Papers (old to new)
- “Classification of
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 - “Level bounds for exceptional quantum subgroups in rank two.” International Journal of Mathematics 29.05 (2018): 1850034.
https://doi.org/10.1142/S0129167X18500349 - 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 - “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 - “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 - “Quadratic
-numbers.” (2019).
arXiv preprint arXiv:1904.09418 - “Algebraic number fields generated by Frobenius-Perron dimensions in fusion rings.” (with Terry Gannon) (2019).
arXiv preprint arXiv:1912.12260 - “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 - “Non-pseudounitary fusion.” (2020)
arXiv preprint arXiv:2010.02958
Bits and bobs
- Video of a 43-min. lecture I gave at the Banff International Research Station 17 Oct., 2018
http://www.birs.ca/events/2018/5-day-workshops/18w5195/videos/watch/201810170832-Schopieray.html - My pre-prints on the ArXiv
https://arxiv.org/search/math?searchtype=author&query=Schopieray%2C+A