About Me:
I am currently a Visiting Assistant Professor of Mathematics at the University of California, Irvine (UCI). My supervisor at UCI is Hamid Hezari. During the 2022-2023 academic year, I was a postdoctoral researcher at Université Sorbonne Paris Nord under the supervision of Francis Nier.
I received my Ph.D. in mathematics from UCLA in June 2022. My advisor was Michael Hitrik. A link to my thesis can be found here.
In the fall of 2019, I was a program associate at the Mathematical Sciences Research Institute (MSRI) in Berkeley, California for the Semester on Microlocal Analysis.
My CV.
Research Interests :
Semiclassical and Microlocal Analysis, Mathematical Physics, Several Complex Variables
Publications & Preprints:
Global subelliptic estimates for geometric Kramers-Fokker-Planck operators on closed manifolds, (with F. Nier and X. Sang), submitted. https://arxiv.org/abs/2402.07511
L^p-bounds for eigenfunctions of analytic non-self-adjoint operators with double characteristics, submitted. arXiv:2110.09664
L^p-bounds for semigroups generated by non-elliptic quadratic differential operators, To Appear in Journal of Spectral Theory. arXiv:2104.14613
Propagation of global analytic singularities for Schrödinger equations with quadratic Hamiltonians, Journal of Functional Analysis, 283 (2022). arXiv:2102.01474
Weyl symbols and boundedness of Toeplitz operators, (with L. Coburn, M. Hitrik, and J. Sjöstrand), Math. Res. Letters, 28 (2021), 681-696. arXiv:1907.06132