Irie Kei 入江慶

Researcher Number	90645467
Other IDs
Affiliation (Current)	2025: 京都大学, 数理解析研究所, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 京都大学, 数理解析研究所, 准教授 2018 – 2020: 東京大学, 大学院数理科学研究科, 准教授 2013 – 2016: 京都大学, 数理解析研究所, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator レーブ力学系 / ストリング・トポロジー / 周期軌道 / 擬正則曲線 / Hamilton力学系 / シンプレクティック幾何 / 力学系の周期軌道 / シンプレクティック容量 / ループ空間 / Floerホモロジー … More / フレアホモロジー / ストリングトポロジー / 埋込接触ホモロジー / 閉補題 / ハミルトン力学系 … More Except Principal Investigator Floer 理論 / 倉西構造 / ラグランジュ部分多様体 / 接触構造 / シンプレクティック構造 / 正則写像 / Lagrange 部分多様体 / symplectic 構造 / シンプレクティック構造 / 倉西構造と仮装基本類・基本鎖 / orbifold / ミラー対称性 / シンプレクティク orbifold / 正則曲線 / オービフォルド / 正則曲線の理論 Less

Theory of holomorphic curves, the development of Floer theory and studies on contact and symplectic structures
- Principal Investigator
  
  小野薫
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto University
Studies on Floer theory and symplectic, contact structures
- Principal Investigator
  
  Ono Kaoru
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto University
Symplectic Geometry and Geometry of Loop SpacesPrincipal Investigator
- Principal Investigator
  
  入江慶
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kyoto University
  The University of Tokyo
Pseudo-holomorphic curves and periodic orbits in Hamiltonian dynamicsPrincipal Investigator
- Principal Investigator
  
  Irie Kei
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 Other

All Journal Article Presentation

[Journal Article] Strong closing property of contact forms and action selecting functors2024
- Author(s)
  Irie Kei
- Journal Title
  
  Journal of Fixed Point Theory and Applications
  
  Volume: 26 Issue: 2
- DOI
  10.1007/s11784-024-01102-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13407
[Journal Article] Capacities of billiard tables and $$S^1$$-equivariant loop space homology2022
- Author(s)
  Irie Kei
- Journal Title
  
  Journal of Fixed Point Theory and Applications
  
  Volume: 24 Issue: 2
- DOI
  10.1007/s11784-022-00952-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13407, KAKENHI-PROJECT-19H00636
[Journal Article] Symplectic homology of fiberwise convex sets and homology of loop spaces2022
- Author(s)
  Irie Kei
- Journal Title
  
  Journal of Symplectic Geometry
  
  Volume: 20 Issue: 2 Pages: 417-470
- DOI
  10.4310/jsg.2022.v20.n2.a2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13407, KAKENHI-PROJECT-19H00636
[Journal Article] Remarks about the C∞-closing lemma for 3-dimensional Reeb flows2021
- Author(s)
  Kei Irie
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 61 Issue: 2
- DOI
  10.1215/21562261-2021-0003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13407
[Journal Article] Equidistributed periodic orbits of C∞-generic three-dimensional Reeb flows2021
- Author(s)
  Kei Irie
- Journal Title
  
  Journal of Symplectic Geometry
  
  Volume: 19 Issue: 3 Pages: 531-566
- DOI
  10.4310/jsg.2021.v19.n3.a2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13407
[Journal Article] Chain level loop bracket and pseudo-holomorphic disks2020
- Author(s)
  Kei Irie
- Journal Title
  
  Journal of Topology
  
  Volume: 13 Issue: 2 Pages: 870-938
- DOI
  10.1112/topo.12140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13407
[Journal Article] A chain level Batalin-Vilkovisky structure in string topology via de Rham chains2017
- Author(s)
  Kei Irie
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 印刷中 Issue: 15 Pages: 4602-4674
- DOI
  10.1093/imrn/rnx023
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800041
[Journal Article] A $C^\infty$ closing lemma for Hamiltonian diffeomorphisms of closed surfaces2016
- Author(s)
  Masayuki Asaoka, Kei Irie
- Journal Title
  
  Geometric and Functional Analysis
  
  Volume: 26 Issue: 5 Pages: 1245-1254
- DOI
  10.1007/s00039-016-0386-3
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800041, KAKENHI-PROJECT-25287020
[Journal Article] Dense existence of periodic Reeb orbits and ECH spectral invariants2015
- Author(s)
  Kei Irie
- Journal Title
  
  Journal of Modern Dynamics
  
  Volume: 9 Issue: 01 Pages: 357-363
- DOI
  10.3934/jmd.2015.9.357
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800041
[Journal Article] Periodic billiard trajectories and Morse theory on loop spaces2015
- Author(s)
  Kei Irie
- Journal Title
  
  Comment. Math. Helv
  
  Volume: 90 Issue: 1 Pages: 225-254
- DOI
  10.4171/cmh/352
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800041
[Journal Article] Displacement energy of unit disk cotangent bundles2014
- Author(s)
  Kei Irie
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 276 Issue: 3-4 Pages: 829-857
- DOI
  10.1007/s00209-013-1224-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800041
[Journal Article] Symplectic homology of disc cotangent bundles of domains in Euclidean space2014
- Author(s)
  Kei Irie
- Journal Title
  
  J. Symplectic Geom.
  
  Volume: 12 Issue: 3 Pages: 511-552
- DOI
  10.4310/jsg.2014.v12.n3.a4
- NAID
  120005469578
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800041
[Journal Article] Hofer-Zehnder capacity of unit disk cotangent bundles and the loop product2014
- Author(s)
  Kei Irie
- Journal Title
  
  J. Eur. Math. Soc.
  
  Volume: 16 Issue: 11 Pages: 2477-2497
- DOI
  10.4171/jems/491
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800041
[Journal Article] Handle attaching in wrapped Floer homology and brake orbits in classical Hamiltonian systems2013
- Author(s)
  Kei Irie
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 50 Pages: 363-396
- NAID
  120005302083
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] Chain level string topology and de Rham chains2024
- Author(s)
  Kei Irie
- Organizer
  Building-up Differentiable Homotopy Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] String closing property in Reeb and Hamiltonian dynamics2024
- Author(s)
  Kei Irie
- Organizer
  接触構造、特異点、微分方程式及びその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] A conjectural chain model for positive S1-equivariant symplectic homology of star-shaped toric domains in C22023
- Author(s)
  Kei Irie
- Organizer
  Geometry and Topology
- Invited
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] A conjectural chain model for positive S1-equivariant symplectic homology of star-shaped toric domains in C22023
- Author(s)
  Kei Irie
- Organizer
  Persistence homology in symplectic and contact topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] 閉補題とシンプレクティック幾何2023
- Author(s)
  入江慶
- Organizer
  2023年度日本数学会年会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] S^1-equivariant symplectic capacities of disk cotangent bundles2021
- Author(s)
  Kei Irie
- Organizer
  From Hamiltonian Dynamics to Symplectic Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Symplectic容量とHamilton力学系の周期軌道2019
- Author(s)
  入江慶
- Organizer
  日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Symplectic homology capacity of convex bodies2019
- Author(s)
  Kei Irie
- Organizer
  Interactions of symplectic topology and dynamical systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Equidistributed periodic orbits of C-infty-generic three-dimensional Reeb flows2019
- Author(s)
  Kei Irie
- Organizer
  C^0-aspects of symplectic geometry and Hamiltonian dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Periodic billiard trajectories and Morse theory on loop spaces2019
- Author(s)
  Kei Irie
- Organizer
  Workshop on mathematical billiards
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Periodic Reeb orbits and minimal hypersurfaces2019
- Author(s)
  入江慶
- Organizer
  UK-Japan winter school in Leeds:variational problems in geometry and mathematical physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Equidistributed pedioriodic orbits of C-infinity-generic three-dimensional Reeb flows2019
- Author(s)
  Kei Irie
- Organizer
  Analytic low-dimensional dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Equidistributed pedioriodic orbits of C-infinity-generic three-dimensional Reeb flows2019
- Author(s)
  入江慶
- Organizer
  葉層構造の幾何学とその応用
- Invited
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Density of minimal hypersurfaces for generic metrics2018
- Author(s)
  入江慶
- Organizer
  4th China-Japan Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] 生成的なRiemann計量における極小閉超曲面の稠密性2018
- Author(s)
  入江慶
- Organizer
  第６５回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] Chain level string topology, pseudo-holomorphic disks, and Lagrangian submanifolds2018
- Author(s)
  入江慶
- Organizer
  第６５回トポロジーシンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K13407
[Presentation] A $C^\infty$ closing lemma for three-dimensional Reeb flows via embedded contact homology2017
- Author(s)
  Kei Irie
- Organizer
  Beyond Hamilton-Jacobi
- Place of Presentation
  ボルドー（フランス）
- Year and Date
  2017-01-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] A $C^\infty$ closing lemma for three-dimensional Reeb flows via embedded contact homology2016
- Author(s)
  Kei Irie
- Organizer
  Warwick Dynamical Systems Workshop
- Place of Presentation
  コヴェントリー（イギリス）
- Year and Date
  2016-06-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] A $C^\infty$ closing lemma for three-dimensional Reeb flows via embedded contact homology（仮題）2016
- Author(s)
  Kei Irie
- Organizer
  Warwick dynamical systems workshop
- Place of Presentation
  コヴェントリー（イギリス）
- Year and Date
  2016-06-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] A $C^\infty$ closing lemma for three-dimensional Reeb flows via embedded contact homology2016
- Author(s)
  Kei Irie
- Organizer
  Symplectic Geometry and Topology
- Place of Presentation
  エジンバラ（イギリス）
- Year and Date
  2016-07-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] A $C^\infty$ closing lemma for three-dimensional Reeb flows via embedded contact homology2016
- Author(s)
  入江慶
- Organizer
  2016年度日本数学会年会
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-03-17
- Invited
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] A $C^\infty$ closing lemma for three-dimensional Reeb flows via embedded contact homology（仮題）2016
- Author(s)
  Kei Irie
- Organizer
  International conference on dynamical systems
- Place of Presentation
  ブジオス（ブラジル）
- Year and Date
  2016-07-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] A $C^\infty$ closing lemma for three-dimensional Reeb flows via embedded contact homology2016
- Author(s)
  Kei Irie
- Organizer
  International Conference on Dynamical Systems
- Place of Presentation
  ブジオス（ブラジル）
- Year and Date
  2016-07-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] Chain level operations in string topology via de Rham chains2015
- Author(s)
  入江慶
- Organizer
  第62回トポロジーシンポジウム
- Place of Presentation
  名古屋工業大学（愛知県名古屋市）
- Year and Date
  2015-08-07
- Invited
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] Chain level operations in string topology via de Rham chains2015
- Author(s)
  Kei irie
- Organizer
  Moduli spaces in symplectic topology and in gauge theory
- Place of Presentation
  マルセイユ（フランス）
- Year and Date
  2015-06-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] 周期ビリヤード軌道とループ空間上のモース理論2013
- Author(s)
  入江慶
- Organizer
  幾何学阿蘇研究集会
- Place of Presentation
  休暇村南阿蘇
- Invited
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] Symplectic homology of disk cotangent bundles of domains in Euclidean space2013
- Author(s)
  入江慶
- Organizer
  East asian symplectic conference
- Place of Presentation
  鹿児島大学理学部
- Invited
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] Transversality problems in string topology and de Rham chains
- Author(s)
  入江慶
- Organizer
  NCTS(South) Geometry Ｃonference
- Place of Presentation
  国立成功大学（台湾）
- Year and Date
  2014-06-30 – 2014-07-04
- Invited
- Data Source
  KAKENHI-PROJECT-25800041
[Presentation] Transversality problems in string topology and de Rham chains
- Author(s)
  入江慶
- Organizer
  第６１回幾何学シンポジウム
- Place of Presentation
  名城大学
- Year and Date
  2014-08-23 – 2014-08-26
- Invited
- Data Source
  KAKENHI-PROJECT-25800041

1. Ono Kaoru (20204232)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. 枡田幹也 (00143371)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. 三松佳彦 (70190725)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. 赤穂まなぶ (30332935)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. 秦泉寺雅夫 (20322795)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. 松下大介 (90333591)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 石川剛郎 (50176161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 石川卓 (70845742)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 泉屋周一 (80127422)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 大場貴裕 (50814464)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 吉安徹 (20757918)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Irie Kei 入江 慶

Research Projects

Research Products

Co-Researchers

Theory of holomorphic curves, the development of Floer theory and studies on contact and symplectic structures

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies on Floer theory and symplectic, contact structures

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Symplectic Geometry and Geometry of Loop SpacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Pseudo-holomorphic curves and periodic orbits in Hamiltonian dynamicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Strong closing property of contact forms and action selecting functors2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Capacities of billiard tables and $$S^1$$-equivariant loop space homology2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Symplectic homology of fiberwise convex sets and homology of loop spaces2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remarks about the C∞-closing lemma for 3-dimensional Reeb flows2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Equidistributed periodic orbits of C∞-generic three-dimensional Reeb flows2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Chain level loop bracket and pseudo-holomorphic disks2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A chain level Batalin-Vilkovisky structure in string topology via de Rham chains2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A $C^\infty$ closing lemma for Hamiltonian diffeomorphisms of closed surfaces2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dense existence of periodic Reeb orbits and ECH spectral invariants2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Periodic billiard trajectories and Morse theory on loop spaces2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Displacement energy of unit disk cotangent bundles2014

Author(s)

Irie Kei 入江慶