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Sakai Yuichi  境 優一

ORCIDConnect your ORCID iD *help
Researcher Number 10815567
Other IDs
Affiliation (Current) 2025: 久留米工業大学, 工学部, 准教授
Affiliation (based on the past Project Information) *help 2025: 久留米工業大学, 工学部, 准教授
2022 – 2023: 久留米工業大学, 工学部, 任期付助教
2018 – 2021: 九州大学, 多重ゼータ研究センター, 学術研究員
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related
Keywords
Principal Investigator
ヤコビ形式 / 指標関数 / 頂点作用素代数 / 準モジュラー形式 / モジュラー形式 / 保型線形微分方程式 / (準)モジュラー形式 / 単純ヴィラソロ代数 / W代数 / 頂点作用素超代数 … More / 楕円曲線 / 保型微分方程式 / 指標函数 / 量子次元 / 志村曲線 / 楕円関数 / ベクトル値モジュラー形式 Less
  • Research Projects

    (3 results)
  • Research Products

    (22 results)
  • Co-Researchers

    (1 People)
  •  保型微分方程式を用いた(準)保型形式と頂点作用素(超)代数との対応関係の数論的考察Principal Investigator

    • Principal Investigator
      境 優一
    • Project Period (FY)
      2025 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kurume Institute of Technology
  •  保型微分方程式の視点からの保型形式・準保型形式と頂点作用素代数の対応に関する研究Principal Investigator

    • Principal Investigator
      境 優一
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kurume Institute of Technology
      Kyushu University
  •  On study of modular linear differential equations and their solutions by arithmetic approachPrincipal Investigator

    • Principal Investigator
      Sakai Yuichi
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kyushu University

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

  • [Journal Article] Vertex operator algebras with positive central charges whose dimensions of weight one spaces are 8 and 162023

    • Author(s)
      Jiao Xiangyu、Nagatomo Kiyokazu、Sakai Yuichi、Shimakura Hiroki
    • Journal Title

      Journal of Algebra

      Volume: 614 Pages: 330-361

    • DOI

      10.1016/j.jalgebra.2022.10.001

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03505, KAKENHI-PROJECT-21K03183, KAKENHI-PROJECT-19KK0065
  • [Journal Article] Vertex operator algebras of rank 2: The Mathur-Mukhi-Sen theorem revisited2021

    • Author(s)
      Mason Geoffrey、Nagatomo Kiyokazu、Sakai Yuichi
    • Journal Title

      Communications in Number Theory and Physics

      Volume: 15 Issue: 1 Pages: 59-90

    • DOI

      10.4310/cntp.2021.v15.n1.a2

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Journal Article] Pseudo-characters of the symplectic fermions and modular linear differential equations2020

    • Author(s)
      Nagatomo Kiyokazu、Kurokawa Yamato、Sakai Yuichi
    • Journal Title

      Vertex Operator Algebras, Number Theory and Related Topics

      Volume: 753 Pages: 187-211

    • DOI

      10.1090/conm/753/15171

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Journal Article] Vertex operator algebras with central charge 8 and 162020

    • Author(s)
      Nagatomo Kiyokazu、Mason Geoffrey、Sakai Yuichi
    • Journal Title

      Vertex Operator Algebras, Number Theory and Related Topics

      Volume: 753 Pages: 157-186

    • DOI

      10.1090/conm/753/15173

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Modular linear differential equations and vertex operator algebras2024

    • Author(s)
      Yuichi Sakai
    • Organizer
      第3回仙台保型形式小集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] On modular-form solutions of certain modular linear differential equations for cocompact groups2023

    • Author(s)
      Yuichi Sakai
    • Organizer
      日本数学会2023年度年会
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2023

    • Author(s)
      Yuichi Sakai
    • Organizer
      九州代数的整数論2023
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] モジュラー線形微分方程式と頂点作用素代数について2023

    • Author(s)
      境 優一
    • Organizer
      ウインクあいちセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

    • Author(s)
      Yuichi Sakai,Kiyokazu Nagatomo, Don Zagier
    • Organizer
      2022年度日本数学秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] On modular solutions of a certain modular linear differential equation for cocompact groups2022

    • Author(s)
      Yuichi Sakai
    • Organizer
      第146回日本数学会九州支部例会
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

    • Author(s)
      Yuichi Sakai
    • Organizer
      Conference in finite groups and vertex algebras
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] On modular solutions of a certain modular linear differential equation for cocompact groups2022

    • Author(s)
      Yuichi Sakai
    • Organizer
      第146回日本数学会九州支部会
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

    • Author(s)
      Yuichi Sakai
    • Organizer
      早稲田整数論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

    • Author(s)
      Yuichi Sakai
    • Organizer
      RIMS共同研究(公開型)「保型形式,保型L関数とその周辺」
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03183
  • [Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

    • Author(s)
      Yuichi Sakai
    • Organizer
      RIMS共同研究(公開型)「保型形式、保型L関数とその周辺」
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2021

    • Author(s)
      Yuichi Sakai
    • Organizer
      早稲田整数論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Modular linear differential equations : application to vertex operator algebras2020

    • Author(s)
      境 優一
    • Organizer
      The 2nd Meeting for Study of Number theory, Hopf algebras and related topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Characterization of minimal models by modular linear differential equations of order 4 and their modules2020

    • Author(s)
      境 優一,永友清和
    • Organizer
      2020年日本数学会年会
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Vertex operator algebras with central charge 8 and 162019

    • Author(s)
      境 優一,永友清和,G. Mason
    • Organizer
      2019年日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Modular linear differential equations in general form2019

    • Author(s)
      境 優一
    • Organizer
      第 18 回広島仙台整数論集会
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Modular linear differential equations in general form2018

    • Author(s)
      Yuichi Sakai
    • Organizer
      Vertex operator algebras, number theory, and related topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03215
  • [Presentation] Modular linear differential equations in general form2018

    • Author(s)
      Yuichi Sakai
    • Organizer
      2018年度日本数学会 秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K03215
  • 1.  島倉 裕樹
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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