## Jian Wang （王健）

I am a Postdoctoral Research Assistant at the Department of Mathematics, UNC-Chapel Hill. I obtained my Ph.D. at Berkeley under the supervision of Maciej Zworski. Here is my CV.

I am interested in Microlocal Analysis, Scattering Theory, Partial Differential Equations on Geometric Backgrounds, and Fluid Mechanics.

I am co-organizing the Reseach Playground at UNC.

Contact: wangjian at email dot unc dot edu

I am on the job market in the Fall of 2023.

## Papers and Preprints

Transport of nonlinear oscillations along rays that graze a convex obstacle to any order, with Mark Williams, 2023.

Damping for fractional wave equations and applications to water waves, with Thomas Alazard and Jeremy L. Marzuola, 2023.

Control estimates for 0th order pseudodifferential operators, with Hans Christianson and Ruoyu P. T. Wang, to appear in International Mathematics Research Notices.

The scattering phase: seen at last, with Jeffrey Galkowski, Pierre Marchand and Maciej Zworski, 2022.

Mathematics of internal waves in a 2D aquarium, with Semyon Dyatlov and Maciej Zworski, to appear in Analysis & PDE.

Dynamics of resonances for 0th order pseudodifferential operators, Communications in Mathematical Physics 391(2022), 643-668.

Microlocal radial estimates were introduced by Melrose as a generalization of outgoing estimates of scattering theory. In this note we prove an end point version of these estimates in Besov spaces. This work has been cited by the works of Guedes Bonthonneau—Lefeuvre and Guillarmou—de Poyferré (with an appendix by Guedes Bonthonneau).

The scattering matrix for 0th order pseudodifferential operators, Annales de l'Institut Fourier, published online.

Strichartz estimates for convex co-compact hyperbolic surfaces, Proc. Amer. Math. Soc. 147(2019), 873-883.

## Expository Notes

## Teaching

In Fall 2023, I am teaching "Discrete Mathematics".