## Papers

My current focus is the modular representation theory of finite groups. In particular:

- Local-to-global conjectures such as Broue’s abelian defect group conjecture
- Finiteness conjectures such as Puig’s conjecture
- Biset functors and applications
- Endotrivial modules and generalizations

I am also interested in combinatorial methods within modular representation theory.

## Publications

- S. K. Miller, A. T. Benjamin (2023),
*A proof of the optimal leapfrogging conjecture,*Involve (to appear) arXiv - A. T. Benjamin, S. K. Miller (2018):
*Challenging knight’s tours,*Math Horizons 25:3, 18-21. PDF

## Preprints and projects

- S. K. Miller,
*Relative endotrivial complexes and restriction*(in progress) - J Breland, S. K. Miller,
*Brauer pairs for splendid Rickard complexes*(in progress) - S. K. Miller,
*Endotrivial complexes.*(submitted for publication) (2023) arXiv

## Theses

- S. K. Miller (2017):
*The Combinatorial Polynomial Hirsch Conjecture,*Harvey Mudd College Senior Theses, 109.