408 Maxim Doucet Hall
Ph.D., 2012, The Ohio State University
B.S., 2004, Marshall University
Before arriving at UL Lafayette, I held postdoctoral appointments at Rutgers University, the University of Montana, and the University of Aberdeen.
My research interests are in the structure and representation theory of finite groups, as viewed locally at a prime p. This often leads me to the study of fusion systems, which are finite categories that serve as models for the p-local structures of finite groups, for local structures of blocks of finite group algebras in characteristic p, as well as for the p-completed classifying spaces of finite groups.
Selected research publications:
- Extensions of the Benson-Solomon fusion systems (with Ellen Henke), Geometric and Topological Aspects of the Representation Theory of Finite Groups,Springer Proc. Math. Stat. 242 (2018), 251-268. doi: 10.1007/978-3-319-94033-5_10
- Fusion systems with some sporadic J-components (with Julianne Rainbolt), Journal of Algebra 489 (2017), 165-178.
- Control of fixed points and existence and uniqueness of centric linking systems (with George Glauberman), Inventiones Mathematicae 206 (2016), no.2, 441-484.
- A characterization of the 2-fusion system of L_4(q), Journal of Algebra 428 (2015), 315-356.
- The Thompson-Lyons transfer lemma for fusion systems, Bulletin of the London Mathematical Society 46 (2014), (6), 1276-1282.
- Weak closure and Oliver's p-group conjecture (with David J. Green), Israel Journal of Mathematics 197 (2013), no. 1, 497-507.
- 2-subnormal quadratic offenders and Oliver's p-group conjecture, Proceedings of the Edinburgh Mathematical Society 56 (2013), 211-222.
- Analogues of Goldschmidt's thesis for fusion systems (with Sejong Park), Journal of Algebra 324 (2010), 3487-3493.