Mathematical interests
- Non/commutative tensor-triangular geometry
- Block theory and local-global modular representation theory of finite groups
- Intersections between representation theory and tensor-triangular geometry
- Invertible objects and Picard groups
- Permutation modules and their role in representation theory
Publications and preprints
| Title | Co-Authors | Journal | arXiv |
|---|---|---|---|
| 10. Re-framing the classification of ideals in noncommutative tensor-triangular geometry | Timothy De Deyn | 2510.23767 | |
| 9. Permutation twisted cohomology, remixed | 2509.00954 | ||
| 8. The Euler characteristic of an endotrivial complex | Nadia Mazza | Submitted | 2508.07404 |
| 15/2. Permutation Modules and Endotrivial Complexes | Advisor: Robert Boltje | Ph.D. Thesis, UC Santa Cruz | |
| 7. On functoriality and the tensor product property in noncommutative tensor-triangular geometry | Submitted | 2505.01899 | |
| 6. On endosplit $p$-permutation resolutions and Broue’s conjecture for $p$-solvable groups | Submitted | 2408.04094 | |
| 5. Galois descent of splendid Rickard equivalences between blocks of $p$-nilpotent groups | Proc. Amer. Math. Soc. 153 (5), 1893-1902 (2025) | 2405.16061 | |
| 4. The classification of endotrivial complexes | Adv. Math. 478, 110414 (2025) | 2403.04088 | |
| 3. Relatively endotrivial complexes | J. Pure Appl. Algebra, 229 (2), 107867 (2025) | 2402.08042 | |
| 2. Brauer pairs for splendid Rickard equivalences | Jadyn V. Breland | To appear, J. Algebra | 2312.10258 |
| 1. Endotrivial complexes | J. Algebra, 650, 173-218 (2024) | 2309.12138 | |
| 0. A proof of the optimal leapfrogging conjecture | Arthur T. Benjamin | Involve, 18 (1), 105–122 (2025) | 2110.08319 |
| -1/2. The Combinatorial Polynomial Hirsch Conjecture | Advisor: Mohamed Omar | Harvey Mudd College Senior Theses, 109 | |
| -1. Challenging knight’s tours | Arthur T. Benjamin | Math Horizons, 25 (3), 18-21 (2018) |
(Listed in chronological order)