Research InterestsMy research interests include analytic and probalistic number theory, additive combinatorics, spectral (hyper)graph theory, and discrete geometry. Broadly speaking, I am most attracted to problems in number theory, combinatorics and theoretical computer science that require tools from other areas such as analysis and probability to solve. I am particularly interested in Fourier analytic tools. My papers and expository writing give a fairly good idea of what kind of mathematics interests me. The problems I am currently working on relate to:
