Publications

    2021

  1. A complete classification of unitary fusion categories tensor generated by an object of dimension 1.618....
    To appear in International Mathematics Research Notices (IMRN)

  2. Equivalences of Graded Categories
    J. Pure Appl. Algebra, 225 (2021), no. 9, 60 pp

  3. 2020

  4. Classifying fusion categories generated by an object of small Frobenius-Perron dimension
    Selecta Math. (N.S.) 26 (2020), no. 2, Paper No. 24, 47 pp.

  5. Simple current auto-equivalences of modular tensor categories
    Proc. Amer. Math. Soc. 148 (2020), no. 4, 1415-1428.

  6. 2019

  7. Fusion Rules for Z/2Z permutation gauging
    joint with Corey Jones and Julia Plavnik,
    J. Math. Phys. 60 (2019), no. 10, 102302, 15 pp.

  8. 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., 371 (2019), 5461--5486

  9. 2018

  10. The Brauer-Picard groups of fusion categories coming from the ADE subfactors
    Internat. J. Math. , 29 (2018), no. 5, 1850036

  11. 2015

  12. Uniqueness Theorems for Steinberg Algebras
    joint with Lisa Orloff Clark,
    Algebr. Represent. Theory , 18 (2015), 907--916

Preprints

  1. Auto-equivalences of the modular tensor categories of type A, B, C, and G

  2. Type II quantum subgroups of sl_N. I: Symmetries of local modules


Expository

  1. A Field Guide to Categories with A_N Fusion Rules
    joint with Scott Morrison