Elena Kim
I am a fourth-year math PhD student at MIT, supported by an NSF graduate research fellowship. I will graduate in Spring 2026. Previously, I was an undergrad at Pomona College.I am interested in quantum chaos and microlocal analysis. Currently, I am looking at the support of semiclassical measures. My advisor is Semyon Dyatlov. Here is my CV.My email is [email protected]

Papers
Semiclassical Measures on Hyperbolic Manifolds, arXiv, youtube
with Nicholas Miller; (2025);Characterizing the support of semiclassical measures for higher-dimensional cat maps, arXiv
with an appendix by Theresa C. Anderson and Robert J. Lemke Oliver; (2024);Bounds on Eigenfunctions of Quantum Cat Maps, arxiv, journal
with Robert Koirala, Physica Scripta (2023);The strongly Leibniz property and the Gromov–Hausdorff propinquity, arXiv, journal
with Konrad Aguilar, Stephan Ramon Garcia, Frederic Latremoliere; Journal of Mathematical Analysis and Applications (2023);Spectral Analysis of the Kohn Laplacian on Lens Spaces, arXiv, journal
with Colin Fan, Ian Shors, Zoe Plzak, Samuel Sottile, and Yunus E. Zeytuncu; The Journal of Geometric Analysis (2023);A Tauberian Approach to an Analog of Weyl’s law for the Kohn Laplacian on Compact Heisenberg Manifolds, arXiv, journal
with Colin Fan and Yunus E. Zeytuncu, Complex Analysis and its Synergies (2022);Frobenius-Rieffel norms on finite-dimensional C∗-algebras, arXiv, journal
with Konrad Aguilar and Stephan Ramon Garcia, Operators and Matrices (2022);Constructions of Generalized MSTD Sets in Higher Dimensions, arXiv, journal
with Steven J. Miller, Journal of Number Theory (2021);Sobolev and Schatten estimates for the complex Green operator on spheres, arXiv, journal
with W. Jacob Ogden, Tommie Reerink and Yunus E. Zeytuncu, New York Journal of Mathematics (2020);
Last updated: March 20, 2025accessibility