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 Topology 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, Contemporary Mathematics, 747, Amer. Math. Soc., Providence, RI, (2020).
https://doi.org/10.1090/conm/747/15036 - 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 - Quadratic
-numbers. (2019).
arXiv preprint arXiv:1904.09418 - Algebraic number fields generated by Frobenius-Perron dimensions in fusion rings. To appear in Communications in Number Theory and Physics (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. Journal of Pure and Applied Algebra 226(5) (2022)
https://doi.org/10.1016/j.jpaa.2021.106927 - 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 - Modular tensor categories, subcategories, and Galois orbits. Transformation Groups. (with Julia Plavnik, Zhiqiang Yu, and Qing Zhang) (2023)
https://doi.org/10.1007/s00031-022-09787-9 - Categorification of integral group rings extended by one dimension. Journal of the London Mathematical Society (2023)
https://doi.org/10.1112/jlms.12789 - Irrational braided generalized near-groups. Canadian Mathematical Bulletin (2023)
https://doi.org/10.4153/S0008439523000334 - Fixed-point-free fusion automorphisms (2023).
arXiv preprint arXiv:2306.01666 - On Frobenius-Schur exponent bounds (with Agustina Czenky and Julia Plavnik) (2024).
arXiv preprint arXiv:2404.06643
Bits and bobs
- Video of a 60-minute lecture I gave for the BIMSA-Tsinghua Quantum Symmetries seminar
Subject: Fixed-point-free fusion automorphisms
13 June., 2023 https://youtu.be/2bZHRzTYKoM - Video of a 30-min. lecture I gave at the Banff International Research Station
Subject: Numerical invariants of fusion
1 Apr., 2023 https://www.birs.ca/events/2023/2-day-workshops/23w2006/videos/watch/202304011640-Schopieray.html - Slides from the talk Irrational near-groups presented at Quantum Symmetries at the CRM in Montréal in October 2022
- Video of a 70-minute lecture I gave for the BIMSA-Tsinghua Quantum Symmetries seminar
Subject: Categorification of integral group rings extended by one dimension
24 Aug., 2022 https://youtu.be/iBVCYiLvTh8 - Video of a 1-hour lecture I gave for the Pacific Institute for the Mathematical Sciences Emergent Research Seminar
Subject: A general-audience talk about my research
24 Feb., 2021 https://mathtube.org/lecture/video/fusion-rings-and-their-categorifications - Video of a 43-min. lecture I gave at the Banff International Research Station
Subject: Algebraic number fields of Frobenius-Perron dimensions
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
Andrew Schopieray 