Publications
Preprints
- Classification of pivotal tensor categories with fusion rules related to SO(4)
joint with Daniel Copeland
- Classification of Z/2Z-quadratic unitary fusion categories
joint with Masaki Izumi and Dave Penney
- Type II quantum subgroups of sl_N. I: Symmetries of local modules
Accepted
- Auto-equivalences of the modular tensor categories of type A, B, C, and G
Accepted at Advances of Mathematics
2021
- A complete classification of unitary fusion categories tensor generated by an object of dimension 1.618....
International Mathematics Research Notices (IMRN)
- Equivalences of Graded Categories
J. Pure Appl. Algebra
2020
- Classifying fusion categories generated by an object of small Frobenius-Perron dimension
Selecta Math. (N.S.)
- Simple current auto-equivalences of modular tensor categories
Proc. Amer. Math. Soc.
2019
- Fusion Rules for Z/2Z permutation gauging
joint with Corey Jones and Julia Plavnik,
J. Math. Phys.
- Ideals of Steinberg Algebras of Strongly Effective Groupoids, with Applications to Leavitt Path Algebras
joint with Lisa Orloff Clark, Astrid an Huef, and Aidan Sims,
Trans. Amer. Math. Soc.
2018
- The Brauer-Picard groups of fusion categories coming from the ADE subfactors
Internat. J. Math.
2015
- Uniqueness Theorems for Steinberg Algebras
joint with Lisa Orloff Clark,
Algebr. Represent. Theory
Expository