Talk at the Workshop on Quantum Computation at the 2017 Heidelberg Laureate Forum
With Almudena Di Salvo at the MFO workshop on Subfactors and applications, October 2019.
Relation between bicrossed products and crossed extensions of fusion categories, with M. Müller and H.M. Peña Pollastri.
Preprint: arXiv:2507.08562 (2025)
Egyptian fractions for few primes, with A. Czenky, E. McGovern, E. Rowell, and A. Watkins.
Preprint: arXiv:2507.03727 (2025)
Generalised Orbifolds and G-equivariantisation, with S. Heinrich, I. Runkel, and A. Watkins.
Preprint: arXiv:2506.08154 (2025)
On the finite generation of the cohomology of bosonizations, with N. Andruskiewitsch, D. Jaklitsch, V.C. Nguyen, A. Oswald, A. Shepler, and X. Wang.
Preprint: arXiv: 2506.05267 (2025)
The Classification of Fusion 2-Categories, with T. Décoppet, P. Huston, T. Johnson-Freyd, D. Nikshych, D. Penneys, D. Reutter, and M. Yu.
Preprint: arXiv:2411.05907 (2024)
On bicrossed product of fusion categories and exact factorizations, with M. Müller and H.M. Peña Pollastri.
Preprint: arXiv:2404.06643 (2024)
On Frobenius-Schur exponent bounds, with A. Czenky and A. Schopieray.
Preprint: arXiv:2404.06643 (2024).
Contragredient Lie algebras in symmetric categories, with I. Angiono and G. Sanmarco.
Preprint: arXiv:2401.02915 (2024).
Tambara-Yamagami Categories over the Reals: The Non-Split Case, with S. Sanford, and D. Sconce.
Preprint: arXiv:2303.17843 (2023).
Completion for braided enriched monoidal categories, with S. Morrison and D. Penneys.
Preprint: arXiv:1809.09782 (2018).
The Condensed Fiber Product and Zesting, with C. Delaney, C. Galindo, E. Rowell, and Q. Zhang. To appear in Advances in Theoretical and Mathematical Physics.
Preprint: arXiv:2410.09025 (2024)
Zesting produces modular isotopes and explains their topological invariants, with C. Delaney and S. Kim. To appear in Quantum Topology.
Preprint: arXiv:2107.11374 (2021).
On modular categories with Frobenius-Perron dimension congruent to 2 modulo 4, with A. Chakravarthy and A. Czenky. To appear in the Proceedings of the American Mathematical Society.
Preprint: arXiv:2308.12546 (2023).
Support varieties for finite tensor categories: the tensor product property, with P. Bergh and S. Witherspoon. Annals of Representation Theory, Volume 1 (2024) no. 4, pp. 539-566.
DOI: 10.5802/art.18
Integral non-group-theoretical modular categories of dimension p^2q^2, with C. Galindo and E. C. Rowell. Bull. Belg. Math. Soc. Simon Stevin 31 (4) 516 - 525, November 2024.
https://doi.org/10.36045/j.bbms.240415
Support varieties without the tensor product property, with P. Bergh and S. Witherspoon. Bull. London Math. Soc., 56: 2150-2161 (2024).
https://doi.org/10.1112/blms.13048
Semisimplification of contragredient Lie algebras, with I. Angiono and G. Sanmarco. Orbita Mathematicae Vol. 2 (2025), No. 1, 1-32.
https://doi.org/10.2140/om.2024.1.211
Classification of low-rank odd-dimensional modular categories, with A. Czenky and W. Gvozjak. Journal of Algebra (655), 223-293, Special Issue dedicated to the memory of Georgia Benkart (2024).
https://doi.org/10.1016/j.jalgebra.2023.10.021.
G-crossed braided zesting, with C. Delaney, C. Galindo, E. Rowell, and Q. Zhang.
Journal of the London Mathematical Society 109 (1), e12816 (2024). https://doi.org/10.1112/jlms.12816
Modular tensor categories, subcategories, and Galois orbits, with A. Schopieray, Z. Yu, and Q. Zhang.
Transformation Groups (2023).
DOI 10.1007/s00031-022-09787-9
On odd-dimensional modular tensor categories, with A. Czenky.
Algebra & Number Theory 16-8 (2022), 1919--1939.
Algebraic structures in group-theoretical fusion categories, with Y. Morales, M. Müller, A. Ros Camacho, A. Tabiri, and C. Walton.
Algebras and Representation Theory (2022)
DOI: https://doi.org/10.1007/s10468-022-10186-7
Cohomology of finite tensor categories: duality and Drinfeld centers, with C. Negron.
Trans. Amer. Math. Soc. 375 (2022), 2069-2112.
DOI: https://doi.org/10.1090/tran/8548.
Extension theory for braided-enriched fusion categories, with C. Jones, S. Morrison, and D. Penneys.
International Mathematics Research Notices (2021); rnab 133.
Support varieties for finite tensor categories: Complexity, realization, and connectedness, with P. Bergh and S. Witherspoon.
Journal of Pure and Applied Algebra 225, Issue 9 (2021), 106705.
Braided zesting and its applications, with C. Delaney, C. Galindo, E. Rowell, and Q. Zhang.
Communication in Mathematical Physics 386 (2021), 1-55.
On classification of super-modular categories of rank 8, with P. Bruillard, E. Rowell, and Q. Zhang.
Proceedings of the conference ``QUANTUM 60 Colloquium on Algebras and Representations'' in Journal of Algebra and its Applications 20, Issue 1 (2021), 2140017.
Dimension as a quantum statistic and the classification of metaplectic categories, with P. Bruillard, P. Gustafson, and E. C. Rowell.
Proceedings of the 2016 AMS Special Session in Brunswick, Maine on ``Topological Phases of Matter and Quantum Computation'' in Contemporary Mathematics 747, Amer. Math. Soc., Providence, RI, 2020.
Classification of super-modular categories by rank, with P. Bruillard, C. Galindo, S-H. Ng, E. C. Rowell, and Z. Wang.
Algebras and Representation Theory 23 (2020), 795-809.
Fusion Rules for Z/2Z Permutation Gauging, with C. Edie-Michell and C. Jones.
Journal of Mathematical Physics 60 (2019), 102302.
Modular categories of dimension p^3m with m square-free, with P. Bruillard and E. Rowell.
Proc. Amer. Math. Soc. 147 (2019) no. 1, 21-34.
Tensor products and support varieties for some noncocommutative Hopf algebras, with S. Witherspoon. Algebras and Representation Theory 21, Issue 2 (2018), 259-276.
Fermionic modular categories and the 16-fold Way, with P. Bruillard, C. Galindo, T. Hagge, S.-H. Ng, E. Rowell, Z. Wang.
Journal of Mathematical Physics 58 (2017), 041704
Tensor functor between Morita duals of fusion categories, with C. Galindo.
Letters in Mathematical Physics 107, Issue 3 (2017), 553-590.
On Gauging Symmetry of Modular Categories, with S.X. Cui, C. Galindo and Z. Wang.
Communication in Mathematical Physics 348, no. 3 (2016), 1043-1064.
Low-dimensional representations of the three component loop braid group, with P. Bruillard, L. Chang, S.-M. Hong, E. C. Rowell and M. Y. Sun.
Journal of Mathematical Physics 56, no. 11 (2015), 111707.
On the Classification of Weakly Integral Modular Categories, with P. Bruillard, C. Galindo, S-H. Ng, E. C. Rowell and Z. Wang.
Journal of Pure and Applied Algebra 220, no. 6 (2016), 2364-2388.
Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2,
with P. Bruillard, C. Galindo, S.-M. Hong, Y. Kashina, D. Naidu, S. Natale and E. C. Rowell.
Canadian Mathematical Bulletin 57, no. 4 (2014), 721-734.
Solvability of a class of braided fusion categories, with S. Natale.
Applied Categorical Structures 22 (2014), 229-240.
On fusion categories with few irreducible degrees, with S. Natale.
Algebra & Number Theory 6, no. 6 (2012), 1171-1197.