In a nutshell
My research is in Number Theory and Analysis. I study arithmetic objects, specifically problems regarding L-functions, automorphic forms and periods, using tools from spectral analysis, representation theory, and analytic number theory.
Problems I am currently pursuing include extremal behavior of automorphic forms and periods in the high-energy limit and its relation to the underlying geometric, functorial, and dynamical structures, and a number of questions regarding families of automorphic L-functions, including explicit spectral expansions for moments and specific instances of non-vanishing and subconvexity.
In Winter 2010, I am teaching Math 217: Linear Algebra and Math 289: Problem Solving. Office hours are held Mondays 5-6PM, Wednesdays and Fridays 12-1PM. When proof problem sets are due in Math 217, individual consultations are held on Tuesday afternoons. Additional meetings are available by appointment.
I will be at Amherst College starting Fall 2010. During the summers of 2010 and 2011, I will be visiting Centre de recherches mathématiques in Montréal. During the 2011/12 academic year, I will be at the Max-Planck-Institut für Mathematik in Bonn.