David Barrett

David Barrett is a Professor and Associate Chair for Education-Personnel & Curriculum at the Department of Mathematics, University of Michigan. His research focuses on complex analysis, projective duality, and function theory on complex domains.

Education:

• Ph.D., University of Chicago (1982)

Barrett's work explores the interplay between holomorphic function theory and geometric properties of complex hypersurfaces, particularly through the Leray transform and Bergman projection. He investigates projective duality and Levi-flat hypersurfaces, often collaborating with researchers like Luke Edholm and Dusty Grundmeier.

His 15 most recent publications highlight advancements in complex geometry, harmonic analysis, and integral operator theory, with notable contributions to Bergman kernel behavior, holomorphic extension, and duality on complex domains. The work spans topics such as Fourier modes, conformal metrics, and topological properties of Levi-flat surfaces.