I'm a Postdoctoral Research Assistant in the School of Maths at the University of Edinburgh, in Scotland. I am funded in part through the Simons Collaboration on Global Categorical Symmetries.
My research is mainly focused on using skein theory to understand (quantised) constructions in algebraic geometry and (again, quantum) non-semisimple topological invariants. These fall into a branch of math often called quantum topology. I also enjoy coding, you can find some of my old and ongoing projects on my github profile.
In June 2022 I was awarded a PhD in Mathematics at UC Davis, working with Motohico Mulase and Tudor Dimofte. My bachelors degree is in both math and physics and from Georgetown University, in Washington, DC. Marcos Rigol was my senior thesis adviser. Between degrees I worked for a couple years as a systems and infrastructure engineer at a tech company. (The company has since been acquired by Oracle.)
During graduate school I was a wilderness guide for the Outdoor Adventure program at Davis.
Papers
- Skein Categories in Non-semisimple Settings
- Joint with Banjamin Haïoun
- Quantum invariants arising from Uhsl(2|1) are q-holonomic
- Joint with Nathan Geer.
- The ADO Invariants are a q-Holonomic Family
- Joint with Tudor Dimofte, Stavros Garoufalidis, and Nathan Geer.
- Driven dipole oscillations and the lowest-energy excitations of strongly interacting lattice bosons in a harmonic trap
- Joint with K. He, S. Haas, and M. Rigol