Search for faculty members
Irie, Kei
Research Institute for Mathematical Sciences (RIMS) Associate Professor
list
Last Updated :2025/04/23
Basic Information
Affiliated programs (koza)
Academic Degree
ID,URL
ORCID ID
J-Global ID
researchmap URL
list
Last Updated :2025/04/23
Research
Research Topics, Overview of the research
Research Topics
Symplectic GeometryOverview of the research
Kei Irie is working on symplectic geometry and related topics. In particular, he studies symplectic capacities, with emphasis on applications to the study of periodic orbits of Hamiltonian systems.
Research Areas
Papers
- Strong closing property of contact forms and action selecting functorsKei IrieJournal of Fixed Point Theory and Applications, 09 Apr. 2024, Peer-reviewed
- Capacities of billiard tables and $$S^1$$-equivariant loop space homologyKei IrieJournal of Fixed Point Theory and Applications, Jun. 2022, Peer-reviewed
- Equidistributed periodic orbits of $C^\infty$-generic three-dimensional Reeb flowsKei IrieJournal of Symplectic Geometry, 2021, Peer-reviewed
- Remarks about the C∞-closing lemma for 3-dimensional Reeb flowsKei IrieKyoto Journal of Mathematics, 01 Jun. 2021, Peer-reviewed
- Chain level loop bracket and pseudo‐holomorphic disksKei IrieJournal of Topology, Jun. 2020, Peer-reviewed
- A Chain Level Batalin–Vilkovisky Structure in String Topology Via de Rham ChainsKei IrieInternational Mathematics Research Notices, 03 Aug. 2018, Peer-reviewed
- Density of minimal hypersurfaces for generic metricsKei Irie; Fernando Marques; André NevesAnnals of Mathematics, 01 May 2018, Peer-reviewed
- A C ∞ closing lemma for Hamiltonian diffeomorphisms of closed surfacesMasayuki Asaoka; Kei IrieGeometric and Functional Analysis, Oct. 2016, Peer-reviewed
- DENSE EXISTENCE OF PERIODIC REEB ORBITS AND ECH SPECTRAL INVARIANTSKei IrieJOURNAL OF MODERN DYNAMICS, 2015, Peer-reviewed
- Periodic billiard trajectories and Morse theory on loop spacesKei IrieCOMMENTARII MATHEMATICI HELVETICI, 2015, Peer-reviewed
- SYMPLECTIC HOMOLOGY OF DISC COTANGENT BUNDLES OF DOMAINS IN EUCLIDEAN SPACEKei IrieJOURNAL OF SYMPLECTIC GEOMETRY, Sep. 2014, Peer-reviewed
- Displacement energy of unit disk cotangent bundlesKei IrieMATHEMATISCHE ZEITSCHRIFT, Apr. 2014, Peer-reviewed
- Hofer-Zehnder capacity of unit disk cotangent bundles and the loop productKei IrieJOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2014, Peer-reviewed
- HANDLE ATTACHING IN WRAPPED FLOER HOMOLOGY AND BRAKE ORBITS IN CLASSICAL HAMILTONIAN SYSTEMSKei IrieOSAKA JOURNAL OF MATHEMATICS, Jun. 2013, Peer-reviewed
- Symplectic capacity and short periodic billiard trajectoryKei IrieMATHEMATISCHE ZEITSCHRIFT, Dec. 2012, Peer-reviewed
- VC Dimensions of Principal Component AnalysisYohji Akama; Kei Irie; Akitoshi Kawamura; Yasutaka UwanoDISCRETE & COMPUTATIONAL GEOMETRY, Oct. 2010, Peer-reviewed
Presentations
- Strong closing lemmas for closed geodesics and minimal hypersurfacesKei IrieInternational Congress of Basic Sciences, Jul. 2024, Invited
- シンプレクティック幾何学と閉補題入江慶2023年度日本数学会年会, Mar. 2023, Invited
- S¹-equivariant symplectic capacities of disk cotangent bundlesKei IrieFrom Hamiltonian Dynamics to Symplectic Topology, Apr. 2021, Invited
- Symplectic容量とHamilton力学系の周期軌道入江慶2019年度日本数学会秋季総合分科会, Sep. 2019, Invited
- 生成的なRiemann計量における極小閉超曲面の稠密性入江慶第65回幾何学シンポジウム, Aug. 2018, Invited
- Chain level string topology, pseudo-holomorphic disks, and Lagrangian submanifolds入江慶第65回トポロジーシンポジウム, Aug. 2018, Invited
- A $C^\infty$-closing lemma for three-dimensional Reeb flows via embedded contact homology入江慶2016年度日本数学会年会, Mar. 2016, Invited
- Chain level operations in string topology via de Rham chains入江慶第62回トポロジーシンポジウム, Aug. 2015, Invited
- Displacement energy of unit cotangent bundles入江慶第58回トポロジーシンポジウム, Aug. 2011, Invited
Awards
External funds: Kakenhi
- Studies on Floer theory and symplectic, contact structuresGrant-in-Aid for Scientific Research (A)Medium-sized Section 11:Algebra, geometry, and related fieldsKyoto University小野 薫From 01 Apr. 2019, To 31 Mar. 2024, GrantedFloer 理論;シンプレクティック構造;接触構造;正則曲線;ミラー対称性;倉西構造;オービフォルド;倉西構造と仮装基本類・基本鎖;シンプレクティック 構造;symplectic 構造;Lagrange 部分多様体;正則写像;orbifold
- Symplectic Geometry and Geometry of Loop SpacesGrant-in-Aid for Early-Career ScientistsBasic Section 11020:Geometry-relatedKyoto University;The University of Tokyo入江 慶From 01 Apr. 2018, To 31 Mar. 2024, GrantedFloerホモロジー;ループ空間;シンプレクティック容量;力学系の周期軌道;シンプレクティック幾何;Hamilton力学系;周期軌道;レーブ力学系;擬正則曲線;ストリング・トポロジー
- Pseudo-holomorphic curves and periodic orbits in Hamiltonian dynamicsGrant-in-Aid for Young Scientists (B)Kyoto UniversityKei IrieFrom 01 Apr. 2013, To 31 Mar. 2017, Project Closed擬正則曲線;ハミルトン力学系;周期軌道;ストリング・トポロジー;レーブ力学系;閉補題;埋込接触ホモロジー;ストリングトポロジー;フレアホモロジー
- Theory of holomorphic curves, the development of Floer theory and studies on contact and symplectic structuresGrant-in-Aid for Scientific Research (A)Medium-sized Section 11:Algebra, geometry, and related fieldsKyoto University小野 薫From 01 Apr. 2024, To 31 Mar. 2029, Grantedシンプレクティック構造;接触構造;Floer 理論;ラグランジュ部分多様体;倉西構造
list
Last Updated :2025/04/23
Education
Teaching subject(s)
- From 01 Apr. 2024, To 31 Mar. 2025Invitation to Modern Mathematics and Mathematical SciencesN114, Spring, Institute for Liberal Arts and Sciences, 2
- From 01 Apr. 2024, To 31 Mar. 2025Special study course (Mathematical Science)5140, Year-long, Faculty of Science, 12
- From 01 Apr. 2024, To 31 Mar. 2025Seminar on Geometry and Related Topics c1321, Spring, Graduate School of Science, 3
- From 01 Apr. 2024, To 31 Mar. 2025Seminar on Geometry and Related Topics b1320, Fall, Graduate School of Science, 3
- From 01 Apr. 2024, To 31 Mar. 2025Seminar on Geometry and Related Topics a1319, Spring, Graduate School of Science, 3
- From 01 Apr. 2024, To 31 Mar. 2025Seminar on Geometry and Related Topics d1322, Fall, Graduate School of Science, 3
- From 01 Apr. 2023, To 31 Mar. 2024Seminar on Geometry and Related Topics d1322, Fall, Graduate School of Science, 3
- From 01 Apr. 2023, To 31 Mar. 2024Seminar on Geometry and Related Topics c1321, Spring, Graduate School of Science, 3
- From 01 Apr. 2023, To 31 Mar. 2024Seminar on Geometry and Related Topics b1320, Fall, Graduate School of Science, 3
- From 01 Apr. 2023, To 31 Mar. 2024Seminar on Geometry and Related Topics a1319, Spring, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Geometry and Related Topics c1321, Spring, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Geometry and Related Topics a1319, Spring, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Geometry and Related Topics b1320, Fall, Graduate School of Science, 3
- From 01 Apr. 2022, To 31 Mar. 2023Seminar on Geometry and Related Topics d1322, Fall, Graduate School of Science, 3
- From Apr. 2021, To Mar. 2022Seminar on Geometry and Related Topics aSpring, 理学研究科
- From Apr. 2021, To Mar. 2022Seminar on Geometry and Related Topics bFall, 理学研究科
- From Apr. 2021, To Mar. 2022Seminar on Geometry and Related Topics cSpring, 理学研究科
- From Apr. 2021, To Mar. 2022Seminar on Geometry and Related Topics dFall, 理学研究科
