Irie Kei

イリエケイ | Irie Kei

Affiliation and department：
Job title： Associate Professor

Research field (1)： Geometry

Research theme for competitive and other funds (5)：

2024 - 2029 Theory of holomorphic curves, the development of Floer theory and studies on contact and symplectic structures
2019 - 2024 Studies on Floer theory and symplectic, contact structures
2018 - 2023 Symplectic Geometry and Geometry of Loop Spaces
2013 - 2017 Pseudo-holomorphic curves and periodic orbits in Hamiltonian dynamics
2011 - 2012 フレア理論を用いた古典ハミルトン系の研究

Papers (16)：

Kei Irie. Strong closing property of contact forms and action selecting functors. Journal of Fixed Point Theory and Applications. 2024. 26. 2
Kei Irie. Capacities of billiard tables and $$S^1$$-equivariant loop space homology. Journal of Fixed Point Theory and Applications. 2022. 24. 2
Kei Irie. Remarks about the C∞-closing lemma for 3-dimensional Reeb flows. Kyoto Journal of Mathematics. 2021. 61. 2
Kei Irie. Equidistributed periodic orbits of $C^\infty$-generic three-dimensional Reeb flows. Journal of Symplectic Geometry. 2021. 19. 3. 531-566
Kei Irie. Chain level loop bracket and pseudo-holomorphic disks. Journal of Topology. 2020. 13. 2. 870-938

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Lectures and oral presentations (9)：

Strong closing lemmas for closed geodesics and minimal hypersurfaces
(International Congress of Basic Sciences 2024)
シンプレクティック幾何学と閉補題
(2023年度日本数学会年会 2023)
S1-equivariant symplectic capacities of disk cotangent bundles
(From Hamiltonian Dynamics to Symplectic Topology 2021)
Symplectic容量とHamilton力学系の周期軌道
(2019年度日本数学会秋季総合分科会 2019)
生成的なRiemann計量における極小閉超曲面の稠密性
(第65回幾何学シンポジウム 2018)

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Awards (6)：

2024/07 - International Congress of Basic Sciences 2024 Frontiers of Science Award
2024/03 - 日本学士院日本学士院学術奨励賞
2024/03 - 日本学術振興会日本学術振興会賞
2023/03 - 日本数学会春季賞
2022 - 文部科学省文部科学大臣表彰若手科学者賞

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