Home Publications Talks Teaching

Publications

    1. Type II quantum subgroups of sl_N. II: Classification
      2. joint with Terry Gannon

    2. Cell Systems for Rep(Uq(sl_N)) Module Categories
      3. joint with Daniel Copeland

    3. The construction of a E7-like quantum subgroup of SU(3)
      4. joint with Lance Marinelli
      Accepted at Communications in Algebra

    4. Classification of Z/2Z-quadratic unitary fusion categories
      5. joint with Masaki Izumi and Dave Penneys
      Accepted at Quantum Topology

    5. Type II quantum subgroups of sl_N. I: Symmetries of local modules
      6. with an appendix by Terry Gannon
      Communications of the American Mathematical Society

    6. Classification of pivotal tensor categories with fusion rules related to SO(4)
      7. joint with Daniel Copeland
      Journal of Algebra

    7. Auto-equivalences of the modular tensor categories of type A, B, C, and G
      8. with an appendix by Terry Gannon
      Advances in Mathematics

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

    9. Equivalences of Graded Categories
      Journal of Pure and Applied Algebra

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

    11. Simple current auto-equivalences of modular tensor categories
      Proceedings of the Amererican Mathematical Society

    12. Fusion Rules for Z/2Z permutation gauging
      joint with Corey Jones and Julia Plavnik,
      Journal of Mathematical Physics

    13. 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

    14. The Brauer-Picard groups of fusion categories coming from the ADE subfactors
      International Journal of Mathematics

    15. Uniqueness Theorems for Steinberg Algebras
      joint with Lisa Orloff Clark,
      Algebras and Represention Theory


    Expository