Publications

      Preprints

    1. Classification of pivotal tensor categories with fusion rules related to SO(4)
    2. joint with Daniel Copeland

    3. Classification of Z/2Z-quadratic unitary fusion categories
    4. joint with Masaki Izumi and Dave Penney

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

    6. Accepted

    7. Auto-equivalences of the modular tensor categories of type A, B, C, and G
      Accepted at Advances of Mathematics

    8. 2021

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

    10. Equivalences of Graded Categories
      J. Pure Appl. Algebra

    11. 2020

    12. Classifying fusion categories generated by an object of small Frobenius-Perron dimension
      Selecta Math. (N.S.)

    13. Simple current auto-equivalences of modular tensor categories
      Proc. Amer. Math. Soc.

    14. 2019

    15. Fusion Rules for Z/2Z permutation gauging
      joint with Corey Jones and Julia Plavnik,
      J. Math. Phys.

    16. 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.

    17. 2018

    18. The Brauer-Picard groups of fusion categories coming from the ADE subfactors
      Internat. J. Math.

    19. 2015

    20. Uniqueness Theorems for Steinberg Algebras
      joint with Lisa Orloff Clark,
      Algebr. Represent. Theory


    Expository