Justin Lynd

Justin Lynd
  • Faculty
  • Devon Endowed Professor of Mathematics
  • Associate Professor

Education

Ph.D., 2012
The Ohio State University

B.S., 2004
Marshall University

Student Research/Collaboration

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.

Publications

  • Ellen Henke and Justin Lynd, Fusion systems with Benson-Solomon components, Duke Mathematical Journal, 171 (2022), no. 3, 673--737.
  • George Glauberman, Robert Guralnick, Justin Lynd, and Gabrielle Navarro. Centers of Sylow subgroups and automorphisms, Israel J. Math (2020), 14pp.
  • Kessar, Radha and Linckelmann, Markus and Lynd, Justin and Semeraro, Jason, Weight conjectures for fusion systems, Adv. Math., 357 (2019), 106825, 40
  • Henke, Ellen and Lynd, Justin, Extensions of the Benson-Solomon fusion systems, Geometric and topological aspects of the representation theory of finite groups, Springer Proc. Math. Stat., 242 (2018),251--268.
  • Lynd, Justin and Rainbolt, Julianne, Fusion systems with some sporadic $J$-components, J. Algebra, 489 (2017),165--178