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Publications

    1. Hecke-Clifford algebras at roots of unity and conformal embeddings
      2. joint with Hans Wenzl

    2. Classification of 1-super-transitive quantum subgroups in type A
      3. joint with Jacques Katumba
      Accepted at Communications in Mathematical Physics

    3. Interpolation Categories for Conformal Embeddings
      4. joint with Noah Snyder
      Accepted at Proceedings of the London Mathematical Society

    4. Type II quantum subgroups of sl_N. II: Classification
      5. joint with Terry Gannon
      Accepted at Quantum Topology

    5. Cell Systems for Rep(Uq(sl_N)) Module Categories
      6. joint with Daniel Copeland
      Journal of the European Mathematical Society (2025)

    6. Classification of Z/2Z-quadratic unitary fusion categories
      7. joint with Masaki Izumi and Dave Penneys
      Quantum Topology (2025)

    7. The construction of a E7-like quantum subgroup of SU(3)
      8. joint with Lance Marinelli
      Communications in Algebra (2024)

    8. Type II quantum subgroups of sl_N. I: Symmetries of local modules
      9. with an appendix by Terry Gannon
      Communications of the American Mathematical Society (2023)

    9. Classification of pivotal tensor categories with fusion rules related to SO(4)
      10. joint with Daniel Copeland
      Journal of Algebra (2023)

    10. Auto-equivalences of the modular tensor categories of type A, B, C, and G
      11. with an appendix by Terry Gannon
      Advances in Mathematics (2022)

    11. A complete classification of unitary fusion categories tensor generated by an object of dimension 1.618....
      International Mathematics Research Notices (IMRN) (2022)

    12. Equivalences of Graded Categories
      Journal of Pure and Applied Algebra (2021)

    13. Classifying fusion categories generated by an object of small Frobenius-Perron dimension
      Selecta Mathematica (N.S.) (2020)

    14. Simple current auto-equivalences of modular tensor categories
      Proceedings of the Amererican Mathematical Society (2020)

    15. Fusion Rules for Z/2Z permutation gauging
      joint with Corey Jones and Julia Plavnik,
      Journal of Mathematical Physics (2019)

    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,
      Transactions of the Amererican Mathematical Society (2019)

    17. The Brauer-Picard groups of fusion categories coming from the ADE subfactors
      International Journal of Mathematics (2018)

    18. Uniqueness Theorems for Steinberg Algebras
      joint with Lisa Orloff Clark,
      Algebras and Represention Theory (2015)


    Expository