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Kuwagaki, Tatsuki

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

Kuwagaki, Tatsuki
list
    Last Updated :2025/01/21

    Basic Information

    Faculty

    • Faculty of Science

    Academic Degree

    • 15 Sep. 2017
      東京大学博士(数理科学)
    • 24 Mar. 2016
      東京大学修士(数理科学)

    Academic Resume (Undergraduate School/Majors)

    • 早稲田大学系属早稲田実業学校高等部, 卒業
    • 早稲田大学, 先進理工学部物理学科, 卒業

    Research History

    • From Apr. 2022, To Present
      Kyoto University, Graduate School of Science Division of Mathematics, 准教授
    • From Apr. 2020, To Mar. 2022
      Osaka University, Graduate School of Science Department of Mathematics, Assistant Professor
    • From Oct. 2017, To Mar. 2020
      The University of Tokyo, Institute for the Physics and Mathematics of the Universe, Project researcher

    ID,URL

    researchmap URL

    list
      Last Updated :2025/01/21

      Research

      Research Topics, Overview of the research

      • Research Topics

        Mathematics, Geometry, Algebraic Analysis
      • Overview of the research

        I'm studying interactions between geometry and algebraic analysis.

      Papers

      • Adjoints, wrapping, and morphisms at infinity
        Tatsuki Kuwagaki; Vivek Shende
        arXiv, 2023
      • Microlocal categories over the Novikov ring I
        Yuichi Ike; Tatsuki Kuwagaki
        arXiv, 2023
      • h-Riemann--Hilbert correspondence.
        Tatsuki Kuwagaki
        arXiv, 2022
      • An introduction to sheaf quantization
        Tatsuki Kuwagaki
        arXiv, to appear in the proceedings of Takei 60 "Exact WKB Analysis, Microlocal Analysis, Painlevé Equations and Related Topics", 2022
      • Irregular perverse sheaves
        Tatsuki Kuwagaki
        Compositio Mathematica, Mar. 2021, Peer-reviewed
      • Mirror Symmetry for Perverse Schobers from Birational Geometry
        W. Donovan; T. Kuwagaki
        Communications in Mathematical Physics, Jan. 2021, Peer-reviewed
      • The nonequivariant coherent-constructible correspondence for toric stacks
        Tatsuki Kuwagaki
        Duke Mathematical Journal, 15 Aug. 2020, Peer-reviewed
      • Sheaf quantization from exact WKB analysis
        Tatsuki Kuwagaki
        arXiv, Jun. 2020
      • Categorification of Legendrian knots
        Tatsuki Kuwagaki
        Pure and Applied Mathematics Quarterly, 2020, Peer-reviewed
      • Categorical Localization for the Coherent-Constructible Correspondence
        Yuichi Ike; Tatsuki Kuwagaki
        Publications of the Research Institute for Mathematical Sciences, 04 Jan. 2019, Peer-reviewed
      • The nonequivariant coherent-constructible correspondence for toric surfaces
        Tatsuki Kuwagaki
        Journal of Differential Geometry, 01 Oct. 2017, Peer-reviewed

      Misc.

      • Appendix B of "The circle quantum group and the infinite root stack of a curve" by Francesco Sala and Olivier Schiffmann
        Tatsuki Kuwagaki
        Selecta Mathematica, Dec. 2019, Peer-reviewed

      Presentations

      • On the construction of spectral networks
        Tatsuki Kuwagaki
        Kioicho Seminar Spectral network, exact WKB analysis and higher Teichmüller theory, Mar. 2024, Invited
      • Fukaya category and exact WKB analysis
        Tatsuki Kuwagaki
        Various problems in microlocal analysis and asymptotic analysis, Nov. 2023, Invited
      • Exact WKB analysis, sheaf, and Floer theory
        Tatsuki Kuwagaki
        Holomorphic Floer theory and related topics, Kyoto university, Oct. 2023
      • Quantizatin of symplectic geometry
        Tatsuki Kuwagaki
        Math department colloquium, Kyushu University, Oct. 2023, Invited
      • Sheaf-theoretic Fukaya algebra
        Tatsuki Kuwagaki
        15th International Symposium on Natural Sciences, Incheon National university, Oct. 2023, Invited
      • Exact WKB analysis and sheaf quantization
        Tatsuki Kuwagaki
        Quantum math seminar, Sep. 2023, Invited
      • Curved dga from sheaf theory
        Tatsuki Kuwagaki
        Current trends in categorically approach to algebraic and symplectic geometry,II, Jun. 2023, Invited
      • Microlocal category over the Novikov ring,
        Tatsuki Kuwagaki
        Microlocal sheaf theory and the work of Pierre Schapira (Schapira 80), Jun. 2023, Invited
      • Some examples in Hodge Fukaya theory
        Tatsuki Kuwagaki
        ALTReT, May 2023
      • Fukaya category from sheaf theory
        Tatsuki Kuwagaki
        Mathematics Department Colloquium, Kyoto university, Apr. 2023, Invited
      • An introduction to sheaf quantization
        Tatsuki Kuwagaki
        Current trends in categorically approach to algebraic and symplectic geometry, Kavli IPMU, Feb. 2023, Invited
      • Some examples in Hodge-Fukaya theory
        Tatsuki Kuwagaki
        Japan-Korea algebraic geometry conference,IBS-CCG, Feb. 2023, Invited
      • A-brane via sheaves
        Tatsuki Kuwagaki
        RIKKYO MathPhys 2023, Rikkyo university, Jan. 2023, Invited
      • Sheaf-theoretic bounding cochains and bulk deformations
        Tatsuki Kuwagaki
        Mirror symmetry and related topics, Kyoto university, Dec. 2022, Invited
      • Sheaf quantization and RH-correspondence
        Tatsuki Kuwagaki
        Painleve seminar, online, Nov. 2022, Invited
      • Sheaf quantization: various constructions
        Tatsuki Kuwagaki
        Microlocal analysis and asymptotic analysis, RIMS,, Oct. 2022, Invited
      • Algebraic analysis and geometry of sheaef quantization
        Tatsuki Kuwagaki
        JMS Autumn meeting, Hokkaido university, Sep. 2022, Invited
      • Novikov ring in sheafy symplectic geometry
        Tatsuki Kuwagaki
        Geometry symposium, Tokyo university of science, Sep. 2022, Invited
      • Fukaya categories of exact symplectic manifolds via sheaf theory
        Tatsuki Kuwagaki
        Calabi-Yau Manifolds and Mirror Symmetry - past, present, and future -, Gakushuin university, Aug. 2022, Invited
      • On the Fukaya-sheaf correspondence
        Tatsuki Kuwagaki
        Differential topology seminar, Kyoto university, Jun. 2022, Invited
      • An introduction to perverse schober
        FGC-Higher Structures Seminars, Feza Gursey Research Center for Physics and Mathematics, May 2022, Invited
      • RH and WKB
        Tatsuki Kuwagaki
        D-Modules: Applications to Algebraic Geometry, Arithmetic and Mirror Symmetry, CIRM, Apr. 2022, Invited
      • Sheaf quantization and Riemann—Hilbert correspondence
        Tatsuki Kuwagaki
        Geometry, Symmetry and Physics Seminar, Yale University, Mar. 2022, Invited
      • Riemann--Hilbert correspondence and WKB analysis
        Tatsuki Kuwagaki
        Mathematics Department Colloqium, Jan. 2022, Invited
      • Sheaf quantization of Lagrangian submanifolds
        Tatsuki Kuwagaki
        Complex Geometry symposium, Nov. 2021, Invited
      • Exact WKB analysis and Riemann--Hilbert correspondence
        Tatsuki Kuwagaki
        Exact WKB Analysis, Microlocal Analysis, Painlevé Equations and Related Topics, Oct. 2021, Invited
      • Sheaf quantization and exact WKB analysis
        Tatsuki Kuwagaki
        MSJ Autumn meeting, Sep. 2021
      • Sheaf quantization and principal cluster variety
        Tatsuki Kuwagaki
        Infinite Analysis 2021, Sep. 2021, Invited
      • An introduction to sheaf-theoretic study of symplectic geometry
        Tatsuki Kuwagaki
        Lectures series, Academia Sinica, Mar. 2022, Invited
      • Exact WKB analysis and sheaf quantization
        Tatsuki Kuwagaki
        Around D-modules nowadays, University of Lisbon, Portugal (online), Jul. 2021, Invited
      • Sheaf quantization and cluster coordinate
        Tatsuki Kuwagaki
        South Osaka Algebra seminar, OCAMI, Japan, Jul. 2021, Invited
      • Sheaf quantization and irregular singularity
        Tatsuki Kuwagaki
        Geometric representation theory seminar, YMSC, China (online), Apr. 2021, Invited
      • Sheaf quantization: example and construction
        Tatsuki Kuwagaki
        Representation theory seminar, RIMS, Kyoto (online), Apr. 2021, Invited
      • Sheaf quantization and exact WKB analysis
        Tatsuki Kuwagaki
        QMAP seminar, UC Davis, USA (online), Apr. 2021, Invited
      • Sheaf quantization from exact WKB analysis
        桑垣樹
        日本数学会年会, 17 Mar. 2021
      • Exact WKB analysis, Fukaya category and RH correspondence
        桑垣樹
        代数解析幾何セミナー、鹿児島大学(online), Feb. 2021, Invited
      • Sheaf quantization and exact WKB analysis
        桑垣樹
        RANT seminar, CUHK(online), Feb. 2021, Invited
      • Lecture series (4 hours) on symplectic geometry in algebraic analysis
        桑垣樹
        Legendrian, cluster algebras, and mirror symmetry, IBS-CGP, Korea (online), Jan. 2021, Invited
      • Cluster coordinates from sheaf quantization of spectral curve
        桑垣樹
        Legendrian, cluster algebras, and mirror symmetry, IBS-CGP, Korea (online), Jan. 2021, Invited
      • Sheaf quantization from spectral network
        桑垣樹
        Math seminar, Michigan State University (online), Sep. 2020, Invited
      • Sheaf quantization and cluster coordinate
        桑垣樹
        紀尾井町セミナー、城西大学(online), Aug. 2020, Invited
      • Sheaf quantization from spectral network
        桑垣樹
        GTM seminar, Kavli IPMU (online), Jul. 2020, Invited
      • Symplectic geometry of exact WKB analysis
        桑垣樹
        代数幾何学セミナー、大阪大学(online), Jun. 2020, Invited
      • Symplectic geometry of exact WKB analysis
        桑垣樹
        Freemath seminar, King`s college London (online), Jun. 2020, Invited
      • Sheaf quantization and microlocal category
        桑垣樹
        集中セミナー、名古屋大学, Feb. 2020, Invited
      • Microlocal sheaf theory and Fukaya category
        桑垣樹
        集中講義、京都大学数学教室, Feb. 2020, Invited
      • Sheaf quantization and microlocal category
        桑垣樹
        京都大学数学教室談話会, Feb. 2020, Invited
      • Microlocal category of higher genus surfaces and their products
        桑垣樹
        シンプレクティック幾何セミナー、名古屋大学, Nov. 2019, Invited
      • Riemann--Hilbert correspondence and Fukaya category
        桑垣樹
        立教数理物理セミナー、立教大学, Jul. 2019, Invited
      • Riemann--Hilbert correspondence and Fukaya category
        桑垣樹
        Homological Algebra Microlocal analysis and Symplectic topology, CIRM, Montreal, Jun. 2019, Invited
      • Irregular Riemann--Hilbert correspondence and Novikov ring
        桑垣樹
        Workshop on Riemann-Hilbert correspondence and D-modules, Humbolt University, Berlin, Germany, May 2019, Invited
      • Riemann--Hilbert correspondence and Fukaya category (poster session)
        桑垣樹
        D-modules, quantum geometry and related topics, RIMS, Dec. 2018
      • Riemann--Hilbert correspondence and Fukaya category
        桑垣樹
        Mathematical Physics seminar, Peking University, Beijing, China, Dec. 2018, Invited
      • Riemann--Hilbert correspondence and Fukaya category
        桑垣樹
        Department Colloquium, UC Berkeley, California, USA, Nov. 2018, Invited
      • Categorification of Legendrian knots
        桑垣樹
        Categorical and Analytic Invariants in Algebraic Geometry IV, 北海道大学, Nov. 2018, Invited
      • Riemann--Hilbert correspondence and Fukaya category
        桑垣樹
        IBS-CGP seminar, IBS-CGP, Pohang, Korea, Oct. 2018, Invited
      • Irregular Riemann--Hilbert correspondence, irregular perverse sheaves, and Fukaya category
        桑垣樹
        葉山シンポジウム、湘南ビレッジセンター, Jul. 2018, Invited
      • Fukaya category and microlocal sheaf theory
        桑垣樹
        Symplectic geometry and around、函館, Mar. 2018, Invited
      • Microlocal geometry, Fukaya category, and mirror symmetry
        桑垣樹
        早稲田若手数学異分野交流会 、早稲田大学, Mar. 2018, Invited
      • Fukaya category and mirolocal sheaf theory, and its application
        桑垣樹
        若者のための現代幾何入門、東京大学, Mar. 2018, Invited
      • Fukaya categories of compact surfaces without counting
        桑垣樹
        Winter School and Workshop "Riemann-Hilbert correspondences", Padua University, Padua, Italy, Feb. 2018
      • On sheaf quantization of Lagrangian submanifolds
        桑垣樹
        GTM seminar, Kavli IPMU, Jan. 2018, Invited
      • Fukaya category of the projective line and microlocal sheaf theory
        桑垣樹
        Mirror symmetry and related topics 2017,京都大学, Dec. 2017, Invited
      • An introduction to the coherent-constructible correspondence
        桑垣樹
        Berkeley-Tokyo Summer School "Geometry, Representation Theory, and Mathematical Physics", University of California, Berkeley, California, USA, Aug. 2017, Invited
      • Introduction to Bridgeland's Riemann-Hilbert problem from Donaldson-Thomas theory
        桑垣樹
        Aspects of Mirror Symmetry Kyoto 2017、京都大学, Jun. 2017
      • Lectures on (1)Introduction to constructible sheaves and Nadler-Zaslow equivalence, (2)Introduction to coherent-constructible correspondence, (3)Proof of coherent-constructible correspondence
        桑垣樹
        Mini workshop on Microlocal Geometry、名古屋大学, Apr. 2017, Invited
      • Homological mirror symmetry for toric stacks via micolocal geometry
        桑垣樹
        Geometry, Analysis and Mathematical Physics、京都大学, Feb. 2017, Invited
      • Homological mirror symmetry for toric stacks via micolocal geometry
        桑垣樹
        複素代数幾何セミナー、大阪大学, Jan. 2017, Invited
      • On the coherent-constructible correspondence
        桑垣樹
        D-modules and Hodge theory, Kavli IPMU, Jan. 2017, Invited
      • Microlocal-geometric approach to homological mirror symmetry for toric varieties
        桑垣樹
        Mathematics seminar, Korea Institute for Advanced Study, Seoul, Korea, Dec. 2016, Invited
      • Homological mirror symmetry via constructible sheaves
        桑垣樹
        MS seminar, Kavli IPMU, Nov. 2016, Invited
      • On the coherent-constructible correspondence
        桑垣樹
        城崎代数幾何シンポジウム, Oct. 2016, Invited
      • The nonequivariant coherent-constructible correspondence for toric stacks
        桑垣樹
        Representation Theory, Geometry, and Combinatorics Seminar, University of California, Berkeley, San Francisco, USA, Sep. 2016, Invited
      • Coherent-constructible correspondence
        桑垣樹
        Mini workshop on mirror symmetry、京都大学, Oct. 2015, Invited
      • An introduction to Stability in Fukaya categories by Haiden-Katzarkov-Kontsevich
        桑垣樹
        Summer School ``Symplectic Geometry and Bridgeland stability", 北海道大学, Aug. 2015, Invited
      • The nonequivariant coherent-constructible correspondence for toric surfaces
        桑垣樹
        Tokyo-Berkeley Summer School "Geometry and Mathematical Physics" student session, Kavli IPMU, Jul. 2015
      • A noncommutative approach to Landau-Ginzburg B-brane categories
        桑垣樹
        代数若手研究会、名古屋大学, Mar. 2015
      • The nonequivariant coherent-constructible correspondence for toric surfaces
        桑垣樹
        日本数学会秋季総合分科会, Sep. 2015
      • Categorical localization for the coherent-constructible correspondence, (poster session)
        桑垣樹
        Summer school 2016 of the IMJ-PRG ``Symplectic topology, sheaves and mirror symmetry'', Institut de Math\`ematiques de Jussieu-Paris Rive Gauche, Paris, France, Jul. 2016

      Awards

      • 17 Apr. 2024
        科学技術分野の文部科学大臣表彰若手科学者賞(令和6年度)
      • 17 Apr. 2024
        令和6年度科学技術分野の文部科学大臣表彰若手科学者賞
      • 14 Sep. 2022
        2022年度日本数学会幾何学賞
      • 24 Mar. 2016
        数理科学研究科長賞(東京大学大学院数理科学研究科)
      • 15 Mar. 2014
        並木賞(早稲田大学先進理工学部物理学科)

      External funds: Kakenhi

      • 層量子化の幾何学と代数解析学
        Grant-in-Aid for Early-Career Scientists
        Basic Section 11020:Geometry-related
        Kyoto University
        桑垣 樹
        From 01 Apr. 2022, To 31 Mar. 2027, Granted
        シンプレクティック幾何;深谷圏;リーマン・ヒルベルト対応;完全WKB解析;変形量子化;層量子化;超局所層理論
      • Perverse sheaves and schobers
        Grant-in-Aid for Scientific Research (B)
        Basic Section 11010:Algebra-related
        The University of Tokyo
        Bondal Alexey
        From 01 Apr. 2020, To 31 Mar. 2025, Granted
        schober;schobers;Derived categories;Floor theory;noncommutative;resolutions;Schober;Derived category;Perverse sheaves;Minimal Model Program;Algebraic varieties;coherent sheaf;derived category;complex manifold;Chern classes;quantization;spherical functor
      • Study of microlocal category and homological mirror symmetry
        Grant-in-Aid for Early-Career Scientists
        Basic Section 11020:Geometry-related
        Kyoto University;Osaka University;The University of Tokyo
        Tatsuki Kuwagaki
        From 01 Apr. 2018, To 31 Mar. 2023, Project Closed
        深谷圏;シンプレクティック幾何;超局所層理論;ミラー対称性;RH対応;WKB解析;Riemann--Hilbert対応;ホモロジー的ミラー対称性;完全WKB解析;超局所層;リーマン・ヒルベルト対応;変形量子化;層量子化;超局所圏;Riemann-Hilbert対応;超局所幾何
      • Global Study of Primitive Forms
        Grant-in-Aid for Scientific Research (B)
        Basic Section 11020:Geometry-related
        Kyoto University;The University of Tokyo
        斎藤 恭司
        From 01 Apr. 2018, To 31 Mar. 2023, Granted
        原始形式;周期領域;楕円リー環;楕円アルティン群;楕円アルティンモノイド;楕円ルート系;モジュラー群作用;楕円周期領域;原始型式;可積分構造;$K(\pi,1)$-conjecture;周期写像;無限次元リー館;可積分系;ホモトピー群;非キャンセラティブ;高次ホモトピー類;ハイパボリック ルート系;無限次元リー環;表現論;楕円積分;Eisennstein 級数;integrable hierarchy;楕円アルティングン;Drinfeld-Sokorov;安定性条件
      • Period map for primitive forms and their associated root systems and Lie algebras
        Grant-in-Aid for Scientific Research (B)
        Basic Section 11010:Algebra-related
        Kyoto University
        斎藤 恭司
        From 01 Apr. 2023, To 31 Mar. 2028, Granted
        primitive form;periods;elliptic root system;highest weight modules;higher homotopy groups
      • Root systems and Lie algebras associated with period maps for primitive forms
        Grant-in-Aid for Scientific Research (B)
        Basic Section 11010:Algebra-related
        Kyoto University
        斎藤 恭司
        From 01 Apr. 2023, To 31 Mar. 2028, Granted
        原始型式;周期写像と周期領域;一般化ルート系;可積分系;周期領域のホモトピー型;primitive form;periods;elliptic root system;highest weight modules;higher homotopy groups
      • Perverse sheaves and schobers
        Grant-in-Aid for Scientific Research (B)
        Basic Section 11010:Algebra-related
        The University of Tokyo
        Bondal Alexey
        From 01 Apr. 2020, To 31 Mar. 2025, Granted
        coherent sheaf;reflexive sheaf;derived category;NCR;schober;schobers;Derived categories;Floor theory;noncommutative;resolutions;Schober;Derived category;Perverse sheaves;Minimal Model Program;Algebraic varieties;complex manifold;Chern classes;quantization;spherical functor
      list
        Last Updated :2025/01/21

        Education

        Teaching subject(s)

        • From 01 Apr. 2024, To 31 Mar. 2025
          Forefront of Mathematics and Mathematical Science I
          4138, Spring, Faculty of Science, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Advanced Geometry I
          4102, Fall, Faculty of Science, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Linear Algebra with Exercises B
          N152, Fall, Institute for Liberal Arts and Sciences, 3
        • 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
          Calculus with Exercises A
          N149, Spring, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Differential Geometry C
          0534, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Differential Geometry B
          0533, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Differential Geometry A
          0532, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Differential Geometry D
          0535, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Topics in Geometry A
          0271, Fall, Graduate School of Science, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Special study course (Mathematical Science)
          5140, Year-long, Faculty of Science, 12
        • From 01 Apr. 2023, To 31 Mar. 2024
          Forefront of Mathematics and Mathematical Science I
          4138, Spring, Faculty of Science, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Advanced Geometry II
          4103, Spring, Faculty of Science, 2
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Differential Geometry B
          0533, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Differential Geometry A
          0532, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Calculus with Exercises B
          N150, Fall, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Calculus with Exercises A
          N149, Spring, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Topics in Geometry D
          0274, Spring, Graduate School of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Differential Geometry B
          0533, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Linear Algebra with Exercises B
          N152, Fall, Institute for Liberal Arts and Sciences, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Differential Geometry A
          0532, Spring, 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
          Topology
          4131, Spring, Faculty of Science, 2
        • From 01 Apr. 2022, To 31 Mar. 2023
          Graduate Lecture in Topology
          0403, Spring, Graduate School of Science, 2

        Part-time lecturer

        • From 01 Oct. 2023, To 31 Mar. 2024
          九州大学, 大学院数理学府

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