Kikuta Kohei 菊田康平

Researcher Number	10880073
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院理学研究科, 助教
Affiliation (based on the past Project Information) *help	2022 – 2023: 大阪大学, 大学院理学研究科, 助教 2020 – 2021: 中央大学, 理工学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Keywords	Principal Investigator ミラー対称性 / Thurstonコンパクト化 / 等長作用 / 安定性条件の空間 / 自己同値群 / 導来圏 / K3曲面 / 中心群 / 自由群 / spherical twist … More / 写像類群 / 幾何学的有限性 / 双曲幾何学 / 自己同型群 / 安定性条件 / 圏論的エントロピー / parabolic element / elliptic element Less

写像類群との類似に着目したK3曲面の自己同値群の研究Principal Investigator
- Principal Investigator
  
  菊田康平
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Osaka University
  Chuo University
Geometry of autoequivalence groups via isometric actions on the space of stability conditionsPrincipal Investigator
- Principal Investigator
  
  Kikuta Kohei
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Osaka University
  Chuo University

All 2024 2023 2022 2021

All Journal Article Presentation

[Journal Article] Thurston compactifications of spaces of stability conditions on curves2024
- Author(s)
  Kikuta Kohei、Koseki Naoki、Ouchi Genki
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 377 Pages: 2897-2923
- DOI
  10.1090/tran/9104
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14520, KAKENHI-PROJECT-21K13780
[Journal Article] Hochschild Entropy and Categorical Entropy2022
- Author(s)
  Kohei Kikuta, Genki Ouchi
- Journal Title
  
  Arnold Mathematical Journal
  
  Volume: - Issue: 2 Pages: 223-244
- DOI
  10.1007/s40598-022-00210-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13780, KAKENHI-PROJECT-20K22310
[Journal Article] Spherical twists, relations and the center of autoequivalence groups of K3 surfaces2022
- Author(s)
  Federico Barbacovi, Kohei Kikuta
- Journal Title
  
  arXiv:2210.00228
  
  Volume: -
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22310
[Journal Article] Thurston compactifications of spaces of stability conditions on curves2022
- Author(s)
  Kohei Kikuta, Naoki Koseki, Genki Ouchi
- Journal Title
  
  arXiv:2211.08001
  
  Volume: -
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22310
[Journal Article] Thurston compactifications of spaces of stability conditions on curves2022
- Author(s)
  Kohei Kikuta, Naoki Koseki, Genki Ouchi
- Journal Title
  
  arXiv:2211.08001
  
  Volume: -
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13780
[Journal Article] Curvature of the space of stability conditions2022
- Author(s)
  Kikuta Kohei
- Journal Title
  
  Manuscripta Mathematica
  
  Volume: - Issue: 3-4 Pages: 437-456
- DOI
  10.1007/s00229-022-01389-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13780, KAKENHI-PROJECT-20K22310
[Journal Article] Spherical twists, relations and the center of autoequivalence groups of K3 surfaces2022
- Author(s)
  Federico Barbacovi, Kohei Kikuta
- Journal Title
  
  arXiv:2210.00228
  
  Volume: -
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13780
[Journal Article] Serre dimension and stability conditions2021
- Author(s)
  Kikuta Kohei、Ouchi Genki、Takahashi Atsushi
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: - Issue: 1-2 Pages: 997-1013
- DOI
  10.1007/s00209-021-02718-6
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14520, KAKENHI-PROJECT-20K22310, KAKENHI-PROJECT-16H06337, KAKENHI-PROJECT-18H01116
[Journal Article] Spherical twists and the center of autoequivalence groups of K3 surfaces2021
- Author(s)
  Kohei Kikuta
- Journal Title
  
  arXiv:2110.14353
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-20K22310
[Journal Article] Spherical twists and the center of autoequivalence groups of K3 surfaces2021
- Author(s)
  Kohei Kikuta
- Journal Title
  
  arXiv:2110.14353
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Some aspects of autoequivalence groups of derived categories of K3 surfaces2024
- Author(s)
  Kohei Kikuta
- Organizer
  EDGE seminar (The University of Edinburgh)
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Autoequivalence groups of K3 surfaces and Compactifications of spaces of stability conditions2024
- Author(s)
  菊田康平
- Organizer
  大阪大学ミラー対称性セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Autoequivalence groups of K3 surfaces and Mapping class groups2023
- Author(s)
  Kohei Kikuta
- Organizer
  The 8th KTGU Mathematics Workshop for Young Researchers
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Acylindrically hyperbolicity for automorphism groups of K3 surfaces2023
- Author(s)
  菊田康平
- Organizer
  Workshop on Floer theory, categorical dynamics and related topics
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Autoequivalence groups of K3 surfaces and Mapping class groups2023
- Author(s)
  Kohei Kikuta
- Organizer
  The 8th KTGU Mathematics Workshop for Young Researchers
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22310
[Presentation] K3曲面の自己同型群のacylindrical hyperbolicity2023
- Author(s)
  菊田康平
- Organizer
  談話会 (大阪大学)
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] K3曲面の自己同型群の幾何学的有限性2023
- Author(s)
  菊田康平
- Organizer
  第7回幾何学的群論ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] K3曲面の自己同型群および自己同値群の幾何群論2023
- Author(s)
  菊田康平
- Organizer
  九大幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Geometrical finiteness for automorphism groups of K3 surfaces2023
- Author(s)
  Kohei Kikuta
- Organizer
  The 29th Symposium on Complex Geometry 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] K3曲面の導来圏の自己同値群2022
- Author(s)
  Kohei Kikuta
- Organizer
  第67回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Fixed points on the spaces of stability conditions and Thurston compactifications2022
- Author(s)
  Kohei Kikuta
- Organizer
  Workshop on Mirror symmetry and Related Topics Kyoto 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] K3曲面の導来圏の自己同値群2022
- Author(s)
  Kohei Kikuta
- Organizer
  第67回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-20K22310
[Presentation] Fixed points on the spaces of stability conditions and Thurston compactifications2022
- Author(s)
  Kohei Kikuta
- Organizer
  Workshop on Mirror symmetry and Related Topics Kyoto 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22310
[Presentation] Spherical twists and the center of autoequivalence groups of K3 surfaces2022
- Author(s)
  Kohei Kikuta
- Organizer
  大阪大学オンライン代数幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K22310
[Presentation] Spherical twists and the center of autoequivalence groups of K3 surfaces2022
- Author(s)
  Kohei Kikuta
- Organizer
  大阪大学オンライン代数幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Spherical twists and the center of autoequivalence groups of K3 surfaces2022
- Author(s)
  Kohei Kikuta
- Organizer
  Guest talk in Lecture “Categories and dynamical systems” at Tsinghua University
- Invited
- Data Source
  KAKENHI-PROJECT-20K22310
[Presentation] K3曲面の自己同値群と写像類群: 距離空間への等長作用2022
- Author(s)
  Kohei Kikuta
- Organizer
  第69回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-20K22310
[Presentation] K3曲面の自己同値群と写像類群: 距離空間への等長作用2022
- Author(s)
  Kohei Kikuta
- Organizer
  第69回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Spherical twists and the center of autoequivalence groups of K3 surfaces2022
- Author(s)
  Kohei Kikuta
- Organizer
  Guest talk in Lecture “Categories and dynamical systems” at Tsinghua University
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Spherical twists and the center of autoequivalence groups of K3 surfaces2021
- Author(s)
  Kohei Kikuta
- Organizer
  東大京大代数幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Spherical twists and the center of autoequivalence groups of K3 surfaces2021
- Author(s)
  Kohei Kikuta
- Organizer
  東大京大代数幾何セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K22310
[Presentation] Rank 2 free subgroups in autoequivalence groups of Calabi-Yau categories2021
- Author(s)
  Kohei Kikuta
- Organizer
  東京名古屋代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13780
[Presentation] Rank 2 free subgroups in autoequivalence groups of Calabi-Yau categories2021
- Author(s)
  Kohei Kikuta
- Organizer
  東京名古屋代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K22310

1. 大内元気

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

Kikuta Kohei 菊田 康平

Research Projects

Research Products

Co-Researchers

写像類群との類似に着目したK3曲面の自己同値群の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometry of autoequivalence groups via isometric actions on the space of stability conditionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Thurston compactifications of spaces of stability conditions on curves2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hochschild Entropy and Categorical Entropy2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Spherical twists, relations and the center of autoequivalence groups of K3 surfaces2022

Author(s)

Journal Title

Data Source

[Journal Article] Thurston compactifications of spaces of stability conditions on curves2022

Author(s)

Journal Title

Data Source

[Journal Article] Thurston compactifications of spaces of stability conditions on curves2022

Author(s)

Journal Title

Data Source

[Journal Article] Curvature of the space of stability conditions2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Spherical twists, relations and the center of autoequivalence groups of K3 surfaces2022

Author(s)

Journal Title

Data Source

[Journal Article] Serre dimension and stability conditions2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Spherical twists and the center of autoequivalence groups of K3 surfaces2021

Author(s)

Journal Title

Data Source

[Journal Article] Spherical twists and the center of autoequivalence groups of K3 surfaces2021

Author(s)

Journal Title

Data Source

[Presentation] Some aspects of autoequivalence groups of derived categories of K3 surfaces2024

Author(s)

Organizer

Data Source

[Presentation] Autoequivalence groups of K3 surfaces and Compactifications of spaces of stability conditions2024

Author(s)

Organizer

Data Source

[Presentation] Autoequivalence groups of K3 surfaces and Mapping class groups2023

Author(s)

Organizer

Data Source

[Presentation] Acylindrically hyperbolicity for automorphism groups of K3 surfaces2023

Author(s)

Organizer

Data Source

[Presentation] Autoequivalence groups of K3 surfaces and Mapping class groups2023

Author(s)

Organizer

Data Source

Kikuta Kohei 菊田康平