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I am an NSF postdoctoral fellow at USC, supervised by Sheel Ganatra.
I obtained my PhD from Stanford University in 2025, advised by Yasha Eliashberg.
My research interests lie in contact and symplectic topology. In particular, I'm interested in geometric applications of the various homological invariants (Floer theory, SFT, microlocal sheaf theory) associated to contact and symplectic manifolds. I'm also interested in these invariants' intrinsic structures, and their interrelations.
My email is: eric.kilgore (at) usc (dot) edu
Papers & Preprints
Papers & Preprints
Equivariant Floer cohomology for contactomorphisms of quotient spaces (with Dylan Cant and Jun Zhang)
*Legendrian non-squeezing via microsheaves
Extensible positive loops and vanishing of symplectic cohomology (with Dylan Cant and Jakob Hedicke)
arXiv:2311.18267, accepted for publication in Algebraic and Geometric Topology
*=Submitted for publication
Talks
Talks
USC Topology seminar, September 2024
Northern California Symplectic Geometry Seminar, November 2024
Stony Brook Symplectic Seminar, December 2024
MIT Symplectic Seminar, December 2024
University of Montreal Symplectic Seminar, December 2024
IAS Symplectic Seminar, April 2025
SCGP Program on Contact Geometry, General Relativity and Thermodynamics, February 2026
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