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Arakawa, Tomoyuki

Research Institute for Mathematical Sciences (RIMS) Professor

Arakawa, Tomoyuki
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    Last Updated :2025/06/09

    Basic Information

    Affiliated programs (koza)

    • Graduate School of Science, 数学・数理解析専攻 解析数理講座, 教授

    Professional Memberships

    • アメリカ数学会
    • 日本数学会
    • American Mathematical Society
    • Mathematical Society of Japan

    Academic Degree

    • 修士（理学）(名古屋大学)
    • 博士（数理学）(名古屋大学)

    Research History

    • From Oct. 2021, To Dec. 2021
      Université de Paris-XI Université Paris-Sud, Laboratoire de mathématiques d'Orsay, LMO Chair
    • From Feb. 2020, To Mar. 2020
      Sorbonne Universite, Visiting Professor,
    • From May 2019, To Jul. 2019
      Laboratoire Paul Painleve, Visiting Professor,
    • From Feb. 2016, To Jan. 2018
      MIT, Math Department, Visiting Associate Professor,, Visiting Associate Professor,
    • From Nov. 2015, To Dec. 2015
      Sao Paulo University, Visiting Professor, Visiting Professor
    • From Sep. 2014, To Oct. 2014
      University of Poitiers, Visiting Professor, Visiting Professor
    • From Oct. 2013, To Jan. 2014
      Friedrich-Alexander-Universit ̈at Erlangen-Nurnberg, Math Department, Visiting Professor, Visiting Professor
    • From Apr. 2013, To May 2013
      The University of Sydney, Math Department, Visiting Professor, Visiting Professor,
    • From Oct. 2011, To Oct. 2011
      London Mathematical Society, London Mathematical Society Scheme 2,
    • Former Institution / Organization Nara Women's University Faculty of Science Department of Mathematics, Associate Professor

    ID,URL

    researchmap URL

    list
      Last Updated :2025/06/09

      Research

      Research Topics, Overview of the research

      • Research Topics

        Representation Theory, Vertex algebras

      • Overview of the research

        I am interested in the representation theory of infinite-dimensional algebras such as Kac-Moody algebras, Virasoro algebra and W-algebras, or more generally, vertex algebras.

      Research Interests

      • 数理物理学
      • 表現論
      • Mathematical Physics
      • Representation Theory

      Research Areas

      • Natural sciences, Algebra

      Papers

      • Weight representations of affine Kac-Moody algebras and small quantum groups
        Tomoyuki Arakawa; Thomas Creutzig; Kazuya Kawasetsu
        Advances in Mathematics, Sep. 2025, Peer-reviewed
      • On Some Simple Orbifold Affine VOAs at Non-admissible Level Arising from Rank One 4D SCFTs
        Tomoyuki Arakawa; Xuanzhong Dai; Justine Fasquel; Bohan Li; Anne Moreau
        Communications in Mathematical Physics, 11 Jan. 2025, Peer-reviewed
      • The centre of the modular affine vertex algebra
        Tomoyuki Arakawa; Lewis Topley; Juan J. Villarreal
        Advances in Mathematics, Feb. 2025, Peer-reviewed
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      • Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras
        Tomoyuki Arakawa; Jethro van Ekeren; Anne Moreau
        Forum of Mathematics, Sigma, 08 Nov. 2024, Peer-reviewed
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      • Corrigendum to “Sheets and associated varieties of affine vertex algebras” [Adv. Math. 320 (2017) 157–209] (Advances in Mathematics (2017) 320 (157–209), (S0001870817302311), (10.1016/j.aim.2017.08.039))
        Tomoyuki Arakawa; Anne Moreau
        Advances in Mathematics, 07 Oct. 2020
      • Rationality and fusion rules of exceptional $\mathcal {W}$-algebras
        Tomoyuki Arakawa; Jethro van Ekeren
        Journal of the European Mathematical Society, 2023, Peer-reviewed
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      • On the nilpotent orbits arising from admissible affine vertex algebras
        Tomoyuki Arakawa; Jethro van Ekeren; Anne Moreau
        Proceedings of the London Mathematical Society, Sep. 2022, Peer-reviewed
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      • Urod algebras and Translation of W-algebras
        Tomoyuki Arakawa; Thomas Creutzig; Boris Feigin
        Forum of Mathematics, Sigma, Jun. 2022, Peer-reviewed
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      • A question of Joseph Ritt from the point of view of vertex algebras
        Tomoyuki Arakawa; Kazuya Kawasetsu; Julien Sebag
        Journal of Algebra, Dec. 2021, Peer-reviewed
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      • Arc Spaces and Chiral Symplectic Cores
        Tomoyuki Arakawa; Anne Moreau
        Publications of the Research Institute for Mathematical Sciences, 08 Oct. 2021, Peer-reviewed, Invited
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      • $\mathbb{Z}_k$-code vertex operator algebras
        Tomoyuki ARAKAWA; Hiromichi YAMADA; Hiroshi YAMAUCHI
        Journal of the Mathematical Society of Japan, Jan. 2021, Peer-reviewed
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      • Simplicity of vacuum modules and associated varieties
        Tomoyuki Arakawa; Cuipo Jiang; Anne Moreau
        Journal de l'École polytechnique — Mathématiques, Jan. 2021, Peer-reviewed
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      • Quantum Langlands duality of representations of W-algebras
        ARAKAWA Tomoyuki; FRENKEL, Edward
        Compos. Math., Dec. 2019, Peer-reviewed
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      • Singular Support of a Vertex Algebra and the Arc Space of Its Associated Scheme
        ARAKAWA Tomoyuki; LINSHAW, Andrew
        Progress in Mathematics, Oct. 2019, Peer-reviewed, Invited
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      • W-algebras as coset vertex algebras
        ARAKAWA Tomoyuki; CREUTZIG Thomas; LINSHAW Andrew R
        Inventiones mathematicae, Oct. 2019, Peer-reviewed
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      • Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
        ARAKAWA Tomoyuki; VAN-EKEREN, Jethro
        Communications in Mathematical Physics, Aug. 2019, Peer-reviewed
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      • Representation theory of W-algebras and Higgs branch conjecture
        ARAKAWA Tomoyuki
        Proc. Int. Cong. of Math 2018 Rio de Janeiro, Apr. 2019, Peer-reviewed, Invited
      • Parafermion vertex operator algebras and W-algebras,
        ARAKAWA Tomoyuki; Ching Hung Lam; Hiromichi Yamada
        Trans. Amer. Math. Soc., Mar. 2019, Peer-reviewed
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      • Quasi-lisse Vertex Algebras and Modular Linear Differential Equations
        ARAKAWA Tomoyuki; KAWASETSU Kazuya
        Progr. Math., Dec. 2018, Peer-reviewed, Invited
      • Associated Varieties and Higgs Branches (A Survey)
        ARAKAWA Tomoyuki
        Contemp. Math., Jul. 2018, Peer-reviewed
      • On the irreducibility of associated varieties of W-algebras
        Tomoyuki Arakawa; Anne Moreau
        Journal of Algebra, 15 Apr. 2018, Peer-reviewed
      • JOSEPH IDEALS and LISSE MINIMAL W-ALGEBRAS
        Tomoyuki Arakawa; Anne Moreau
        Journal of the Institute of Mathematics of Jussieu, 01 Apr. 2018, Peer-reviewed
      • Coset vertex operator algebras and W-algebras of A-type
        Tomoyuki Arakawa; Cuipo Jiang
        Science China Mathematics, 01 Feb. 2018, Peer-reviewed
      • Sheets and associated varieties of affine vertex algebras
        Tomoyuki Arakawa; Anne Moreau
        ADVANCES IN MATHEMATICS, Nov. 2017, Peer-reviewed
      • Orbifolds and Cosets of Minimal W-Algebras
        Tomoyuki Arakawa; Thomas Creutzig; Kazuya Kawasetsu; Andrew R. Linshaw
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Oct. 2017, Peer-reviewed
      • Cosets of Bershadsky-Polyakov algebras and rational -algebras of type A
        Tomoyuki Arakawa; Thomas Creutzig; Andrew R. Linshaw
        SELECTA MATHEMATICA-NEW SERIES, Oct. 2017, Peer-reviewed
      • Weight Representations of Admissible Affine Vertex Algebras
        Tomoyuki Arakawa; Vyacheslav Futorny; Luis Enrique Ramirez
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Aug. 2017, Peer-reviewed
      • Introduction to w-algebras and their representation theory
        Tomoyuki Arakawa
        Springer INdAM Series, 2017, Peer-reviewed, Invited
      • Quantizing mishchenko-fomenko subalgebras for centralizers via affine W-algebras
        T. Arakawa; A. Premet
        Transactions of the Moscow Mathematical Society, 2017, Peer-reviewed, Invited
      • Explicit generators in rectangular affine -algebras of type A
        Tomoyuki Arakawa; Alexander Molev
        LETTERS IN MATHEMATICAL PHYSICS, Jan. 2017, Peer-reviewed
      • Vertex operator algebras associated with Z/kZ-codes
        Tomoyuki Arakawa; Hiromichi Yamada; Hiroshi Yamauchi
        Springer Proceedings in Mathematics and Statistics, 2016, Peer-reviewed
      • Modular affine vertex algebras and baby Wakimoto modules
        ARAKAWA Tomoyuki; WANG Weiqiang
        Proc. Symp. Pure Math., 2016, Peer-reviewed
      • RATIONALITY OF ADMISSIBLE AFFINE VERTEX ALGEBRAS IN THE CATEGORY O
        Tomoyuki Arakawa
        DUKE MATHEMATICAL JOURNAL, Jan. 2016, Peer-reviewed
      • Rationality of W-algebras: principal nilpotent cases
        Tomoyuki Arakawa
        ANNALS OF MATHEMATICS, Sep. 2015, Peer-reviewed
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      • Localization of Affine W-Algebras
        T. Arakawa; T. Kuwabara; F. Malikov
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Apr. 2015, Peer-reviewed
      • Associated Varieties of Modules Over Kac-Moody Algebras and C-2-Cofiniteness of W-Algebras
        Tomoyuki Arakawa
        INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, Peer-reviewed
      • Zhu's algebra, C-2-algebra and C-2-cofiniteness of parafermion vertex operator algebras
        Tomoyuki Arakawa; Ching Hung Lam; Hiromichi Yamada
        ADVANCES IN MATHEMATICS, Oct. 2014, Peer-reviewed
      • TWO-SIDED BGG RESOLUTIONS OF ADMISSIBLE REPRESENTATIONS
        Tomoyuki Arakawa
        REPRESENTATION THEORY, Aug. 2014, Peer-reviewed
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      • Rationality of Bershadsky-Polyakov Vertex Algebras
        Tomoyuki Arakawa
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Oct. 2013, Peer-reviewed
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      • The linkage principle for restricted critical level representations of affine Kac-Moody algebras
        Tomoyuki Arakawa; Peter Fiebig
        COMPOSITIO MATHEMATICA, Nov. 2012, Peer-reviewed
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      • ON THE RESTRICTED VERMA MODULES AT THE CRITICAL LEVEL
        Tomoyuki Arakawa; Peter Fiebig
        TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Sep. 2012, Peer-reviewed
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      • A chiral Borel-Weil-Bott theorem
        Tomoyuki Arakawa; Fyodor Malikov
        ADVANCES IN MATHEMATICS, Mar. 2012, Peer-reviewed
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      • A remark on the C (2)-cofiniteness condition on vertex algebras
        Tomoyuki Arakawa
        MATHEMATISCHE ZEITSCHRIFT, Feb. 2012, Peer-reviewed
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      • W-algebras at the critical level
        Tomoyuki Arakawa
        ALGEBRAIC GROUPS AND QUANTUM GROUPS, 2012, Peer-reviewed
      • Algebras of twisted chiral differential operators and affine localization of g-modules
        Tomoyuki Arakawa; Dmytro Chebotarov; Fyodor Malikov
        SELECTA MATHEMATICA-NEW SERIES, Jan. 2011, Peer-reviewed
      • Representation theory of We-algebras, II
        Tomoyuki Arakawa
        EXPLORING NEW STRUCTURES AND NATURAL CONSTRUCTIONS IN MATHEMATICAL PHYSICS, 2011, Peer-reviewed
      • Representation theory of W-algebras
        Tomoyuki Arakawa
        INVENTIONES MATHEMATICAE, Aug. 2007, Peer-reviewed
      • A new proof of the Kac-Kazhdan conjecture
        Tomoyuki Arakawa
        INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006, Peer-reviewed
      • Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
        T Arakawa
        DUKE MATHEMATICAL JOURNAL, Dec. 2005, Peer-reviewed
      • Vanishing of cohomology associated to guantized Drinfeld-Sokolov reduction
        T Arakawa
        INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004, Peer-reviewed
      • Drinfeld functor and finite-dimensional representations of Yangian
        T Arakawa
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Aug. 1999, Peer-reviewed
      • Duality between zeta iota(n)(C) and the degenerate affine Hecke algebra
        T Arakawa; T Suzuki
        JOURNAL OF ALGEBRA, Nov. 1998, Peer-reviewed
      • Degenerate double affine Hecke algebra and conformal field theory
        T. Arakawa; T. Suzuki; A. Tsuchiya
        Topological field theory, primitive forms and related topics (Kyoto, 1996), 1--34, Progr. Math., 160, Birkhauser, 1998, Peer-reviewed
      • Spectral decomposition of path space in solvable lattice model
        T Arakawa; T Nakanishi; K Oshima; A Tsuchiya
        COMMUNICATIONS IN MATHEMATICAL PHYSICS, Nov. 1996, Peer-reviewed
      • BRST 還元法とW 代数の表現論 (BRST reduction and representation theory of W-algebras）
        荒川知幸
        数理研、2010.10.13, Peer-reviewed

      Misc.

      • $\mathcal{W}$代数の表現について (組合せ論的表現論の諸相)
        荒川 知幸
        数理解析研究所講究録, Jun. 2004
      • DEGENERATE DOUBLE AFFINE HECKE ALGEBRA AND KZ-EQUATION(Hopf algebras and Quantum groups)
        Arakawa Tomoyuki; Suzuki Takeshi; Tsuchiya Akihiro
        RIMS Kokyuroku, May 1997
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      • INTRODUCTION TO W-ALGEBRAS AND THEIR REPRESENTATIONS(Algebraic combinatorics and the related areas of research)
        ARAKAWA TOMOYUKI
        RIMS Kokyuroku, Mar. 2006
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      • INFINITE DIMENSIONAL LIE ALGEBRAS, VERTEX ALGEBRAS AND W-ALGEBRAS(Developments of Cartan Geometry and Related Mathematical Problems)
        ARAKAWA TOMOYUKI
        RIMS Kokyuroku, Jul. 2006
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      • Varieties associated with Kac-Moody vertex algebras and $W$-algberas [algebras] (Finite Groups, Vertex Operator Algebras and Combinatorics)
        Arakawa Tomoyuki
        RIMS Kokyuroku, Jul. 2009
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      • TWO-SIDED BGG RESOLUTIONS AND APPLICATIONS (Combinatorial Representation Theory and Related Topics)
        Arakawa Tomoyuki
        RIMS Kokyuroku, Dec. 2013
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      • Singular vectors and Zhu's Poisson algebra of parafermion vertex operator algebras
        Tomoyuki Arakawa; Ching Hung Lam; Hiromichi Yamada
        Springer Proceedings in Mathematics and Statistics, 2013, Peer-reviewed
      • A Vertex Algebra Attached to the Flag Manifold and Lie Algebra Cohomology
        T. Arakawa; F. Malikov
        LIE THEORY AND ITS APPLICATIONS IN PHYSICS, 2010, Peer-reviewed

      Presentations

      • Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Enveloping Algebras and Geometric Representation Theory, 19 May 2025, The Mathematisches Forschungsinstitut Oberwolfach, Invited
      • Symplectic Singularities and Vertex Algebras”
        Tomoyuki Arakawa
        Colloquium, 13 May 2025, Friedrich-Alexander-Universität Erlangen-Nürnberg, Invited
      • Weight representations of affine Kac-Moody algebras and small quantum groups
        Tomoyuki Arakawa
        Shenzhen Thematic Program “Representation Theory”: Vertex algebras, 21 Apr. 2025, SUSTech International Center for Mathematics, Invited
      • Mini Course 3: Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Supersymmetric Quantum Field Theories, Vertex Operator Algebras, and Geometry, 28 Mar. 2025, Simon Center for Geometry and Physics, Invited
      • Mini Course 2: Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Supersymmetric Quantum Field Theories, Vertex Operator Algebras, and Geometry, 27 Mar. 2025, Simon Center for Geometry and Physics, Invited
      • Mini Course 1: Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Supersymmetric Quantum Field Theories, Vertex Operator Algebras, and Geometry:, 26 Mar. 2025, Simon Center for Geometry and Physics, Invited
      • Chiral Differential Operators on the Basic Affine Space
        Tomoyuki Arakawa
        Geometry, Symmetry and Physics Seminar, 24 Mar. 2025, Yale University, Invited
      • Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Vertex Operators In Enumerative Geometry, 23 Dec. 2024, Tsinghua Sanya International Mathematics Forum, Invited
      • Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Mathematical Physics and Lie Theory Seminar, 16 Oct. 2024, University of Colorado Boulder, Invited
      • Symplectic singularities and vertex algebras (minicourse)
        Tomoyuki Arakawa
        Quantum Groups and Representation Theory, 12 Oct. 2024, North Carolina State University, Invited
      • Generalized Grothendieck’s simultaneous resolution and associated varieties of simple affine vertex algebra
        Tomoyuki Arakawa
        Vertex algebras and related topics, 13 Sep. 2024, 数理解析研究所, Invited
      • Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Algebra Conference, 08 Jul. 2024, SHAANXI NORMAL UNIVERSITY, Invited
      • Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        GAUS-Seminar, 25 Jun. 2024, Technische Universität Darmstadt, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Seminar, 17 Jun. 2024, FAU Erlangen-Nürnberg, Invited
      • Symplectic singularities and vertex algebras (3 lectures)
        Tomoyuki Arakawa
        TYMRC Workshop on quantum algebras and representations, 04 Jun. 2024, Tianyuan Mathematics Research Center, Invited
      • Generalized Grothendieck’s simultaneous resolution and associated varieties of simple affine vertex algebras
        Tomoyuki Arakawa
        Colloquium, 15 May 2024, Shenzhen International Center for Mathematics, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Seminar, 17 Apr. 2024, Institute of Advanced Study, Soochow University, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Colloquium, Department of Mathematics, SUSTech, 30 Nov. 2023, Invited
      • Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Wu Wenjun Forum, 24 Nov. 2023, Shanghai Jiao Tong University, Invited
      • Higher Dimensional Quantum Field Theories and Vertex Algebras
        Tomoyuki Arakawa
        Tsinghua Open Problems in Seminar (TOPS), 02 Nov. 2023, Qiuzhen College, Tsinghua University, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        School Colloquium, Zhejiang University, 12 Apr. 2024, Zhejiang University, Invited
      • Chiral algebras of class S
        Tomoyuki Arakawa
        Seminar on Representation Theory and Integral Systems, 27 Dec. 2023, Harbin Engineering University, Invited
      • Symplectic singularities and vertex algebras
        Tomoyuki Arakawa
        Taipei Conference on Representation Theory VII, 21 Dec. 2023, Academia Sinica, Taiwan, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Colloquium Series, Department of Mathematics, National University of Singapore, 03 Apr. 2024, National University of Singapore, Invited
      • Hilbert Schemes of the points in the plane and quasi-lisse vertex superalgebras
        Tomoyuki Arakawa
        European Quantum Algebra Lectures (EQuAL), 05 Oct. 2023, Cardiff University and University of Nottingham, UK, Invited
      • Bonetti-Meneghelli-Rastelli conjecture for symmetric group
        Tomoyuki Arakawa
        Supersymmetric Quantum Field Theory and Mathematics, 12 Sep. 2023, Pollica Physics Center, Pollica, Italy, Invited
      • Hilbert Schemes of the points in the plane and quasi-lisse vertex superalgebras
        Tomoyuki Arakawa
        Geometric Representation Theory and W-algebras, 29 Aug. 2023, International Centre for Mathematical Sciences, Edinburgh, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        International Algebra Conference in the Philippines, 09 Aug. 2023, University of San Carlos, Invited
      • Hilbert schemes of the points in the plane and quasi-lisse vertexalgebraswith𝑁 = 4symmetry
        Tomoyuki Arakawa
        The 14th Ukraine Algebra Conference, 07 Jul. 2023, Sumy State Pedagogical University, Ukraine, Invited
      • Hilbert Schemes of the points in the place and quasi-lisse vertex algberas with N=4 symmetry
        Tomoyuki Arakawa
        Representation Theory XVIII, 30 Jun. 2023, Inter-University Centre, Dubrovnik, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Bath Algebra, Geometry and Number Theory Seminar, 13 Jun. 2023, University of Bath, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Seminario di Algebra & Geometria, 07 Jun. 2023, Dipartimento di Matematica "Guido Castelnuovo" SAPIENZA Università di Roma, Invited
      • Hilbert schemes of points on the plane and quasi-liise vertex algebras with N=4 symmetry
        Tomoyuki Arakawa
        Interactions between Mathematics and Physics (An event in honor of Victor G. Kac), 01 Jun. 2023, Università La Sapienza, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Conference on Algebraic Representation Theory 2022 (CART 2022), 19 Nov. 2022, University of Tsukuba, Invited
      • On localization of Higgs branch VOAs
        Tomoyuki Arakawa
        Quantum Field Theories and Representation Theory, 28 Mar. 2023, Osaka Metropolitan University, Invited
      • Varieties of nilpotent orbits, Kac-Moody algebras and W-algebras
        Tomoyuki Arakawa
        Workshop and Summer School on Lie Theory and Representation Theory (II), 21 Jul. 2009, East China Normal University, Invited
      • On representations of W-algebras
        Tomoyuki Arakawa
        The Second East Asian Conference of Algebra and Combinatorics, 20 Nov. 2003, 九州大学, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Representation Theory, Calabi–Yau Manifolds, and Mirror Symmetry, 30 Nov. 2022, CMSA, Harvard Univeristy, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        QUANTUM SYMMETRIES, 24 Oct. 2022, Centre de Recherches Mathématiques, Invited
      • VOAs arising from 4-dimensional superconformal field theories
        Tomoyuki Arakawa
        Representation Theory XVII, 07 Oct. 2022, University of Zagreb, Invited
      • 4D/2D duality and quasi-modular forms
        Tomoyuki Arakawa
        Workshop "Modular Forms and Representation Theory", 17 Jul. 2022, Invited
      • Weight representations of affine Kac-Moody algebras and small quantum groups
        Tomoyuki Arakawa
        Geometric Representation Theory, 28 Jun. 2022, Kavli IPMU, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        From Representation Theory to Mathematical Physics and Back, 03 Jun. 2022, The Simons Center for Geometry and Physics, Invited
      • W-algebras (III)
        Tomoyuki Arakawa
        hort courses on Representation theory, Vertex and Chiral Algebras, 14 Apr. 2022, IMPA, Invited
      • W-algebras (II)
        Tomoyuki Arakawa
        Short courses on Representation theory, Vertex and Chiral Algebras 2022年4月11日 IMPA, 13 Apr. 2022, IMPA, Invited
      • W-algebras (I)
        Tomoyuki Arakawa
        Short courses on Representation theory, Vertex and Chiral Algebras, 11 Apr. 2022, IMPA, Invited
      • Weight representations of affine Kac-Moody algebras and small quantum groups
        Tomoyuki Arakawa
        Vertex Algebras and Poisson Geometry, 24 Feb. 2022, SwissMAP Research Station, Invited
      • 4D/2D 双対性と表現論
        荒川知幸
        第 17 回代数・解析・幾何学セミナー, 18 Feb. 2022, 鹿児島大学, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        YMSC Colloquium, 26 Nov. 2021, Yau Mathematical Sciences Center, Tsinghua University, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Online research seminar: Algebra, Geometry & Physics, 23 Nov. 2021, Humboldt-Universität zu Berlin and Max Planck Institute for Mathematics, Invited
      • Weight representations of affine Kac-Moody algebras and small quantum groups
        Tomoyuki Arakawa
        Séminaires : Groupes, Représentations et Géométrie, 19 Nov. 2021, Institut de Mathématiques de Jussieu - Paris Rive Gauche, Invited
      • 4D/2D duality and VOA theory
        Tomoyuki Arakawa
        Quantum Field Theories and Quantum Topology Beyond Semisimplicity, 02 Nov. 2021, BIRS (Banff International Research Station), Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Penn Mathematics Colloquium, 03 Nov. 2021, Department of Mathematics, University of Pennsylvania, Invited
      • Weight representations of affine Kac-Moody algebras and small quantum groups
        Tomoyuki Arakawa
        Séminaire Algèbre ICJ, 21 Oct. 2021, Institut Camille Jordan, the University of Lyon, Invited
      • R-filtration and Vogan filtration
        Tomoyuki Araakwa
        Pure Spinors, Superalgebras, and Holomorphic Twists, 06 Oct. 2021, Heidelberg University, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Séminaire Darboux, 07 Oct. 2021, Le Laboratoire de Physique Théorique et Hautes Énergies (LPTHE), Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Séminaire Arithmétique et Géométrie Algébrique, 05 Oct. 2021, Universite Paris-Saclay, Invited
      • Urod algebras and Translation of W-algebras
        Tomoyuki Arakawa
        MIT Infinite Dimensional Algebra Seminar, 16 Apr. 2021, MIT, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Randomness, Integrability and Representation Theory in Quantum Field Theory 2021, 24 Mar. 2021, Osaka City University, Invited
      • 4D/2D duality and VOA theory
        Tomoyuki Arakawa
        Rocky Mountain Representation Theory Seminar, 11 Feb. 2021, University of Colorado Boulder., Invited
      • Introduction to vertex algebras and their representations I, II, III
        Tomoyuki Arakawa
        Discussion Meeting on Representation Theory 2020, 10 Dec. 2020, Department of Mathematics, Indian Institute of Science, Invited
      • 4D/2D duality and representation theory
        Tomoyuki Arakawa
        Berkeley Informal String-Math Seminar, 06 Oct. 2020, UC Berkeley, Invited
      • Associated varieties and 4D/2D correspondence
        Tomoyuki Arakawa
        String Math 2020, 28 Jul. 2020, Universities of Stellenbosch, South Africa, Invited
      • Urod algebra and translation for W-algebras
        Tomoyuki Arakawa
        LieJor Online Seminar: Algebras, Representations, and Applications, 09 Jul. 2020, サンパウロ大学, Invited
      • Urod algebras and Translation for W-algebras
        Tomoyuki Arakawa
        Online VOA seminar, 08 Jun. 2020, Institute of Mathematics, Academia Sinica, Invited
      • Introduction to vertex algebras III
        Tomoyuki Arakawa
        Thematic trimester program on Representation theory, 18 Feb. 2020, Institut Henri Poincaré, Paris, Invited
      • Introduction to vertex algebras II
        Tomoyuki Arakawa
        Thematic trimester program on Representation theory, 13 Feb. 2020, Institut Henri Poincaré, Paris, Invited
      • Introduction to vertex algebras I
        Tomoyuki Arakawa
        Thematic trimester program on Representation theory, 07 Feb. 2020, Institut Henri Poincaré, Paris, Invited
      • Coset construction of W-algebras and applications
        Tomoyuki Arakawa
        Workshop « Geometry and representation theory », 29 Jan. 2020, Institut Henri Poincare, Paris, Invited
      • 4D/2D duality and Moore-Tachikawa varieties
        ARAKAWA Tomoyuki
        Workshop “Rikkyo MathPhys 2020", 10 Jan. 2020, Research Center for Mathematical Physics, Invited
      • 4D/2D duality and representation theory
        ARAKAWA Tomoyuki
        Conference on Lie and Jordan Algebras, Their Representations and Applications- IX, 09 Jan. 2020, Tianyuan Mathematical Center in Southwest China, Invited
      • 4D/2D duality and Moore-Tachikawa vareities
        ARAKAWA Tomoyuki
        Geometric Representation Theory and Quantum Field Theories, 18 Dec. 2019, The Tsinghua Sanya International Mathematics Forum, Invited
      • 表現論特別講義Ⅱ
        荒川 知幸
        名古屋大学多元数理集中講義（一週間), 25 Nov. 2019, Invited
      • 4D/2D duality and representation theory
        ARAKAWA Tomoyuki
        Colloquium, Osaka City University, 20 Nov. 2019, Invited
      • 4D/2D対応と表現論
        荒川 知幸
        大阪市立大学集中講義（一週間）, 18 Nov. 2019, Invited
      • 4d/2d Duality and Representation Theory
        ARAKAWA Tomoyuki
        International Symposium on “Advances and Perspectives in Representation Theory”, 15 Oct. 2019, Shandong Univeristy, Invited
      • 4D/2D duality and representation theory
        ARAKAWA Tomoyuki
        MS Seminar (Mathematics - String Theory), 26 Sep. 2019, KAVLI IPMU, Invited
      • 4d/2d Duality and Representation Theory
        ARAKAWA Tomoyuki
        Colloquium, Shanghai Jiao Tong University, 13 Sep. 2019, Invited
      • 4D/2D duality and Moore-Tachikawa symplectic varieties
        ARAKAWA Tomoyuki
        REPRESENTATION THEORY AND INTEGRABLE SYSTEMS, 14 Aug. 2019, ETH, Zurich, Switzerland, Invited
      • W-algebas IV
        ARAKAWA Tomoyuki
        Program on Vertex Operator Algebras and Related Topics, 08 Aug. 2019, Program on Vertex Operator Algebras and Related Topics, Invited
      • W-algebras III
        ARAKAWA Tomoyuki
        Program on Vertex Operator Algebras and Related Topics, 07 Aug. 2019, Tianyauan Mathematical Center in Southest China, Invited
      • W-algbras II
        ARAKAWA Tomoyuki
        Program on Vertex Operator Algebras and Related Topics, 06 Aug. 2019, Tianyauan Mathematical Center in Southest China, Invited
      • W-algebras I
        ARAKAWA Tomoyuki
        Program on Vertex Operator Algebras and Related Topics, 05 Aug. 2019, Tianyuan Mathematical Center in Southwest China, Invited
      • Quantum Langlands duality of representations of W-algebras
        ARAKAWA Tomoyuki
        Representation Theory XVI, 25 Jun. 2019, Inter-University Centre, Dubrovnik, Croatia, Invited
      • 4d/2d duality and Moore-Tachikawa symplectic varieties
        ARAKAWA Tomoyuki
        The Mathematical Foundations of Conformal Field Theory and Related Topics -A conference in honor of Yi-Zhi Huang-, 12 Jun. 2019, Chern Institute of Mathematics, Invited
      • 4d/2d duality and Moore-Tachikawa symplectic varieties
        ARAKAWA Tomoyuki
        Séminaire Algèbre Géométrie Algébrique Topologie Algébrique, 06 Jun. 2019, Institut Montpelliérain Alexander Grothendieck, Invited
      • 4d/2d duality and W-algebras
        ARAKAWA Tomoyuki
        Geometric and automorphic aspects of W-algebras, 27 May 2019, The University of Lille, Invited
      • 4D/2D DUALITY AND REPRESENTATION THEORY
        ARAKAWA Tomoyuki
        Colloquium "Sibe Mardešić", University of Zagreb, 22 May 2019, University of Zagreb, Invited
      • 4d/2d Duality and Representation Theory 4
        ARAKAWA Tomoyuki
        International Conference "Vertex Algebras and Geometry of Moduli Spaces", 24 Apr. 2019, National Research University Higher School of Economics, Invited
      • 4d/2d Duality and Representation Theory 3
        ARAKAWA Tomoyuki
        International Conference "Vertex Algebras and Geometry of Moduli Spaces", 24 Apr. 2019, National Research University Higher School of Economics, Invited
      • 4d/2d Duality and Representation Theory 2
        ARAKAWA Tomoyuki
        International Conference "Vertex Algebras and Geometry of Moduli Spaces", 23 Apr. 2019, National Research University Higher School of Economics, Invited
      • 4d/2d Duality and Representation Theory 1
        ARAKAWA Tomoyuki
        International Conference "Vertex Algebras and Geometry of Moduli Spaces", 23 Apr. 2019, National Research University Higher School of Economics, Invited
      • Rationality and fusion rules of exceptional W-algebras
        ARAKAWA Tomoyuki
        Workshop on Finite Groups, vertex algebras and algebraic combinatorics, 26 Mar. 2019, National Cheng Kung University, Invited
      • 4d/2d duality and representation theory
        ARAKAWA Tomoyuki
        Colloquium, University of Lille, 08 Mar. 2019, University of Lille, Invited
      • Chiral algebras of class S and Moore-Tachikawa symplectic varieties
        ARAKAWA Tomoyuki
        Taipei Conference in Representation Theory VI, 08 Jan. 2019, Academia Sinica, Invited
      • Chiral algebras of class S and Moore-Tachikawa symplectic varieties
        ARAKAWA Tomoyuki
        Vertex Algebras and Gauge Theory, 17 Dec. 2018, The Simons Center for Geometry and Physics, Invited
      • モーア・立川多様体と 4d/2d 双対性
        荒川 知幸
        第 17 回岡シンポジュウム, 02 Dec. 2018, 奈良女子大学, Invited
      • Chiral algebras of class S and related problems
        ARAKAWA Tomoyuki
        Workshop on vertex algebras and infinite-dimensional Lie algebras, 23 Nov. 2018
      • Moore-Tachikawa variety and 4d/2d duality
        ARAKAWA Tomoyuki
        Perspectives in Algebraic Analysis, 12 Nov. 2018, 公益財団法人稲盛財団, Invited
      • Chiral algebras of class S and symplectic varieties
        ARAKAWA Tomoyuki
        Theoretical Physics Symposium 2018, 07 Nov. 2018, DESY Hamburg, Invited
      • 4d/2d duality and class S theory
        ARAKAWA Tomoyuki
        Geometric and Categorical Aspects of CFTs, 24 Sep. 2018, The Casa Matemática Oaxaca (CMO), Invited
      • Higgs branch conjecture for class S theory
        ARAKAWA Tomoyuki
        Workshop on Mathematical Physics, 11 Aug. 2018, ICTP-SAIFR, Invited
      • Representation theory of W-algebras and Higgs branch conjecture
        ARAKAWA Tomoyuki
        The International Congress of Mathematicians 2018, 02 Aug. 2018, Invited
      • Higgs branch conjecture for class S theory
        ARAKAWA Tomoyuki
        Vertex algebras, factorization algebras and applications, 18 Jul. 2018, Kavli IPMU, Invited
      • Representation theory of W-algebras and Higgs branch conjecture
        ARAKAWA Tomoyuki
        RIMS Workshop "Vertex Operator Algebras and Symmetries", 10 Jul. 2018, RIMS, Kyoto University, Invited
      • Coset construction and quantum geometric Langlands program
        ARAKAWA Tomoyuki
        VERTEX OPERATOR ALGEBRAS, NUMBER THEORY, AND RELATED TOPICS, 13 Jun. 2018, SACRAMENTO CALIFORNIA, Invited
      • Coset construction and quantum geometric Langlands program
        ARAKAWA Tomoyuki
        京都大学談話会, 18 Apr. 2018, Invited
      • Vertex algebras and symplectic varieties
        ARAKAWA Tomoyuki
        Colloquium, University of Alberta, 29 Mar. 2018, Invited
      • On recent development of representation theory of W-algebras and related topics
        ARAKAWA Tomoyuki
        GAUGE THEORY, GEOMETRIC LANGLANDS AND VERTEX OPERATOR ALGEBRAS, 24 Mar. 2018, Invited
      • Chiralization of Moore-Tachikawa 2d TQFTs
        ARAKAWA Tomoyuki
        The 3rd KTGU Mathematics Workshop for Young Researchers, 17 Feb. 2018, Invited
      • Vertex algebras and symplectic varieties
        ARAKAWA Tomoyuki
        Algebra and Combinatorics Seminar, North Carolina State University, 12 Jan. 2018, Invited
      • Higgs branch conjecture for Class S theories
        ARAKAWA Tomoyuki
        Affine, Vertex and W-algebras, 14 Dec. 2017, Invited
      • Vertex Algebras and Symplectic Varieties
        ARAKAWA Tomoyuki
        William J. Spencer Lectures, Kansas State Univesity, 28 Nov. 2017, Invited
      • Representation theory of W-algebras and Higgs branch conjecture
        ARAKAWA Tomoyuki
        Algebra Seminar, Kansas State University, 27 Nov. 2017, Invited
      • Chiralization of Moore-Tachikawa conjecture
        ARAKAWA Tomoyuki
        Representation Theory, UMassAmherst, 25 Sep. 2017, Invited
      • Vertex algebras and Higgs branche conjecture
        ARAKAWA Tomoyuki
        MIT Infinite Dimensional Algebra Seminar, 22 Sep. 2017, Invited
      • アフィン W 代数をめぐって ー表現論とヒッグス枝予想ー
        荒川 知幸
        山形大学, 12 Sep. 2017, Invited
      • Joseph ideals and Higgs branches
        ARAKAWA Tomoyuki
        Algebraic Modes of Representations The Canicular Days, 18 Jul. 2017, Invited
      • Moore-Tachikawa conjecture and vertex algebras
        ARAKAWA Tomoyuki
        Representation Theory XV, 21 Jun. 2017, Invited
      • Affine W-algebras
        ARAKAWA Tomoyuki
        School Seminar, The University of Melbourne, 26 Apr. 2017, Invited
      • Coset Construction of W-algebras
        ARAKAWA Tomoyuki
        Algebra and Number Theory Seminar, UC Santa Cruz, 10 Mar. 2017, Invited
      • Vertex operator algebras and symplectic varieties
        ARAKAWA Tomoyuki
        Colloquium, UC Santa Cruz, USA, 07 Mar. 2017, Invited
      • GKO construction of minimal series W-algebras
        ARAKAWA Tomoyuki
        MIT Infinite Dimensional Algebra Seminar, 17 Feb. 2017, Invited
      • Moore-Tachikawa conjecture and chiral algebras of class S
        ARAKAWA Tomoyuki
        7th Seminar on Conformal Field Theory, 03 Feb. 2017, Technische Universitat Darmstadt, Invited
      • Moore-Tachikawa conjecture and chiral algebras of class S
        ARAKAWA Tomoyuki
        Seminaire Geometrie Algebrique, 31 Jan. 2017, Laboratoire Paul Painleve, Universite de Lille, Invited
      • Construction of genus zero chiral algebras of class S
        ARAKAWA Tomoyuki
        Exact operator algebras in superconformal field theories, 14 Dec. 2016, Perimeter Institute for Theoretical Physics, Invited
      • Associated varieties of vertex algebras
        ARAKAWA Tomoyuki
        Exact operator algebras in superconformal field theories, 14 Dec. 2016, Perimeter Institute for Theoretical Physics, Invited
      • Moore-Tachikawa conjecture and chiral algebras of class S
        ARAKAWA Tomoyuki
        60th Annual Meeting of the Australian Mathematical Society, 05 Dec. 2016, Invited
      • Moore-Tachikawa conjecture and chiral algebras of class S
        ARAKAWA Tomoyuki
        Sydney-UNSW Joint Colloquium, 25 Nov. 2016, Invited
      • Vertex algebras and symplectic varieties
        ARAKAWA Tomoyuki
        Colloquium, the University of Poitiers, France, 02 Nov. 2016
      • Vertex algebras and symplectic varieties
        ARAKAWA Tomoyuki
        Colloquium, University of Texas at Arlington, 30 Sep. 2016, Invited
      • On the 2dTQFT associated with vertex algebras
        ARAKAWA Tomoyuki
        MIT Infinite Dimensional Algebra Seminar, 09 Sep. 2016, Invited
      • On the 2d TQFT associated with vertex algebras
        ARAKAWA Tomoyuki
        Conference in Finite Groups and Vertex Algebras dedicated to Robert L. Griess on the occasion of his 71st birthday, 26 Aug. 2016, Invited
      • Equivariant affine W-algebras
        ARAKAWA Tomoyuki
        Nilpotent Orbits and Representation Theory, 16 Jun. 2016, Centro di Ricerca Matematica Ennio De Giorgi (CRM), Invited
      • Beyond C2-cofinitness
        ARAKAWA Tomoyuki
        Seminar on Algebra, University of Zagreb, Croatia, 07 Jun. 2016, Invited
      • The Adamovic-Milas conjecture and application
        ARAKAWA Tomoyuki
        Colloquium, University of Zagreb, Croatia, 01 Jun. 2016, Invited
      • Vertex algebras and symplectic varieties
        ARAKAWA Tomoyuki
        CMSA Special Mathematical Physics Seminar, Harvard University, 13 May 2016, Invited
      • Vertex algebras and symplectic varieties
        ARAKAWA Tomoyuki
        Algebra Seminar, University of Virginia, 22 Apr. 2016, Invited
      • Pentagonal number theorem and representation theory
        ARAKAWA Tomoyuki
        Colloquium, University of Virginia, 21 Apr. 2016, Invited
      • Deligne exceptional series, Feigin-Frenkel conjecture, and W-algebras
        ARAKAWA Tomoyuki
        Representation theory and symplectic singularities in honour of Sasha Premet’s 60th birthday, 04 Apr. 2016, Invited
      • Deligne exceptional series, Feigin-Frenkel conjecture, and W-algebras
        ARAKAWA Tomoyuki
        Boston University Geometry and Physics Seminar, 16 Mar. 2016, Invited
      • Associated varieties of vertex algebras
        ARAKAWA Tomoyuki
        MIT Infinite Dimensional Algebra Seminar, 05 Feb. 2016, MIT, Invited
      • Modular invariance of trace functions of Kac-Wakimoto admissible representations
        ARAKAWA Tomoyuki
        Lie and Jordan Algebras, their Representations and Applications VI dedicated to Efim Zelmanov’s 60th birthday, 13 Dec. 2015, Invited
      • Associated varieties and chiral algebras of class S
        ARAKAWA Tomoyuki
        JC String Seminar, 11 Dec. 2015, Theoretical Physics Tnstitute ICTP-SAIFR, Invited
      • Associated varieties of vertex algebras
        ARAKAWA Tomoyuki
        Algebra seminar, Sao Paulo University, 19 Nov. 2015, Invited
      • Sheets and affine vertex algebras
        ARAKAWA Tomoyuki
        Vertex operator algebra and Related Topics, 10 Sep. 2015, Invited
      • Joseph ideals and lisse minimal W-algebras
        ARAKAWA Tomoyuki
        Summer School and Workshop on Lie Theory and Representation Theory IV,East China Normal University, Shanghai, China, 02 Jul. 2015, Invited
      • Admissible representations and minimal models of W-algebras II
        ARAKAWA Tomoyuki
        Representation Theory XIV IUC, Dubrovnik, Croatia,, 25 Jun. 2015
      • Admissible representations and minimal models of W-algebras I
        ARAKAWA Tomoyuki
        Representation Theory XIV IUC, Dubrovnik, Croatia, 22 Jun. 2015, Invited
      • W-algebras and Frenkel- Kac-Wakimoto conjecture
        ARAKAWA Tomoyuki
        Colloquium, Academia Sinica, Taiwan, 12 Mar. 2015, Invited
      • Trace functions of Kac-Wakimoto admissible representations
        ARAKAWA Tomoyuki
        Taitung Workshop on finite groups, VOA and algebraic combinatorics, 08 Mar. 2015, Invited
      • Introduction to W-algebras and their representation theory (12 hours lectures)
        ARAKAWA Tomoyuki
        Minicourse of the session "Vertex algebras, W-algebras, and applications", The Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy, 16 Dec. 2014, Invited
      • Localization of affine W-algebras at the critical level
        ARAKAWA Tomoyuki
        Algebra Seminar, Technische Universität Darmstadt, Darmstadt, Germany, 21 Oct. 2014, Invited
      • Nilpotent orbits, affine Kac-Moody algebras, and affine W-algebra
        ARAKAWA Tomoyuki
        Séminaire Caen Cergy Clermont Paris - Théorie des Représentations, Université Paris Diderot-Paris 7, Paris, France, 17 Oct. 2014, Invited
      • Orbites nilpotentes et W-algèbres affines
        ARAKAWA Tomoyuki
        Séminaire d'algèbre de Lyon, Lyon, France, 09 Oct. 2014, Invited
      • Nilpotent orbits and affine W-algebras
        ARAKAWA Tomoyuki
        Séminaire "Groupes de Lie et espaces des modules”, Université de Genève, Genève, Switzerland, 07 Oct. 2014, Invited
      • Localization of affine W-algebras at the critical level
        ARAKAWA Tomoyuki
        Algebra Seminar, Universit de Poitiers, France, 02 Oct. 2014, Invited
      • 冪零軌道とW代数
        荒川 知幸
        第59回代数学シンポジウム, 11 Sep. 2014, Invited
      • Minimal models of W-algebras
        ARAKAWA Tomoyuki
        Algebraic Lie theory and representation theory, The International Centre for Mathematical Sciences (ICMS), Edinburgh, UK, 01 Sep. 2014, Invited
      • Feigin-Frenkel, Adamovic-Milas, and Frenkel-Kac-Wakimoto
        ARAKAWA Tomoyuki
        Workshop “Lie theory and mathematical physics", Centre de recherches mathématiques, Université de Montréal, Canada, 22 May 2014, Invited
      • The Frenkel-Kac-Raul-Wang conjecture and quantized Drinfeld-Sokolov reduction
        ARAKAWA Tomoyuki
        Hualien Workshop on Finite Groups, VOA, Algebra Combinatorics and Related Topics, National Dong Hua University, Taiwan, 22 Mar. 2014, Invited
      • Affine W-algebras and their representations
        ARAKAWA Tomoyuki
        Algebra Seminar, Unicesite de Poitier, France, 09 Dec. 2013, Invited
      • Affine W-algebras and Vinberg’s problem for centralizers,
        ARAKAWA Tomoyuki
        Emmy-Noether-Seminar, Erlangen, Germany, 06 Dec. 2013, Invited
      • W-Algebras as Generalization of Infinite-Dimensional Lie Algebra
        ARAKAWA Tomoyuki
        Colloquium, Erlangen, Germany,, 03 Dec. 2013, Invited
      • Feigin-Frenkel center and W-algebras II
        ARAKAWA Tomoyuki
        Emmy-Noether-Seminar, Erlangen, Germany, 29 Nov. 2013, Invited
      • Feigin-Frenkel center and W-algebras I
        ARAKAWA Tomoyuki
        Emmy-Noether-Seminar, Erlangen, Germany, 22 Nov. 2013, Invited
      • W-algebras of type A
        Beyond the Moonshine, 09 Jul. 2013, RIMS and Tohoku University, Sendai, Invited
      • W-algebras and Vinberg's problem for centralizers
        Symmetries in Mathematics and Physics II in honor of Prof. Victor Kac's 70th birhday, 28 Jun. 2013, IMPA, Rio de Janeiro, Brazil,, Invited
      • Introduction to representation theory of W-algebras
        ARAKAWA Tomoyuki
        mini-course lecture, 06 May 2013, Invited
      • Introduction to representation theory of W-algebras
        ARAKAWA Tomoyuki
        mini-course lecture, 02 May 2013, Invited
      • Introduction to representation theory of W-algebras
        ARAKAWA Tomoyuki
        mini-course lecture, 29 Apr. 2013, Invited
      • Introduction to representation theory of W-algebras
        ARAKAWA Tomoyuki
        mini-course lecture, 25 Apr. 2013, Invited
      • Introduction to representation theory of W-algebras
        mini-course lecture, 22 Apr. 2013, Sydney Univerisy, Invited
      • Affine W-algebras and Vinberg's problem for centralizers
        Algebra Seminar, 19 Apr. 2013, Sydney University, Australia, Invited
      • An application of affine W-algebras
        Taitung Workshop on group theory, VOA and algebraic combinatorics, 27 Mar. 2013, Taitung University, Taiwan, Invited
      • W代数の表現論
        代数学分科会代数学賞受賞特別講演, 22 Mar. 2013, 日本数学会
      • Semi-infinite restriction functors and applications
        Emmy-Noether-Seminar,, 21 Dec. 2012, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany, Invited
      • Affine category O and representation theory of W-algebras (3 lectures),
        Category O : geometry and categorification, 14 Dec. 2012, Centre International de Rencontres Mathématiques, Invited
      • Recent development in representation theory of W-algebras
        Algebraic Structures in Integrable Systems (3 lectures), 04 Dec. 2012, Moscow Univerity, Invited
      • Nilpotent orbits and the Kac-Wakimoto conjecture
        Conference on Groups, VOAs and Related Structures in Honor of Masahiko Miyamoto,, 11 Sep. 2012, University of Tsukuba, Japan, Invited
      • Two-sided BGG resolutions and applications
        Combinatorial Representation Theory and Related Topics, 10 Sep. 2012, 数理解析研究所, Invited
      • Rationality of W -algebras
        The XXIX Interna- tional Colloquium on Group-Theoretical Methods in Physics, 20 Aug. 2012, Chern Institute of Mathematics Tianjin, China, Invited
      • Localization of W-algebras at the critical level
        Finite Groups and Vertex Operator Algebras in Honor of Professor Hiromichi Yamada’s 60th birthday, 17 Feb. 2012, Woman’s Christian University, Tokyo, Japan, Invited
      • Rationality of admissible affine vertex algebras in the category O
        Conference on Vertex Operator Algebras, Finite Groups and Related Topics, 18 Dec. 2011, Academia Sinica, Taiwan, Invited
      • Affine W-algebras
        Manchester Algebra Seminar, 11 Oct. 2011, Manchester大学, ロンドン数学会, Invited
      • カイラルハミルトニアン還元法と表現論−W代数をめぐって-
        日本数学会秋季総合分科会 無限可積分系セッション特別講演, 01 Oct. 2011, 日本数学会
      • Localization of affine W-algebras at the critical level
        Perspectives in Algebraic Lie Theory, 15 Sep. 2011, Isaac Newton Institute for Mathematical Sciences, Invited
      • Admissible affine vertex algebra of type A
        Algebraic geometry and representation theory seminar, 19 May 2011, Weizmann institute, Israel, Invited
      • Kac-Wakimoto conjecture and associated varieties of modules over Kac-Moody algberas
        Research into vertex operator algebras, finite groups and combinatorics, 16 Dec. 2010, 京都大学数理解析研究所, Invited
      • BRST reduction and representation theory of W-algebras
        談話会, 13 Oct. 2010, 京都大学数理解析研究所, Invited
      • Rationality and smoothness of W-algebras
        Representation Theory of Algebraic Groups and Quantum Groups '10, 02 Aug. 2010, 名古屋大学, Invited
      • Associated varieties of Kac-Wakimoto admissible representations
        USC Algebra Seminar, 19 Apr. 2010, University of Southern California, Invited
      • 4D/2D duality and VOA theory (III)
        Tomoyuki Arakawa
        School on Representation theory, Vertex and Chiral Algebras, 18 Mar. 2022, IMPA, Invited
      • D duality and VOA theory (II)
        Tomoyuki Arakawa
        School on Representation theory, Vertex and Chiral Algebras, 17 Mar. 2022, IMPA, Invited
      • 4D/2D duality and VOA theory (I)
        Tomoyuki Arakawa
        SCHOOL ON REPRESENTATION THEORY, VERTEX AND CHIRAL ALGEBRAS, 15 Mar. 2022, IMPA, Invited

      Awards

      • 2004
        日本数学会, 日本数学会賞建部賢弘賞特別賞
      • 2008
        文部科学省, 文部科学大臣表彰若手科学者賞
      • 22 Mar. 2013
        日本数学会代数学分科会, algebra prize
      • 12 Sep. 2017
        The Matimatical Society of Japan, MSJ Autumn Prize
      • 17 Apr. 2019
        Ministry of Education, Culture, Sports, Science and Technology, The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology, Prizes for Science and Technology

      External funds: Kakenhi

      • Representation theory of vertex algebras for the 21st century
        Grant-in-Aid for Scientific Research (S)
        Broad Section B
        Kyoto University
        荒川 知幸
        From 05 Jul. 2021, To 31 Mar. 2026, Granted
        頂点作用素代数;表現論;4D/2D双対性;W代数;4次元の超対称性場の理論;4次元の場の理論;随伴多様体;4 次元の超対称性場の理論;群の表現論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H04993/
      • 二次元及び四次元の共型場理論に付随した頂点作用素代数の構成と分類
        Grant-in-Aid for JSPS Fellows
        Basic Section 11010:Algebra-related
        Kyoto University
        荒川 知幸
        From 13 Nov. 2020, To 31 Mar. 2023, Granted
        頂点作用素代数;4D/2D双対性;4D/2D 双対性
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20F40018/
      • 二次元及び四次元の共型場理論に付随した頂点作用素代数の構成と分類
        Grant-in-Aid for JSPS Fellows
        Basic Section 11010:Algebra-related
        Kyoto University
        荒川 知幸
        From 25 Sep. 2020, To 31 Mar. 2023, Declined
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20F20018/
      • Deepening the theory of vertex algebras by international joint researches
        Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
        Medium-sized Section 11:Algebra, geometry, and related fields
        Tokyo Woman's Christian University
        山内 博
        From 07 Oct. 2019, To 31 Mar. 2025, Granted
        頂点代数;W代数;共形場理論;4D/2D双対性;テンソル圏;4d/2d双対性;四次元多様体;双対性;不変量
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19KK0065/
      • Vertex algebras and 4-dimensional supersymmetric quantum field theories
        Grant-in-Aid for Challenging Research (Exploratory)
        Medium-sized Section 11:Algebra, geometry, and related fields
        The University of Tokyo
        Hiraku Nakajima
        From 28 Jun. 2019, To 31 Mar. 2024, Project Closed
        頂点代数;４次元超対称性場の量子論;ゲージ理論のクーロン枝;W代数;直交斜交箙ゲージ理論;直交斜交弓箭多様体;Argyres-Douglas理論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19K21828/
      • Chiral algebras of class S and symplectic geometry
        Grant-in-Aid for Challenging Research (Exploratory)
        Kyoto University
        Tomoyuki Arakawa
        From 30 Jun. 2017, To 31 Mar. 2021, Project Closed
        頂点代数;4D/2D双対性;頂点作用素代数;群の表現論;場の理論;群論(含群の表現論);シンプレクティック幾何;弦理論;シンプレック幾何;表現論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K18724/
      • W代数とその応用
        Grant-in-Aid for Scientific Research (A)
        Kyoto University
        荒川 知幸
        From 01 Apr. 2017, To 31 Mar. 2022, Granted
        頂点作用素代数;表現論;W代数;数理物理;群の表現論;無限次元リー環;群論(含群の表現論)
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17H01086/
      • Relation between representations at the critical level and those of level zero for affine Lie algebras and semi-infinite flag manifolds
        Grant-in-Aid for Scientific Research (B)
        Tokyo Institute of Technology
        Satoshi Naito
        From 01 Apr. 2016, To 31 Mar. 2021, Project Closed
        表現論;アフィン量子群の表現論;アフィン・リー環の表現論;レベル・ゼロ表現;半無限旗多様体;旗多様体の量子 K-群;代数学;量子 K-群;同変 K-群;同変量子 K-群;シューベルト多様体;Chevalley 公式;トーラス同変 K-群;アフィン量子群のレベル・ゼロ表現;アフィン・リー環の臨界レベル表現;非対称Macdonald 多項式;Lakshmibai-Seshadri パス;臨界レベルの表現;半無限シューベルト多様体;量子群の表現論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H03920/
      • Geometric methods in vertex algebras
        Grant-in-Aid for Challenging Exploratory Research
        Kyoto University
        Tomoyuki Arakawa
        From 01 Apr. 2014, To 31 Mar. 2017, Project Closed
        群の表現;頂点作用素代数;群論(含群の表現論）;随伴多様体;冪零軌道;群論;表現論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26610006/
      • Research on code vertex operator algebras using parafermion algebras
        Grant-in-Aid for Scientific Research (C)
        Hitotsubashi University
        Hiromichi YAMADA
        From 01 Apr. 2014, To 31 Mar. 2017, Project Closed
        頂点作用素代数;パラフェルミオン代数;アフィンリー代数;W代数;格子;コード;国際研究者交流;中国：台湾
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26400040/
      • New developments of representation theory of W-algebras
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Tomoyuki Arakawa
        From 01 Apr. 2013, To 31 Mar. 2017, Project Closed
        頂点作用素代数;W代数;アフィンリー環;随伴多様体;ヒッグス枝;シューア指数;群論（含群の表現論）;代数学;群論;表現論
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25287004/
      • New developments of vertex algebra theory
        Grant-in-Aid for Challenging Exploratory Research
        Kyoto University
        Tomoyuki ARAKAWA
        From 01 Apr. 2011, To 31 Mar. 2014, Project Closed
        頂点作用素代数;D加群;変型量子化;W代数;アーク空間;アフィンリー環;国際研究者交流;頂点代数;幾何学的表現論;国際情報交換;変形量子化
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23654006/
      • Research on vertex operator algebras associated with parafermion algebras
        Grant-in-Aid for Scientific Research (C)
        Hitotsubashi University
        Hiromichi YAMADA
        From 01 Apr. 2011, To 31 Mar. 2014, Project Closed
        頂点作用素代数;パラフェルミオン代数;アフィンリー代数;W代数;国際研究者交流;台湾;中国;アメリカ;ブルガリア
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23540009/
      • Research on irreducible representations of W-algebras by using lattice vertex operator algebras
        Grant-in-Aid for Scientific Research (C)
        Hitotsubashi University
        Hiromichi YAMADA
        From 01 Apr. 2008, To 31 Mar. 2011, Project Closed
        頂点作用素代数;W代数;国際研究者交流;アメリカ:台湾:中国;アメリカ:中国
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20540012/
      • A comprehensive research of vertex algebras, especially the W-algebras
        Grant-in-Aid for Scientific Research (B)
        Kyoto University;Nara Women's University
        Tomoyuki ARAKAWA
        From 01 Apr. 2008, To 31 Mar. 2013, Project Closed
        W 代数;アフィンリー環;頂点代数;W代数;国際研究者交流　ドイツ、アメリカ、台湾;国際情報交換;国際研究者交流;頂点作用素代数;カイラル微分作用素;臨界レベル;随伴多様体;群の表現論;国際情報交流;指標公式;カイラルD加群
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20340007/
      • Developments of nilpotent geometry and nilpotent analysis
        Grant-in-Aid for Scientific Research (C)
        Kyoto University;Nara Women's University
        Tohru MORIMOTO
        From 01 Apr. 2007, To 31 Mar. 2010, Project Closed
        巾零幾何;巾零解析;フィルター付き多様体;リー環の表現と微分方程式;旗多様体での外在的幾何;線形偏微分方程式系の不変量;カルタン幾何;旗多様体;外在的幾何;国際研究者交流;オーストリア:ベラルーシュ:イタリア:フランス:ポーランド;サブリーマン幾何
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540082/
      • New developments in representation theories of vertex operator algebras and their applications
        Grant-in-Aid for Scientific Research (C)
        The University of Tokyo
        Atsushi MATSUO
        From 01 Apr. 2007, To 31 Mar. 2009, Project Closed
        代数一般;頂点作用素代数;代数学;数理物理;表現論;共形場理論;デザイン
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19540011/
      • 場の理論と表現論
        Grant-in-Aid for Young Scientists (B)
        Nara Women's University
        荒川 知幸
        From 01 Apr. 2005, To 31 Mar. 2008, Project Closed
        W代数;頂点代数;アフィンリー環;スーパーコンフォーマル代数;共形場理論;Whittaker加群;Kostant-Lynch理論;量子還元法
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17740006/
      • 頂点代数とモジュラー形式の幾何学的側面
        Grant-in-Aid for JSPS Fellows
        Basic Section 11010:Algebra-related
        Kyoto University
        荒川 知幸
        From 01 Oct. 2024, To 31 Mar. 2027, Granted
        https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24KF0155/
      list
        Last Updated :2025/06/09

        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
          Seminar on Representation Theory and Vertex Algebras a
          1311, Spring, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Representation Theory and Vertex Algebras d
          1314, Fall, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Representation Theory and Vertex Algebras c
          1313, Spring, Graduate School of Science, 3
        • From 01 Apr. 2025, To 31 Mar. 2026
          Seminar on Representation Theory and Vertex Algebras b
          1312, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Invitation to Modern Mathematics and Mathematical Sciences
          N114, Spring, Institute for Liberal Arts and Sciences, 2
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Representation Theory and Vertex Algebras c
          1313, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Representation Theory and Vertex Algebras b
          1312, Fall, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Representation Theory and Vertex Algebras a
          1311, Spring, Graduate School of Science, 3
        • From 01 Apr. 2024, To 31 Mar. 2025
          Seminar on Representation Theory and Vertex Algebras d
          1314, 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
          Special study course (Mathematical Science)
          5140, Year-long, Faculty of Science, 12
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Representation Theory and Vertex Algebras d
          1314, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Representation Theory and Vertex Algebras c
          1313, Spring, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Representation Theory and Vertex Algebras b
          1312, Fall, Graduate School of Science, 3
        • From 01 Apr. 2023, To 31 Mar. 2024
          Seminar on Representation Theory and Vertex Algebras a
          1311, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Representation Theory and Vertex Algebras b
          1312, Fall, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Representation Theory and Vertex Algebras a
          1311, Spring, Graduate School of Science, 3
        • From 01 Apr. 2022, To 31 Mar. 2023
          Seminar on Representation Theory and Vertex Algebras d
          1314, 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 Representation Theory and Vertex Algebras c
          1313, Spring, Graduate School of Science, 3
        • From Apr. 2011, To Mar. 2012
          Mathematical Theory of Symmetries B
          Fall, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Mathematical Theory of Symmetries B
          Fall, 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
          Invitation to Modern Mathematics and Mathematical Sciences
          Spring, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Mathematical Theory of Symmetries II
          Fall, 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 Infinite-dimensional Algebras A
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Infinite-dimensional Algebras B
          Fall, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Infinite-dimensional Algebras C
          Spring, 理学研究科
        • From Apr. 2014, To Mar. 2015
          Seminar on Infinite-dimensional Algebras 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
          Mathematical Theory of Symmetries II
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Seminar on Representation Theory and Vertex Algebras A
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Representation Theory and Vertex Algebras B
          Fall, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Representation Theory and Vertex Algebras C
          Spring, 理学研究科
        • From Apr. 2015, To Mar. 2016
          Seminar on Representation Theory and Vertex Algebras D
          Fall, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Representation Theory and Vertex Algebras a
          Spring, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Representation Theory and Vertex Algebras b
          Fall, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Representation Theory and Vertex Algebras c
          Spring, 理学研究科
        • From Apr. 2018, To Mar. 2019
          Seminar on Representation Theory and Vertex Algebras d
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Mathematical Theory of Symmetries
          Fall, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Seminar on Representation Theory and Vertex Algebras a
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Representation Theory and Vertex Algebras b
          Fall, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Representation Theory and Vertex Algebras c
          Spring, 理学研究科
        • From Apr. 2019, To Mar. 2020
          Seminar on Representation Theory and Vertex Algebras d
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Special study course (Mathematical Science)
          Year-long, 理学部
        • From Apr. 2020, To Mar. 2021
          Seminar on Representation Theory and Vertex Algebras a
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Representation Theory and Vertex Algebras b
          Fall, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Representation Theory and Vertex Algebras c
          Spring, 理学研究科
        • From Apr. 2020, To Mar. 2021
          Seminar on Representation Theory and Vertex Algebras d
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Forefront of Mathematics and Mathematical Science I
          Spring, 理学部
        • From Apr. 2021, To Mar. 2022
          Seminar on Representation Theory and Vertex Algebras a
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Representation Theory and Vertex Algebras b
          Fall, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Representation Theory and Vertex Algebras c
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Seminar on Representation Theory and Vertex Algebras d
          Fall, 理学研究科

        Participation in PhD Defense

        • On the classification of duality defects in c=2 compact boson CFTs with a discrete group orbifold
          FURUTA YUMA, Graduate School of Science, Sub-chief Examiner
          24 Mar. 2025
        • Affine super Yangians and rectangular W-superalgebras
          UEDA MAMORU, Graduate School of Science, Chief Examiner
          23 Mar. 2022
        • ON THE FEIGIN-TIPUNIN CONJECTURE
          SUGIMOTO SHOMA, Graduate School of Science, Chief Examiner
          23 Mar. 2022
        list
          Last Updated :2025/06/09

          Administration

          School management (title, position)

          • From 01 Apr. 2013, To 31 Mar. 2015
            広報委員会 委員
          • From 01 Apr. 2013, To 31 Mar. 2015
            広報委員会　楽友編集専門部会
          • From 01 Apr. 2013, To 31 Mar. 2015
            広報委員会 楽友編集専門部会
          • From 01 Apr. 2013, To 31 Mar. 2015
            広報委員会 楽友編集専門部会
          • From 01 Apr. 2019, To 31 Mar. 2026
            大学評価委員会点検・評価実行委員会 委員

          Faculty management (title, position)

          • From 01 Apr. 2021
            男女共同参画WG　委員長

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