Justin Lynd

Department of Mathematics
University of Louisiana at Lafayette
Maxim Doucet Hall
Lafayette, LA 70504
Office: Maxim Doucet Hall 408

Curriculum Vitae (last updated: 01/2018)

I am an Assistant Professor in the mathematics department at the University of Louisiana at Lafayette. Before coming to Louisiana, I held postdoctoral appointments at the University of Aberdeen, the University of Montana, and Rutgers University.

My research is on the structure of finite groups, especially around a prime p. I tend to think most about fusion systems and their associated homotopy theory and homological algebra, geometries and subgroup complexes of finite groups, and modular representation theory.

I currently organize the department's Algebra Seminar.

Office hours (Spring 2018)

Monday and Tuesday 9:00-11:00, and by appointment

Teaching (Spring 2018)

Materials for this course can be found on Moodle.


  1. Weights in a Benson-Solomon block (arXiv), with Jason Semeraro
    preprint, 22pp.
  2. Extensions of the Benson-Solomon fusion systems (arXiv), with Ellen Henke
    submitted, 14pp.
  3. Fusion systems with some sporadic J-components (doi, arXiv), with Julianne Rainbolt
    J. Algebra 489 (2017), 165-178.
  4. Control of fixed points and existence and uniqueness of centric linking systems (doi, postprint), with George Glauberman
    Invent. Math. 206 (2016), no.2, 441-484.
  5. A characterization of the 2-fusion system of L4(q) (doi, arXiv),
    J. Algebra 428 (2015), 315-356.
  6. The Thompson-Lyons transfer lemma for fusion systems (doi, arXiv),
    Bull. Lond. Math. Soc. (2014) 46 (6): 1276-1282
  7. Weak closure and Oliver's p-group conjecture (doi, arXiv), with David J. Green.
    Israel J. Math. 197 (2013), no. 1, 497-507.
  8. 2-subnormal quadratic offenders and Oliver's p-group conjecture (doi, arXiv)
    Proc. Edin. Math. Soc. 56 (2013), 211-222.
  9. Analogues of Goldschmidt's thesis for fusion systems (doi, arXiv), with Sejong Park
    J. Algebra 324 (2010), 3487-3493.


In the recent past

Past Teaching

@ Louisiana

@ Montana

@ Rutgers