Publications
- The construction of a E7-like quantum subgroup of SU(3)
joint with Lance Marinelli
- Cell Systems for Rep(Uq(sl_N)) Module Categories
joint with Daniel Copeland
- Classification of Z/2Z-quadratic unitary fusion categories
joint with Masaki Izumi and Dave Penneys
Accepted at Quantum Topology
- Type II quantum subgroups of sl_N. I: Symmetries of local modules
with an appendix by Terry Gannon
Communications of the American Mathematical Society
- Classification of pivotal tensor categories with fusion rules related to SO(4)
joint with Daniel Copeland
Journal of Algebra
- Auto-equivalences of the modular tensor categories of type A, B, C, and G
with an appendix by Terry Gannon
Advances in Mathematics
- 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
Journal of Pure and Applied Algebra
- Classifying fusion categories generated by an object of small Frobenius-Perron dimension
Selecta Mathematica (N.S.)
- Simple current auto-equivalences of modular tensor categories
Proceedings of the Amererican Mathematical Society
- Fusion Rules for Z/2Z permutation gauging
joint with Corey Jones and Julia Plavnik,
Journal of Mathematical Physics
- 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,
Transactions of the Amererican Mathematical Society
- The Brauer-Picard groups of fusion categories coming from the ADE subfactors
International Journal of Mathematics
- Uniqueness Theorems for Steinberg Algebras
joint with Lisa Orloff Clark,
Algebras and Represention Theory
Expository