IRIE, Kei

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Title
Associate Professor
Field
Geometry
Research interests
Symplectic Floer theory and related topics
Current research

I'm working on Floer theory in symplectic geometry.
I'm also interested in various related topics, such as string topology.

Selected publications
  1. Hofer-Zehnder capacity of unit disk cotangent bundles and the loop product, J. Eur. Math. Soc. (JEMS) 16 (2014), 2477--2497.
  2. Periodic billiard trajectories and Morse theory on loop spaces, Comment. Math. Helv. 90 (2015), 225--254.
  3. Dense existence of periodic Reeb orbits and ECH spectral invariants, J. Mod. Dyn. 9 (2015), 357--363.
  4. (with M. Asaoka) A $C^\infty$ closing lemma for Hamiltonian diffeomorphisms of closed surfaces, Geom. Funct. Anal. 26 (2016), 1245--1254.
  5. A chain level Batalin-Vilkovisky structure in string topology via de Rham chains, Int. Math. Res. Notices, doi: 10.1093/imrn/rnx023
  6. (with F. C. Marques and A. Neves) Density of minimal hypersurfaces for generic metrics, Ann. of Math (2). 187 (2018), 963--972.
Memberships

The Mathematical Society of Japan