Research Interests
My research interests are in the theory of modular forms and related functions. In particular, I'm interested in the arithmetic and combinatorial information encoded by the Fourier coefficients of this class of functions. I'm currently working on developing the theory of the recently discovered Shimura Correspondence for the eta multiplier, especially relations between central values of L-functions and Fourier coefficients of modular forms. I also spend a great deal of time thinking about prime-power congruences for the coefficients of modular forms and the analytic theory of L-functions.