I am currently working on the representation theory of meromorphic braided tensor categories of line operators in the holomorphic-topological twist of 4d N=2 theories and connections to cohomological Hall algebras [1].

Previously, I worked on non-perturbative aspects of 2d N=(2,2) theories, leveraging their quantum spectral geometry together with an exact WKB analysis to determine non-perturbative partition functions and their full wall-crossing structure [2].

More broadly, I am interested in topological, holomorphic and supersymmetric quantum theories in various dimensions, their non-perturbative aspects, algebras of local operators, categories of extended operators and boundary conditions, algebraic and geometric structures of BPS states, meromorphic quantum groups, (geometric) representation theory, mirror symmetry and the BV formalism.