Email: elenakim@mit.edu
I am a third-year graduate student at MIT, supported by an NSF graduate research fellowship. 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.
Papers
- Bounds on Eigenfunctions of Quantum Cat Maps, with Robert Koirala; Physica Scripta (2023); arXiv:2302.08608
- The strongly Leibniz property and the Gromov–Hausdorff propinquity, with Konrad Aguilar, Stephan Ramon Garcia, Frederic Latremoliere; Journal of Mathematical Analysis and Applications (2023); arXiv:2301.05692
- Spectral Analysis of the Kohn Laplacian on Lens Spaces, with Colin Fan, Ian Shors, Zoe Plzak, Samuel Sottile, and Yunus E. Zeytuncu; The Journal of Geometric Analysis (2023); arXiv:2206.14250
- A Tauberian Approach to an Analog of Weyl’s law for the Kohn Laplacian on Compact Heisenberg Manifolds , with Colin Fan and Yunus E. Zeytuncu,Complex Analysis and its Synergies (2022); arXiv:2107.07419
- Frobenius-Rieffel norms on finite-dimensional C∗-algebras, with Konrad Aguilar and Stephan Ramon Garcia, Operators and Matrices (2022); arXiv:2112.13164
- Constructions of Generalized MSTD Sets in Higher Dimensions, with Steven J. Miller, Journal of Number Theory (2021); arXiv:2009.02758
- Sobolev and Schatten estimates for the complex Green operator on spheres, with W. Jacob Ogden, Tommie Reerink and Yunus E. Zeytuncu, New York Journal of Mathematics (2020); arXiv:1910.09674
Other
Since the start of 2023, I have been volunteering at the Boston Pre-Release center, a local correctional facility. Once a week, I tutor incarcerated students in college bridge courses, mostly focusing on pre-algebra.