I study partial differential equations, microlocal analysis, and scattering theory. I am supported by NSF DMS 2204322.
CV (January 2024)
Research papers
CV (January 2024)
Research papers
- Semiclassical estimates for measures potentials on the real line, with Andrés Larraín-Hubach, to appear in Journal of Spectral Theory. arXiv 2303.17722
- Semiclassical resolvent bounds for short range $L^\infty$ potentials with singularities at the origin. Asymptotic Analysis 136(3-4) (2024), 157-180
- Exponential time-decay for a one dimensional wave equation with coefficients of bounded variation, with Kiril Datchev. Mathematische Nachrichten 296(11) (2023), 4978-4994
- Regularity of the scattering matrix for nonlinear Helmholtz eigenfunctions, with Jesse Gell-Redman and Andrew Hassell. Journal of Spectral Theory 13(2) (2023), 395-425
- Semiclassical resolvent bounds for compactly supported radial potentials, with Kiril Datchev and Jeffrey Galkowski. Journal of Functional Analysis 284(7), paper no. 109835 (2023), 28 pp.
- Semiclassical resolvent bounds for long range Lipschitz potentials, with Jeffrey Galkowski. International Mathematics Research Notices 2022(10) (2022), 14134-14150
- Semiclassical resolvent bounds for weakly decaying potentials, with Jeffrey Galkowski. Mathematical Research Letters 29(2) (2022), 373-398
- On the interaction of metric trapping and a boundary, with Kiril Datchev, Jason Metcalfe, and Mihai Tohaneanu. Proceedings of the American Mathematical Society. 149(9) (2021), 3801-3812
- Existence and asymptotics of nonlinear Helmholtz eigenfunctions, with Jesse Gell-Redman, Andrew Hassell, and Junyong Zhang. SIAM Journal on Mathematical Analysis 52(6) (2020), 6120-6221
- Semiclassical resolvent bound for compactly supported $L^\infty$ potentials. Journal of Spectral Theory 10(2) (2020), 651-672
- Semiclassical estimates for scattering on the real line, with Kiril Datchev. Communications in Mathematical Physics 376 (3) (2020), 740-747
- Semiclassical resolvent bounds in dimension two, Proceedings of the American Mathematical Society,
147(5) (2019), 1999-2008 - Local energy decay for Lipschitz wavespeeds, Communications in Partial Differential Equations 43(5) (2018), 839-858