معرفی
Thomas Creutzig is an Associate Professor at the Department of Mathematical and Statistical Sciences, University of Alberta. His research focuses on mathematical physics, particularly conformal field theories (CFTs), vertex operator algebras, and their applications to string theory, quantum gravity, and representation theory. He has contributed to topics like 2D/4D correspondences, higher spin holography, and logarithmic CFTs. His work bridges theoretical physics and pure mathematics, with applications in algebraic geometry and modular forms.
Creutzig's research interests span a wide range of interconnected areas, including the structure of W-algebras, supergroup WZNW models, and the interplay between vertex algebras and geometric representation theory. He has explored dualities between CFTs and higher spin gravity theories in anti-de Sitter (AdS) spaces, such as the FZZ duality and 2d/4d correspondences. His studies often involve advanced techniques from algebraic topology, category theory, and quantum groups.
His publications highlight contributions to the representation theory of affine Lie algebras, logarithmic modules, and tensor categories. He has investigated the modular properties of conformal field theories, including false theta functions and modular data for fractional level WZW models. Recent work includes studies on vertex algebras associated with S-duality in gauge theories and the geometric interpretation of Higgs and Coulomb branches via vertex operator algebras.
Creutzig has supervised four PhD and master’s students, including research on logarithmic parafermion algebras and quantum modular forms. His collaborative projects span international conferences and workshops, focusing on themes like W-algebras, coset constructions, and the interplay between vertex algebras and geometric structures.
