My main area of research is the theory of functions of complex variables. Together with my Texas A&M colleague Emil J. Straube, I received the 1995 Stefan Bergman Prize from the American Mathematical Society for contributions to the boundary regularity theory of the inhomogeneous Cauchy–Riemann equations on pseudoconvex domains in multidimensional complex space.
I am interested too in the effective communication of mathematics. I have served as Editor of the book-review column in the American Mathematical Monthly (1998–1999) and as Editor of the Notices of the American Mathematical Society (2001–2003). My article "Reflections on the Arbelos" received the 2009 Chauvenet Prize, the most prestigious award for mathematical exposition given by the Mathematical Association of America.