I am a fourth year graduate student studying analytic number theory under Roman Holowinsky. I study sup-norm estimates of Maass cusp forms on arithmetic locally symmetric spaces, and am currently focusing on $SU(2,1)$.
During Fall 2015, Evan Nash and I cofounded the Math Grad Student Assocation of which I currently serve as President. Through the MGSA, I am an organizer for the Mathematical Research Lectures presented by MGSA (aka the grad seminar). I am also on the planning committee for the Invitations to Industry seminar which began Spring 2017.
Hybrid level aspect subconvexity for $GL(2)\times GL(1)$
(with K. Aggarwal and Y. Jo , May 2016, 11 pages) [arXiv] [abstract]
Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P\sim M^\eta$ with $0 < \eta < 2/5$. We prove subconvexity bounds for $L(1/2,f\otimes\chi)$ when $f$ is a primitive holomorphic cusp form of level $P$ and $\chi$ is a primitive dirichlet character modulo $M$. These bounds are attained through an unamplified second moment method using a modified version of the delta method due to R. Munshi. The technique is similar to that used by Duke-Friedlander-Iwaniec save for the modification of the delta method.