Professor of Mathematics

Fellow of the American Mathematical Society

Editor-in-Chief of the
New York Journal of Mathematics

Department of Mathematics and Statistics

State University of New York at Albany

Albany, NY 12222, USA

Telephone: 1-518-442-4631

Email: [email protected]

- Operators on holomorphic function spaces: Toeplitz operators, Hankel operators, and composition operators on various spaces of holomorphic functions in various complex domains, including Bergman and Hardy spaces of the unit ball and the unit polydisk.
- Complex analysis: characterizations and duality problems for various spaces of holomorphic functions, including Bergman spaces, Besov spaces, the Bloch space, Lipschitz spaces, and BMOA; function theory of Bergman spaces in the unit disk and Fock spaces on the complex plane.
- Operator theory and operator algebras: operators in Cowen-Douglas classes, operator theory related to the Bergman shift, invariant and reducing subspaces, and C*-algebras of operators.

- Undergraduate courses taught: calculus, linear algebra, ordinary differential equations, partial differential equations, general topology, algebraic topology, differential geometry, probability, and statistics.
- Graduate courses taught: real analysis, complex analysis, functional analysis, operator theory, operator algebras.