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 Topol. 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, Contemp. Math., 747, Amer. Math. Soc., Providence, RI, (2020).
    https://doi.org/10.1090/conm/747/15036
  5. “Higher Gauss sums of modular categories.” (with Ng, Siu-Hung and Yilong Wang) Selecta Mathematica New Series 25.53 (2019).
    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.” (2020)
    arXiv preprint arXiv:2010.02958

Bits and bobs