Research

Papers (old to new)

  1. Classification of \mathfrak{sl}_3 relations in the Witt group of nondegenerate braided fusion categories. Communications in Mathematical Physics 353.3 (2017): 1103-1127.
    https://doi.org/10.1007/s00220-017-2831-z
  2. Level bounds for exceptional quantum subgroups in rank two. International Journal of Mathematics 29.05 (2018): 1850034.
    https://doi.org/10.1142/S0129167X18500349
  3. Prime decomposition of modular tensor categories of local modules of type D. Quantum Topology 11 (2020), no. 3, 489-524.
    https://www.doi.org/10.4171/QT/140
  4. Lie theory for fusion categories: A research primer. Topological Phases of Matter and Quantum Computation, Contemporary Mathematics, 747, Amer. Math. Soc., Providence, RI, (2020).
    https://doi.org/10.1090/conm/747/15036
  5. Higher Gauss sums of modular categories. Selecta Mathematica New Series 25.53 (2019). (with Ng, Siu-Hung and Yilong Wang)
    https://doi.org/10.1007/s00029-019-0499-2
  6. Quadratic d-numbers. (2019).
    arXiv preprint arXiv:1904.09418
  7. Algebraic number fields generated by Frobenius-Perron dimensions in fusion rings. (with Terry Gannon) (2019).
    arXiv preprint arXiv:1912.12260
  8. Norm, trace, and formal codegrees of fusion categories. Journal of Algebra 568 (2021), 362-385.
    https://doi.org/10.1016/j.jalgebra.2020.10.014
  9. Non-pseudounitary fusion. Journal of Pure and Applied Algebra 226(5) (2022)
    https://doi.org/10.1016/j.jpaa.2021.106927
  10. Nondegenerate extensions of near-group braided fusion categories. Revista de la Unión Matemática Argentina Special Volume: MCA 2021 (2021)
    https://doi.org/10.33044/revuma.2866
  11. Modular tensor categories, subcategories, and Galois orbits. (with Julia Plavnik, Zhiqiang Yu, and Qing Zhang) (2021).
    arXiv preprint arXiv:2111.05228
  12. Categorification of integral group rings extended by one dimension. (2022)
    arXiv preprint arXiv:2208.07319

Bits and bobs