Jon Brundan

Jon Brundan is a Professor in the Mathematics Department at the University of Oregon, part of the College of Arts and Sciences. His research spans representation theory, categorification, and quantum algebra, with significant contributions to the understanding of Heisenberg categories, Kac-Moody 2-categories, and quantum groups.

Brundan's research interests primarily focus on representation theory and categorification. His work bridges abstract algebra with mathematical physics, particularly through the study of quantum groups, Heisenberg categories, and Kac-Moody 2-categories. He has made significant contributions to understanding the connections between diagrammatic categories, representation theory of algebraic structures, and geometric representation theory. His research often involves developing new categorical frameworks to understand deep algebraic structures and their representations.

Analysis of Brundan's recent publications reveals a strong focus on categorification techniques applied to quantum groups and related algebraic structures. His work often centers on developing diagrammatic approaches to representation theory, with particular attention to Heisenberg categories, nil-Brauer categories, and their connections to quantum symmetric pairs. There's a clear progression in his research toward increasingly sophisticated categorical frameworks that provide new insights into classical representation-theoretic problems.

Brundan has collaborated extensively with leading researchers in representation theory, including A. Savage, B. Webster, C. Stroppel, and A. Kleshchev. His work has appeared in top mathematics journals including the Pacific Journal of Mathematics, Advances in Mathematics, and Selecta Mathematica. His research has helped establish important connections between different areas of representation theory and has provided new categorical perspectives on classical algebraic structures.