I primarily study the modular representation theory of finite groups.

**Current focuses**

- Local-to-global conjectures such as Broue’s abelian defect group conjecture
- Invertible objects such as endotrivial modules and complexes
- Intersections of modular representation theory and tensor-triangulated geometry
- Biset functors and applications
- Galois descent

**Future interests**

- Categorification and diagrammatic categories
- Intersections of combinatorics and modular representation theory
- Counting conjectures such as Alperin’s weight conjecture

## Publications and Preprints

**Galois descent of endosplit $p$-permutation resolutions**In progress

**Galois descent of splendid Rickard equivalences between blocks of $p$-nilpotent groups**Submitted May 2024

**On endotrivial complexes and the generalized Dade group**Submitted March 2024

**Relatively endotrivial complexes**Submitted February 2024

**Brauer pairs for splendid Rickard complexes**(with Jadyn V. Breland)

Submitted December 2023**Endotrivial complexes****A proof of the optimal leapfrogging conjecture****Challenging knight’s tours**(with Arthur T. Benjamin)

Math Horizons, 25(3), 18-21 (2018)

## Theses

**The Combinatorial Polynomial Hirsch Conjecture**Harvey Mudd College Senior Theses, 109.