I'm interested in loop groups, moduli spaces, and representation theory. I'm particularly interested in
the wonderful compactification of an adjoint group. In my thesis I constructed a loop group version of the
wonderful compactification and used it to study degenerations of Bun_G to nodal curves.
I'm currently working on applying my work to Gauged Gromov-Witten theory.
- A Wonderful Embedding of the Loop Group
- A complete degeneration of the moduli of G-bundles on a curve
As an undergraduate I worked on a project in knot theory. I wrote the following papers
- On the Harary-Kauffman conjecture and Turk's head knots.
(Joint with Dowdall, Mattman, Meek )
- A proof of the Kauffman-Harary conjecture
(joint with Mattman)