Over the past decade, higher categories have proven to be an essential ingredient in studying quantum field theories from a mathematical perspective. Casting QFT in the language of higher category theory naturally and elegantly incorporates many subtle concepts, including generalised symmetries, topological defects, and locality.
My research interests include the Segal–Stolz–Teichner conjecture, the chiral free fermion, higher von Neumann algebras, higher Hilbert spaces, and more generally the higher categorical constructions that capture the structure of the theory of operator algebras.