I am broadly interested in algebraic and geometric topology, higher category theory, and the singularity theory of smooth mappings. Specifically, I enjoy thinking about bordism categories, (higher) Morse–Cerf theory, and topological quantum field theory.
Writing
My Ph.D. work has focused on obtaining presentations of bordism bicategories through surgery, largely motivated by the classification of extended three-dimensional TQFTs. If you would like to learn more about it, you can access the current working draft of my thesis here.