

Justin Lynd
Associate Professor/Devon Endowed 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: 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.
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.
Monday 910, Wednesday 810, Thursday 1112, or by arrangement.
 Math 465: Modern Algebra I
 Math 665: Topics in Algebra (Lie algebras)
 Cohomology on the centric orbit category of a fusion system
(arXiv), with George Glauberman
preprint, 10pp.
 Partial groups as symmetric simplicial sets (arXiv), with Philip Hackney
preprint, 22pp.
 Realizing finite groups as automizers (arXiv), with Sylvia Bayard
submitted, 9pp.
 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.
International Conference on
Mathematics and its Applications [virtual], Ho Chi Minh City, July
1415, 2022.
Groups, representations
and applications: new perspectives, Newton Institute, Cambridge,
July 230, 2022.
Group
Theory in Florence III, Florence, June 29July 2, 2022.
Zassenhaus
Groups and Friends Conference, Hofstra, June 35, 2022.
Fall Western Sectional
Meeting [virtual], University of Denver, May 1415, 2022.
Southern
Regional Algebra Conference, Georgia College, March 1820, 2022.
Groups, representations
and applications: new perspectives, February 20  March 7,
2020.
City, University of
London, January 3031, 2020.
Groups, representations and applications: new
perspectives, Newton Institute, Cambridge, January 4  February 1, 2020.
University
of South Alabama, Mobile, December 56, 2019.
University of Colorado Colorado
Springs, November 1315, 2019.
Fall Western Sectional
Meeting, Riverside, November 910, 2019.
University of California, Santa Cruz, November 68,
2019.
Fall Eastern Sectional
Meeting, Binghamton, October 1213, 2019.
Groups
and geometries, BIRS, Banff, August 2530, 2019.
ChinaUS
Group Theory Summit, San Marcos, August 2224, 2019.
VietnamUSA
Joint Mathematical Meeting, Quy Nhon, Vietnam, June 1013,
2019.
Representations of
finite groups, Oberwolfach, March 2430, 2019.
AMS
Spring Southeastern Sectional Meeting, Auburn, March 1517,
2019.
Northern Illinois University, Dekalb, November 1519, 2018.
University of Chicago, May 1223, 2018.
Southern Regional Algebra
Conference, Auburn University at Montgomery, April 2022,
2018.
Representations of finite
and algebraic groups, MSRI, April 913, 2018.
Zassenhaus Groups and Friends
Conference, University of South Florida, April 68, 2018.
AMS
Spring Central Sectional, Ohio State, March 1718, 2018.
MSRI, February 1124, 2018.
@ Louisiana
 Math 666: Advanced Topics in Abstract Algebra II (Spring 2019, Spring 2023)
 Math 665: Advanced Topics in Abstract Algebra I (Fall 2018, Fall 2022)
 Math 597: Special Topics (Spring 2019, Fall 2022)
 Math 109: Precalculus Algebra (Fall 2022)
 Math 566: Abstract Algebra II (Spring 2018, Spring 2022)
 Math 362: Elementary Linear Algebra (Fall 2020, Spring 2022)
 Math 360: Fundamentals of Mathematics (Fall 2021)
 Math 565: Abstract Algebra I (Fall 2017, Fall 2021)
 Math 562: Linear Algebra and Applications II (Spring 2021)
 Math 497: Special Topics (Spring 2019, Fall 2020, Spring 2021)
 Math 561: Linear Algebra and Applications I (Fall 2020)
 Math 466: Modern Algebra II (Spring 2020)
 Math 465: Modern Algebra I (Fall 2019)
 Math 270: Calculus I (Fall 2019)
 Math 250: Survey of Calculus (Fall 2017)
@ Montana
 Introduction to Linear Algebra (Spring 2016, Fall 2015)
 Introduction to Abstract Algebra (Fall 2015)
@ Rutgers
 Intro to Abstract Algebra (Spring 2015, Fall 2014, Fall 2012)
 Introduction to Mathematical Reasoning (Spring 2015, Fall 2014)
 Introductory Linear Algebra (Spring 2014, Spring 2013)
 Calculus II for the Mathematical and Physical Sciences (Fall 2013)
 Honors Calculus II (Fall 2012)