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 (partially defined) 3-dimensional TQFTs.
Preprints
String nets for twisted pivotal categories, with Benjamin Haïoun and William Stewart (May 2026)
Theses
On surgery presentations of bordism bicategories
Doctoral thesis supervised by Christopher Douglas and Bruce Bartlett (2025).
On Kontsevich's characteristic classes
Undergraduate thesis supervised by Peter Kronheimer (2020).
In preperation
Relative presentations of symmetric monoidal bicategories, draft available here.
Skeletal presentations of symmetric monoidal bicategories
Surgery presentations of bordism (2,1)-categories, with Bruce Bartlett and Christopher Douglas
A finite presentation of the oriented three-dimensional bordism bicategory, with Bruce Bartlett and Christopher Douglas