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] 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. Submitted (2023).
[arXiv] On modular categories with Frobenius-Perron dimension congruent to 2 modulo 4. Joint with Akshaya Chakravarthy and Julia Plavnik. Submitted (2023).
[arXiv] Classification of low-rank odd-dimensional modular categories. Joint with William Gvozdjak and Julia Plavnik. Journal of Algebra, 0021-8693 (2023).
[arXiv] Classification of low-rank odd-dimensional modular categories. Joint with William Gvozdjak and Julia Plavnik. Journal of Algebra, 0021-8693 (2023).
[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).
I am actively working in projects related to:
I am actively working in projects related to:
- Relationship between TQFTs and Representation Theory
- Extensions of fusion categories
- Classification of modular tensor categories
- Numerical properties of modular tensor categories (Egyptian fractions)