(For info on my REU Mentorship projects, please see my Teaching page.)
Research Papers
- Braidings for Non-Split Tambara-Yamagami Categories over the Reals - Joint with David Green and Yoyo Jiang
- Compact Semisimple Tensor 2-Categories are Morita Connected - joint with Thibault Décoppet
- Manifestly unitary higher Hilbert spaces - joint with Quan Chen, Giovanni Ferrer, Brett Hungar and David Penneys
- Invertible fusion categories - joint with Noah Snyder
- Levin-Wen is a gauge theory: entanglement from topology - joint with David Green, Kyle Kawagoe, Corey Jones, and David Penneys. Published here in Comm. Math. Phys..
- Fusion categories over non-algebraically closed fields (article version). View the publihed version in Journal of Algebra for free HERE until Nov 29, 2024. (Permanent link for Elsevier subscribers can be found here.
- Enriched string-net models and their excitations - joint with David Green, Peter Huston, Kyle Kawagoe, David Penneys, and Anup Poudel. Published here in the open access journal Quantum.
- Tambara-Yamagami categories over the reals: the non-split case - joint with Julia Plavnik and Dalton Sconce
PhD Thesis
Master's Thesis
Notes
These are documents I have written for my own reference. They are unedited and likely contain errors, so use with caution. I make no claim of proper attribution, but I welcome any and all suggestions.