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Tanaka Yuji  田中 祐二

… Alternative Names

Tanaka Yuuji  田中 祐二

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Researcher Number 00647993
Other IDs
  • ORCIDhttps://orcid.org/0000-0003-3403-8536
Affiliation (Current) 2025: 名古屋大学, 多元数理科学研究科, 博士研究員
Affiliation (based on the past Project Information) *help 2018 – 2024: 名古屋大学, 多元数理科学研究科, 博士研究員
2016 – 2017: 名古屋大学, 多元数理科学研究科, 研究員
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related / Geometry
Except Principal Investigator
Basic Section 11010:Algebra-related
Keywords
Principal Investigator
ゲージ理論 / 壁越え公式 / 仮想基本類 / 壁超え公式 / (対称)完全障害理論 / ウーレンベック・コンパクト化 / 完全障害理論
Except Principal Investigator
モジュライ / 超ケーラー多様体 / 非アルキメデス幾何
  • Research Projects

    (3 results)
  • Research Products

    (26 results)
  • Co-Researchers

    (6 People)
  •  Studies in gauge theoretic deformation invariants and their generating functionsPrincipal Investigator

    • Principal Investigator
      田中 祐二
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Nagoya University
  •  The arithmetic and moduli of hyper-Kaehler varieties via non-archimedean methods

    • Principal Investigator
      伊藤 哲史
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kyoto University
  •  Studies in the Vafa-Witten invariantsPrincipal Investigator

    • Principal Investigator
      Tanaka Yuuji
    • Project Period (FY)
      2016 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University

All 2023 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

  • [Journal Article] Universal Structures in C-Linear Enumerative Invariant Theories2022

    • Author(s)
      Gross Jacob, Joyce Dominic, Tanaka Yuuji
    • Journal Title

      Symmetry, Integrability and Geometry: Methods and Applications

      Volume: 18

    • DOI

      10.3842/sigma.2022.068

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03246, KAKENHI-PROJECT-16K05125
  • [Journal Article] The Kapustin-Witten equations and nonabelian Hodge theory2022

    • Author(s)
      Liu Chih-Chung、Rayan Steven、Tanaka Yuuji
    • Journal Title

      European Journal of Mathematics

      Volume: 印刷中 Issue: S1 Pages: 23-41

    • DOI

      10.1007/s40879-022-00538-4

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Journal Article] On orientations for gauge-theoretic moduli spaces2020

    • Author(s)
      Joyce Dominic、Tanaka Yuuji、Upmeier Markus
    • Journal Title

      Advances in Mathematics

      Volume: 362 Pages: 106957-106957

    • DOI

      10.1016/j.aim.2019.106957

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Journal Article] Vafa-Witten invariants for projective surfaces I: stable case2019

    • Author(s)
      Tanaka, Yuuji, Thomas, Richard P.
    • Journal Title

      Journal of Algebraic Geometry

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Journal Article] A perturbation and generic smoothness of the Vafa-Witten moduli spaces on closed symplectic four-manifolds2018

    • Author(s)
      Tanaka, Yuuji
    • Journal Title

      Glasgow Mathematical Journal

      Volume: 61 Issue: 2 Pages: 471-486

    • DOI

      10.1017/s0017089518000307

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Journal Article] On the singular sets of solutions to the Kapustin-Witten equations and the Vafa-Witten ones on compact Kahler surfaces2018

    • Author(s)
      Yuuji Tanaka
    • Journal Title

      Geometriae Dedicata

      Volume: 印刷中 Issue: 1 Pages: 177-187

    • DOI

      10.1007/s10711-018-0344-3

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Journal Article] Vafa-Witten invariants for projective surfaces II: semistable case2018

    • Author(s)
      Tanaka Yuuji、Thomas Richard P.
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 13 Issue: 3 Pages: 517-562

    • DOI

      10.4310/pamq.2017.v13.n3.a6

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Journal Article] Some bounded properties of solutions to the Vafa-Witten equations on closed 4-manifolds2017

    • Author(s)
      Yuuji Tanaka
    • Journal Title

      The Quarterly Journal of Mathematics

      Volume: 印刷中 Issue: 4 Pages: 1203-1225

    • DOI

      10.1093/qmath/hax015

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] On the moduli spaces of semistable Higgs sheaves on projective surfaces2023

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Geometry of moduli spaces of Higgs bundles
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03246
  • [Presentation] On a blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Geometry of moduli spaces of Higgs bundles
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03246
  • [Presentation] A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Physics and Special Holonomy
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Physics and Special Holonomy
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03246
  • [Presentation] A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Gauge Theory, Moduli Spaces and Representation Theory, Kashiwa 2023, In honor of the 60th birthday of Hiraku Nakajima
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Gauge Theory, Moduli Spaces and Representation Theory, Kashiwa 2023, In honor of the 60th birthday of Hiraku Nakajima
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03246
  • [Presentation] On a blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Workshop on Algebraic Geometry,
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03246
  • [Presentation] On a blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces2022

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Pacific Rim Complex & Symplectic Geometry Conference
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] On a blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces2022

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Workshop on Mirror symmetry and Related Topics, Kyoto 2022
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03246
  • [Presentation] On a blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces2022

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Pacific Rim Complex & Symplectic Geometry Conference
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03246
  • [Presentation] On a blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces2022

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Workshop on Mirror symmetry and Related Topics, Kyoto 2022
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] On the virtual Euler characteristics of the moduli spaces of semistable sheaves on a complex projective surface2021

    • Author(s)
      田中祐二
    • Organizer
      第16回代数・解析・幾何学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] On the Vafa-Witten theory on closed four-manifolds2018

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Special Holonomy: Progress and Open Problems 2018
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] Vafa-Witten invariants on projective surfaces2017

    • Author(s)
      Yuuji Tanaka
    • Organizer
      Gauge theory and categorification
    • Place of Presentation
      Institute for Pure and Applied Mathematics, UCLA, the U.S.A.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] A construction of Spin(7)-instantons2016

    • Author(s)
      Yuuji Tanaka
    • Organizer
      The second China-Japan geometry conference
    • Place of Presentation
      Fujian Normal University, Fuzhou, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] A construction of Spin(7)-instantons2016

    • Author(s)
      田中祐二
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] Seiberg-Witten type equations on compact symplectic 6-manifolds2016

    • Author(s)
      Yuuji Tanaka
    • Organizer
      13th Taiwan geometry symposium
    • Place of Presentation
      National Cheng Kung University, Tainan, Taiwan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05125
  • [Presentation] A construction of Spin(7)-instantons2016

    • Author(s)
      田中祐二
    • Organizer
      第63回幾何学シンポジウム
    • Place of Presentation
      岡山大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05125
  • 1.  伊藤 哲史 (10456840)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  大島 芳樹 (10746936)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  越川 皓永 (10791452)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  尾高 悠志 (30700356)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  松本 雄也 (50773628)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  津嶋 貴弘 (70583912)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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