Justin Lynd

Devon Endowed Assistant Professor of Mathematics
University of Louisiana at Lafayette
Maxim Doucet Hall
Lafayette, LA 70504
lynd@louisiana.edu
Office: Maxim Doucet Hall 408

Curriculum Vitae (last updated: 09/2020)

I am a Devon Endowed Assistant Professor of Mathematics here at the University of Louisiana at Lafayette. Before coming to Louisiana, I had 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.

Office hours (Fall 2020)

Monday 2:30-3:30, Wednesday 2:30-5:00pm, and by arrangment

Teaching (Fall 2020)

Materials for these courses can be found on Moodle.

Articles

  1. Weight conjectures for fusion systems (doi, arXiv), with Radha Kessar, Markus Linckelmann, and Jason Semeraro
    Adv. Math. 357 (2019), 40pp.
  2. Extensions of the Benson-Solomon fusion systems (doi, arXiv), with Ellen Henke
    in Geometric and Topological Aspects of the Representation Theory of Finite Groups,
    Springer Proc. Math. Stat. 242 (2018), 251-268.
  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, arXiv) 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.

Travel

In the recent past

Past Teaching

@ Louisiana

@ Montana

@ Rutgers