My research lies at the interface of geometric topology and higher category theory, with a focus on low-dimensional topological quantum field theory (TQFT). I am particularly interested in explicit generators-and-relations presentations of bordism bicategories and their applications to the construction and classification of 3-dimensional TQFTs. I am also increasingly interested in 4-dimensional TQFTs and automorphisms of 4-manifolds.
Writing
My Ph.D. work focused on obtaining presentations of bordism bicategories via surgery. You can find it here.