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Algebraic Differential Geometry b
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Algebraic Differential Geometry c
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Algebraic Differential Geometry d
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Forefront of Mathematics and Mathematical Science II
          Fall, 理学部
        • From Apr. 2021, To Mar. 2022
          Special study course (Mathematical Science)
          Year-long, 理学部
        • From Apr. 2021, To Mar. 2022
          Invitation to Modern Mathematics and Mathematical Sciences - Basic concepts and their role in various sciences
          Spring, 全学共通科目

        Participation in PhD Defense

        • The reduced Dijkgraaf-Witten invariant of double twist knots in the Bloch group of Fp
          KARUO HIROAKI, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        • The universal covers of hypertoric varieties and Bogomolov’s decomposition
          NAGAOKA TAKAHIRO, Graduate School of Science, Sub-chief Examiner
          23 Mar. 2022
        list
          Last Updated :2025/06/24

          Administration

          School management (title, position)

          • From 01 Apr. 2017, To 31 Mar. 2020
            京都大学国際戦略本部国際化推進懇談会構成員
          • From 01 Sep. 2016, To 31 Mar. 2020
            京都大学留学支援ネットワークメンバー
          • From 01 Apr. 2017, To 31 Mar. 2019
            図書館協議会 協議員
          • From 01 Apr. 2017, To 31 Mar. 2019
            広報委員会 委員
          • From 01 Apr. 2017, To 31 Mar. 2019
            広報委員会 紅萠編集専門部会
          • From 01 Apr. 2018, To 31 Mar. 2019
            教育制度委員会 委員

          Faculty management (title, position)

          • From 01 Apr. 2025, To 31 Mar. 2026
            理学研究科数学・数理解析専攻 数理解析系 (主任第2代理)
          • From 07 Oct. 2021, To 12 Oct. 2023
            運営委員長
          • From 01 Apr. 2023, To 31 Mar. 2025
            理学研究科数学・数理解析専攻数理解析系主任(第2代理)
          • From 01 Jul. 2015, To 30 Jun. 2017
            京都大学国際交流委員会 委員
          • From 01 Apr. 2014
            建物・施設整備委員会 委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            数理解析研究所副所長
          • From 01 Apr. 2019, To 31 Mar. 2020
            予算委員会 委員長
          • From 01 Apr. 2018
            予算委員会 委員
          • From 01 Apr. 2017
            広報委員会 委員
          • From 01 Apr. 2017, To 31 Mar. 2019
            図書委員会 委員長
          • From 01 Apr. 2019, To 31 Mar. 2020
            環境・安全・衛生管理委員会 委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            人権問題委員会 委員
          • From 01 Apr. 2019, To 31 Mar. 2020
            省エネルギー推進委員会 委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            理学研究科 数学・数理解析専攻 数理解析系主任第2代理
          • From 01 Apr. 2021, To 31 Mar. 2022
            広報委員会 委員長

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