Brian J. Cole Professor of Mathematics

Brown Affiliations

Research Areas

scholarly work


research overview

Functional analysis and complex analysis

research statement

My research is concerned with uniform approximation with holomorphic functions of one and several complex variables. This involves Hilbert space operators, Banach spaces, and Banach algebras. Recent work has focused on interpolation problems, in particular on polydisks. In many cases, an interpolation body is shown to be a semi-algebraic set.

funded research