Pivotal Brauer-Picard groupoids and graded extensions, with A. Czenky, D. Jaklitsch, D. Nikshych, D. Reutter, S. Sanford, and H. Yadav. 

Preprint: arxiv: 2511.04482  (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)

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). 

Completion for braided enriched monoidal categories, with S. Morrison and D. Penneys.

Preprint: arXiv:1809.09782 (2018).

On the representation type of a finite tensor category, with P. Bergh, K. Erdmann, and S. Witherspoon. To appear in Annals of Representation Theory.

Preprint: arXiv:2509.20853  (2025)

Relating insplittings of 2-graphs and of textile systems, with S. Brooker, P. Ganesan, E. Gillaspy, Y.-F. Lin, and David Pask.  To appear in Journal of the Australian Mathematical Society (JAustMS).

Preprint: arXiv:2506.21708 (2025).

The Condensed Fiber Product and Zesting, with C. Delaney, C. Galindo, E. Rowell, and Q. Zhang.  Advances in Theoretical and Mathematical Physics Vol. 30, Issue 3 (2026), pp. 705-727. 

DOI: https://dx.doi.org/10.4310/ATMP.260522000224.

On the finite generation of the cohomology of bosonizations, with  N. Andruskiewitsch,  D. Jaklitsch, V.C. Nguyen, A. Oswald, A. Shepler, and X. Wang.  Journal of Algebra, Volume 691, 2026, Pages 741-780. 

DOI:  https://doi.org/10.1016/j.jalgebra.2025.10.057.

Relation between bicrossed products and crossed extensions of fusion categories, with M. Müller and H.M. Peña Pollastri. Revista de la Unión Matemática Argentina, Volumen 69, no. 1, 281–294 (2026).

DOI: 10.33044/revuma.5338 

Tambara-Yamagami Categories over the Reals: The Non-Split Case,  with S. Sanford, and D. Sconce.  Journal of the London Mathematical Society 112(6) Dec 2025.

DOI:  https://doi.org/10.1112/jlms.70355

Zesting produces modular isotopes and explains their topological invariants, with C. Delaney and S. Kim.  Quantum Topol. (2025), published online first

DOI: 10.4171/QT/238

On modular categories with Frobenius-Perron dimension congruent to 2 modulo 4, with A. Chakravarthy and A. Czenky.  Proceedings of the American Mathematical Society Ser. B 12 (2025), 197-209.

DOI: https://doi.org/10.1090/bproc/231

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. Bulletin of the Belgian Mathematical Society 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. Bulletin of the London Mathematical Society 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. 

DOI: 10.2140/ant.2022.16.1919

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.