About
I am a Hedrick Assistant Adjunct Professor in the Department of Mathematics, at UCLA. I received my Ph.D. at Berkeley under the supervision of Maciej Zworski. Here is my CV.
I am interested in Scattering Theory, Microlocal Analysis, and Partial Differential Equations.
E-mail: haorenxiong at math dot ucla dot edu
Papers and Preprints
Boundedness of metaplectic Toeplitz operators and Weyl symbols, J. Funct. Anal. 286 (2024), 110294. (arXiv: 2305.03948).
Generic simplicity of resonances in obstacle scattering, Trans. Amer. Math. Soc. 376 (2023), 4301-4319.
Resonances as viscosity limits for black box perturbations, Annales Henri Poincaré 23 (2021), 675-705.
Resonances as viscosity limits for exponentially decaying potentials, Journal of Mathematical Physics 62 (2021), 022101.
Semiclassical asymptotics for Bergman projections with Gevrey weights, arXiv: 2403.14157.
Complex Higgs Oscillators, arXiv: 2109.09303.
Resonances as viscosity limits for exterior dilation analytic potentials, arXiv: 2002.12490.
Talks
Harmonic Analysis and Differential Equations Student Seminar, UC Berkeley: The method of complex scaling [Aug 2019]
Harmonic Analysis and Differential Equations Student Seminar, UC Berkeley: Complex absorbing potential method for calculating scattering resonances (exponentially decaying potentials) [Feb 2022]
QMATH 15, Spectral Theory session, UC Davis: Complex absorbing potential method for calculating scattering resonances (black box scattering) [Sep 2022]