Peter Bouwknegt

Peter Bouwknegt is an Emeritus Professor at The Australian National University, affiliated with the Department of MATH. His research focuses on mathematical physics, particularly the mathematical aspects of physical theories, including quantum field theories. His expertise lies in the structure of two-dimensional conformal field theory and its applications in condensed matter physics, integrable models of statistical mechanics, and string theory. He is also known for his work on the mathematical structures underlying string theory and D-branes, employing advanced mathematical techniques such as K-theory and gerbes. His research interests also encompass (infinite dimensional) Lie algebras, representation theory, quantum groups, differential geometry, homological algebra, algebraic geometry, and algebraic topology. Recently, he has become interested in the Geometric Langlands Program.

Peter Bouwknegt is a Professor of Theoretical Physics and Mathematics at the Australian National University, specializing in Mathematical Physics. His research focuses on advanced topics such as conformal field theory, Virasoro algebras, and T-duality. He has contributed significantly to the understanding of W symmetry, extended conformal algebras, and the interplay between quantum groups and string theory. His work also explores the mathematical structures underlying D-branes, B-fields, and twisted K-theory, with applications in string theory and nonassociative geometry. Bouwknegt's research bridges algebraic structures with physical theories, emphasizing the role of symmetry and topology in modern theoretical physics.