My research topics include topological quantum field theories, modular tensor categories and symmetric fusion categories in positive characteristic.
Publications and preprints:
8. [arXiv] On extended Frobenius Structures. Joint with Jacob Kesten, Abiel Quinonez and Chelsea Walton.
7. [arXiv] Diagramatics for cyclic pointed fusion categories.
Journal of Pure and Applied Algebra, 228, no. 12, 107752 (2024).
6. [arXiv] On Frobenius-Schur exponent bounds. Joint with Julia Plavnik and Andrew Schopieray.
5.[arXiv] On modular categories with FP dimension congruent to 2 mod 4. Joint with Akshaya Chakravarthy and Julia Plavnik.
Proceedings of the AMS, to appear (2024).
4. [arXiv] Unoriented 2-dimensional TQFTs and the category Rep(St≀ℤ_2).
Quantum topology, to appear (2024).
3. [arXiv] Classification of low-rank odd-dimensional modular categories. Joint with William Gvozdjak and Julia Plavnik.
2. [arXiv] Remarks on symmetric fusion categories of low rank in positive characteristic.
[arXiv] On odd-dimensional modular tensor categories. Joint with Julia Plavnik.