

Justin Lynd
Associate Professor
University of Louisiana at Lafayette
Maxim Doucet Hall
Lafayette, LA 70504
lynd@louisiana.edu
Office: Maxim Doucet Hall 408
Curriculum Vitae (last updated: 08/2022)

I am an Associate Professor and Devon Endowed Professor of Mathematics
at the University of Louisiana at
Lafayette. Before coming to Louisiana, I was a postdoc at the University
of Aberdeen, the University of
Montana, and Rutgers
University. Before that, I was a graduate student at Ohio State,
where my advisor was Ron Solomon.
My research is on the structure of finite groups around a prime
p, and especially how that structure interacts with
adjacent fields. I tend to think most about partial groups, fusion
systems and their associated homotopy theory and homological
algebra, and modular representation theory.
I am on leave during academic year 20242025.
 Realizing finite groups as automizers (doi, arXiv), with Sylvia Bayard
J. Group Theory (2024)
 Punctured groups for exotic fusion systems (doi, arXiv), with Ellen Henke and
Assaf Libman
Trans. London Math. Soc. 10 (2023), no. 1, 2199.
 Weights in a BensonSolomon block (doi, arXiv), with Jason Semeraro
Forum Math. Sigma 11 (2023), Paper No. e60.
 Fusion systems with BensonSolomon components (doi, arXiv),
with Ellen Henke
Duke Math. J., 171 (2022), no. 3, 673737.
 Rigid automorphisms of linking systems (doi, arXiv), with George Glauberman
Forum Math. Sigma 9 (2021), Paper No. e23.
 Centers of Sylow subgroups and automorphisms
(doi, arXiv), with George
Glauberman, Robert
Guralnick, and Gabriel Navarro
Israel J. Math 240 (2020), no. 1, 253266.
 Weight conjectures for fusion systems (doi, arXiv), with
Radha Kessar,
Markus Linckelmann,
and
Jason Semeraro
Adv. Math. 357 (2019), 40pp.
 Extensions of the BensonSolomon 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), 251268.
 Fusion systems with some sporadic
Jcomponents (doi,
arXiv), with Julianne Rainbolt
J. Algebra 489 (2017), 165178.
 Control of fixed points and existence and uniqueness
of centric linking systems (doi,
arXiv)
with George Glauberman
Invent. Math. 206 (2016), no.2, 441484.
 A characterization of the 2fusion system of
L_{4}(q)
(doi,
arXiv),
J. Algebra 428 (2015), 315356.
 The ThompsonLyons transfer lemma for fusion systems
(doi,
arXiv),
Bull. Lond. Math. Soc. (2014) 46 (6): 12761282
 Weak closure and Oliver's
pgroup conjecture (doi, arXiv), with David J.
Green.
Israel J. Math. 197 (2013), no. 1, 497507.
 2subnormal quadratic offenders and Oliver's pgroup
conjecture (doi, arXiv)
Proc. Edin. Math. Soc. 56 (2013), 211222.
 Analogues of Goldschmidt's thesis for fusion systems (doi, arXiv), with Sejong Park
J. Algebra 324 (2010), 34873493.
 A characterization of the 2fusion system of L_{4}(q)
(pdf)
Ph.D. Thesis, The Ohio State University, 2012.
Topology, representation theory, and higher structures, Isle of Skye, May 26June 22, 2024.
Masterclass: Exit paths and stratified homotopy types, University of Copenhagen, June 24June 28, 2024.
Joint perspectives in geometry, algebra, and topology, CRM Barcelona, July 1July 5, 2024.
AMS Western Sectional Meeting, University of California, Riverside, October 2627, 2024.
Finite groups, fusion systems, and applications, Oberwolfach, March 1621, 2025.