I study partial differential equations, microlocal analysis, and scattering theory.

CV (updated Mar 22, 2020)

CV (updated Mar 22, 2020)

**Research papers**- Semiclassical resolvent bounds for weakly decaying potentials, with Jeffrey Galkowski, submitted, arXiv 2003.02525
- Existence and asymptotics of nonlinear Helmholtz eigenfunctions, with Jesse Gell-Redman, Andrew Hassell, and Junyong Zhang, submitted. arXiv 1908.04890
- Semiclassical estimates for scattering on the real line, with Kiril Datchev, to appear in Communications of Mathematical Physics. arXiv 1903.02743
- Semiclassical resolvent bound for compactly supported $L^\infty$ potentials
*,*to appear in Journal of Spectral Theory, arXiv 1802.09008 - Semiclassical resolvent bounds in dimension two, Proceedings of the American Mathematical Society,

(5) 147 (2019), 1999-2008, arXiv 1604.038452 - Local energy decay for Lipschitz wavespeeds, Communications in Partial Differential Equations (5) 43 (2018), 839-858

**Phd dissertation**- Semiclassical resolvent estimates and wave decay in low regularity, written under the supervision of Kiril Datchev,

May 2018

**Recent talks***Semiclassical resolvent estimates for short range Hölder continuous potentials*

1.**Jan****27, 202o**Spectral and Scattering Theory Seminar, Purdue University

2.**Nov 5****, 2019**Harmonic Analysis and Differential Equations Seminar, UC Berkeley*Semiclassical estimates for scattering on the real line*

1.**Sept****25, 2019**Microlocal Analysis Seminar, MSRI

**Other activity**- I am an ANU University House Early Career Academic Fellow
- In semester 1 2020, I am organizing the ANU Partial Differential Equations and Analysis Seminar
**Aug-Dec 2019**I was a postdoctoral fellow in the MSRI microlocal analysis program**May-Aug 2017**I was an intern at the Air Force Research Lab in Dayton, OH**Jun-Jul 2016**I attended the Math-to-Industry Boot Camp at the IMA, University of Minnesota