Haoren Xiong

About

I am an Assistant Professor in the School of Mathematics, at University of Birmingham.

From 2022 to 2025, I was a Hedrick Assistant Adjunct Professor in the Department of Mathematics, at UCLA, mentored by Michael Hitrik.

In 2022, I received my Ph.D. at UC Berkeley under the supervision of Maciej Zworski.

Here is my CV.

I am interested in Microlocal Analysis, and its applications in Partial Differential Equations and Spectral Theorey, for example, quantum resonances.

E-mail: h dot "last name" at bham dot ac dot uk

Boundary spectral estimates for semiclassical Gevrey operators, to appear in J. Spectr. Theory, arXiv: 2408.09098.
Asymptotic expansions for semilinear waves on asymptotically flat spacetimes, (with Shi-Zhuo Looi), submitted, arXiv: 2407.08997.
Semiclassical asymptotics for Bergman projections with Gevrey weights, (with Hang Xu), submitted, arXiv: 2403.14157.
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 (2022), 675-705.
Resonances as viscosity limits for exponentially decaying potentials, Journal of Mathematical Physics 62 (2021), 022101.
Complex Higgs Oscillators, arXiv: 2109.09303.
Resonances as viscosity limits for exterior dilation analytic potentials, arXiv: 2002.12490.

Spring 2024: Math 132H: Complex Analysis (Honors)
Fall 2023, Winter 2024, Spring 2024, Spring 2025: Math 132: Complex Analysis for Applications
Winter 2023: Math 31AL: Differential and Integral Calculus Laboratory
Fall 2022, Spring 2023, Fall 2024, Winter 2025: Math 31B: Integration and Infinite Series

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