Eric Kilgore

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; my current projects explore contact non-squeezing phenomena in high dimensions through microlocal techniques and contact homology.

My email is: eric.kilgore (at) usc (dot) edu

Papers & Preprints

*Legendrian non-squeezing via microsheaves, arXiv:2412.03823
(joint with Dylan Cant and Jakob Hedicke) *Extensible positive loops and vanishing of symplectic cohomology, arXiv:2311.18267

*=Submitted for publication

Organization

I was an organizer of the Kylerec workshop (2023-2025)

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

Teaching

Winter 2024: I led sections of MATH 52: Integral Calculus of Several Variables
Winter 2023: I led sections of MATH 53: Differential Equations with Linear Algebra, Fourier Methods, and Modern Applications
Fall 2022: I led sections of MATH 52: Integral Calculus of Several Variables
Fall 2021: I led sections of MATH 51: Linear Algebra, Multivariable Calculus, and Modern Applications

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