Sakai Yuichi 境優一

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

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

Sakai Yuichi 境 優一

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

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

Project Period (FY)

Research Category

Review Section

Research Institution

On study of modular linear differential equations and their solutions by arithmetic approachPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Vertex operator algebras of rank 2: The Mathur-Mukhi-Sen theorem revisited2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Pseudo-characters of the symplectic fermions and modular linear differential equations2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Vertex operator algebras with central charge 8 and 162020

Author(s)

Journal Title

DOI

Data Source

[Presentation] Modular linear differential equations and vertex operator algebras2024

Author(s)

Organizer

Data Source

[Presentation] On modular-form solutions of certain modular linear differential equations for cocompact groups2023

Author(s)

Organizer

Data Source

[Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2023

Author(s)

Organizer

Data Source

[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)

Organizer

Data Source

[Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

Author(s)

Organizer

Data Source

[Presentation] On modular solutions of a certain modular linear differential equation for cocompact groups2022

Author(s)

Organizer

Data Source

[Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

Author(s)

Organizer

Data Source

[Presentation] On modular solutions of a certain modular linear differential equation for cocompact groups2022

Author(s)

Organizer

Data Source

[Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

Author(s)

Organizer

Data Source

[Presentation] Modular linear differential equations and generalized Rankin-Cohen brackets2022

Author(s)

Sakai Yuichi 境優一