I'm a National Science Foundation postdoctoral fellow in mathematics at UCLA, sponsored by Terence Tao. I received a B.S. in mathematics in 2011 from Caltech and a Ph.D. in mathematics in 2016 from the University of Wisconsin - Madison under the supervision of Andreas Seeger. The title of my thesis was "Multiplier Theorems, Square Function Estimates, and Bochner Riesz Means Associated With Rough Domains." I spent the 2016-2017 academic year as a Visiting Assistant Professor at the University of British Columbia. Here's my CV. Together with Polona Durcik, I organized the Caltech-UCLA joint analysis seminar.
- Classical harmonic analysis. This is a rather broad interest of mine, but I'm particularly interested in questions related to the local smoothing, Bochner-Riesz, and Fourier restriction problems, characterization theorems for radial and quasiradial multipliers, endpoint estimates for Calderon-Zygmund operators, discrete harmonic analysis, and sparse domination.
- Additive combinatorics, in particular questions related to sum-product phenomena and Falconer's distance problem.
- Recently, I've become interested in dispersive PDE and random matrix theory.