Here are descriptions of some of the projects I have worked on with Bucknell students. Some of these projects were Honors Theses. Some of them have appeared as journal articles.
- A contraction based approach to tensor isomorphism, Anh Kieu (Honors Thesis, 2022)
- Symplectic groups acting on polytopes, J. T. Ferrara.
- Orthogonal groups in characteristic 2 acting on polytopes of high rank, Discrete & Computational Geometry 63, no.3, 656-669, 2020. (Peter A. Brooksbank, J. T. Ferrara, and Dimitri Leemans)
- Optimal Gram-Schmidt type algorithms, Shelby Kilmer (Honors Thesis, 2015).
- On a problem of Burnside, Matthew Mizuhara (Honors Thesis, 2012).
- On groups with a class-preserving outer automorphism, Involve 7, no.2, 171-179, 2014. (Peter A. Brooksbank and Matthew S. Mizuhara)
- Rigidity of right-angled Coxeter groups, Aaron Meyers (Honors Thesis, 2010; co-advised with A. Piggott)
- Classical groups acting on polytopes, Deborah Vicinsky (Honors Thesis, 2009).
- Three-dimensional classical groups acting on polytopes, Discrete & Computational Geometry 44, no.3, 654-659, 2010. (Peter A. Brooksbank and Deborah A. Vicinsky)