Research
My research topics include topological quantum field theories, modular tensor categories and symmetric fusion categories in positive characteristic.
My research topics include topological quantum field theories, modular tensor categories and symmetric fusion categories in positive characteristic.
Publications and preprints:
Publications and preprints:
[arXiv] Diagramatics for cyclic pointed fusion categories. Journal of Pure and Applied Algebra, 228, no. 12, 107752 (2024).
[arXiv] Diagramatics for cyclic pointed fusion categories. Journal of Pure and Applied Algebra, 228, no. 12, 107752 (2024).
[arXiv] On Frobenius-Schur exponent bounds. Joint with Julia Plavnik and Andrew Schopieray. Submitted (2024).
[arXiv] On Frobenius-Schur exponent bounds. Joint with Julia Plavnik and Andrew Schopieray. Submitted (2024).
[arXiv] On modular categories with Frobenius-Perron dimension congruent to 2 modulo 4. Joint with Akshaya Chakravarthy and Julia Plavnik. Proceedings of the AMS, to appear (2024).
[arXiv] On modular categories with Frobenius-Perron dimension congruent to 2 modulo 4. Joint with Akshaya Chakravarthy and Julia Plavnik. Proceedings of the AMS, to appear (2024).
[arXiv] Unoriented 2-dimensional TQFTs and the category Rep(St≀ℤ_2). Quantum topology, to appear (2024).
[arXiv] Unoriented 2-dimensional TQFTs and the category Rep(St≀ℤ_2). Quantum topology, to appear (2024).
[arXiv] Classification of low-rank odd-dimensional modular categories. Joint with William Gvozdjak and Julia Plavnik. Journal of Algebra, 655, 223--293 (2024).
[arXiv] Classification of low-rank odd-dimensional modular categories. Joint with William Gvozdjak and Julia Plavnik. Journal of Algebra, 655, 223--293 (2024).
[arXiv] Remarks on symmetric fusion categories of low rank in positive characteristic. International Mathematics Research Notices, rnad162 (2023).
[arXiv] Remarks on symmetric fusion categories of low rank in positive characteristic. International Mathematics Research Notices, rnad162 (2023).
[arXiv] On odd-dimensional modular tensor categories. Joint with Julia Plavnik. Algebra & Number Theory 16, no 8 (2022).
[arXiv] On odd-dimensional modular tensor categories. Joint with Julia Plavnik. Algebra & Number Theory 16, no 8 (2022).