Most of my specific interests include:

• analytic methods for asymptotic enumeration

• statistical profiles of random permutations

• random polynomials and matrices over finite fields

• the anatomy of integers

• involution factorizations in Coxeter groups

• geodesic convexity in graphs

• orthogonal polynomials and special functions

• the Bernstein-Szegö measure moment problem

• applications of discrete mathematics to biology and epidemiology

• enumerative and probabilistic combinatorics related to all of the above