Tanaka Yuji 田中祐二

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Tanaka Yuuji 田中祐二

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Researcher Number	00647993
Other IDs	https://orcid.org/0000-0003-3403-8536
Affiliation (Current)	2024: 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

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] 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 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

Tanaka Yuji 田中 祐二

Tanaka Yuuji 田中 祐二

Research Projects

Research Products

Co-Researchers

Studies in gauge theoretic deformation invariants and their generating functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

The arithmetic and moduli of hyper-Kaehler varieties via non-archimedean methods

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies in the Vafa-Witten invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Kapustin-Witten equations and nonabelian Hodge theory2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On orientations for gauge-theoretic moduli spaces2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Vafa-Witten invariants for projective surfaces I: stable case2019

Author(s)

Journal Title

Data Source

[Journal Article] A perturbation and generic smoothness of the Vafa-Witten moduli spaces on closed symplectic four-manifolds2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the singular sets of solutions to the Kapustin-Witten equations and the Vafa-Witten ones on compact Kahler surfaces2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Vafa-Witten invariants for projective surfaces II: semistable case2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Some bounded properties of solutions to the Vafa-Witten equations on closed ４-manifolds2017

Author(s)

Journal Title

DOI

Data Source

[Presentation] A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

Author(s)

Organizer

Data Source

[Presentation] A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

Author(s)

Organizer

Data Source

[Presentation] A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

Author(s)

Organizer

Data Source

[Presentation] A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications2023

Author(s)

Organizer

Data Source

[Presentation] On a blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces2022

Author(s)

Tanaka Yuji 田中祐二

Tanaka Yuuji 田中祐二