معرفی
Katrina D. Barron is an Associate Professor in the Department of Mathematics at the University of Notre Dame's College of Science, specializing in algebraic structures underlying superconformal field theories. Her research bridges vertex operator algebras and worldsheet geometry in string theory.
Holding a Ph.D. from Rutgers University (1996) and an Honors A.B. in Physics from the University of Chicago (1987), her work investigates algebras governing particle interactions in conformal field theory, particularly connections between worldsheet geometry and correlation function algebras. She co-directs the QuaSy-Con conference series on quantum symmetries and serves on editorial boards for multiple mathematics journals.
Research focuses on vertex operator superalgebras, permutation-twisted modules, and geometric foundations of N=2 super-Riemann surfaces. Recent publications explore Zhu algebras, graded traces, and applications to quantum symmetries. Her articles consistently address mathematical formalizations of physical theories, with recent emphasis on computational and algebraic methods.
Organizes major conferences including Women in Mathematical Physics (2026) and QuaSy-Con II (2024). Secured funding from Simons Foundation and NSF-supported institutes like Banff International Research Station. Teaches graduate courses in algebraic structures and mathematical physics.
Leads research on connections between vertex algebras and number theory/topology, advising doctoral students in algebra and mathematical physics. Collaborates internationally through invited lectures at institutions including RIMS Kyoto and SJTU Shanghai.
