معرفی
Brian Williams is an Assistant Professor at Boston University, specializing in the intersection of geometry, algebra, and quantum field theory. He is a core member of the Geometry and Physics research group. His research focuses on holomorphic quantum field theories, factorization algebras, and their connections to vertex algebras, supersymmetry, and geometric representation theory. He teaches advanced courses such as spin geometry and regularly organizes conferences like the New England Algebraic Topology and Mathematical Physics Seminar.
- Affiliations: Boston University (current), University of Edinburgh, Northeastern University, Northwestern University
Research interests include applying homotopical algebra to quantum field theory structures, studying superconformal algebras, and exploring twisted holography. His work bridges mathematical physics with algebraic topology, particularly through the lens of factorization algebras and BV formalism.
Recent articles analyze topics like holomorphic twists of supersymmetric theories, local symmetries in supergravity, and quantization of mixed topological-holomorphic systems. His contributions emphasize geometric interpretations of QFT anomalies and symmetries.
