My research interests are in the area of Analytic and Elementary Number Theory. I am interested in characterization of automorphic integrals associated with Hecke groups.

Currently, I am working on the determination of those automorphic integrals with prescribed poles of any order and any number of poles. I also am working on problems related to generalized Euler numbers and polynomials. Related to these polynomials are the Hypergeometric Bernoulli polynomials, which generalize the classical Bernoulli numbers via their generating function. These new polynomials have many similar properties as the classical ones as well as some properties unique to them. For example, their complex zeros seem to converge to a curve in the complex plane but the exact curves are not known.

I also work with graduate and undergraduate students on research projects from Euler’s papers as well as partition functions.