Department of Mathematics
University of Louisiana at Lafayette
Maxim Doucet Hall
Lafayette, LA 70504
Office: Maxim Doucet Hall 408
Curriculum Vitae (last updated: 10/2017)
I am an Assistant Professor in the mathematics department at
UL Lafayette. Before coming to
Louisiana, I held postdoctoral appointments at the University
of Aberdeen, the University of
Montana, and Rutgers
My research is in 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
Monday 8:30-11:00, Wednesday 12:00-1:00, and
Materials for both of these courses can be found on Math 250: Survey of Calculus
Math 565: Abstract Algebra I
Extensions of the Benson-Solomon fusion systems
with Ellen Henke
Fusion systems with some sporadic
J-components ( doi,
arXiv), with Julianne Rainbolt
J. Algebra 489 (2017), 165-178.
Control of fixed points and existence and uniqueness
of centric linking systems ( doi,
with George Glauberman
Invent. Math. 206 (2016), no.2, 441-484.
A characterization of the 2-fusion system of
L 4( q)
J. Algebra 428 (2015), 315-356.
The Thompson-Lyons transfer lemma for fusion systems
Bull. Lond. Math. Soc. (2014) 46 (6): 1276-1282
Weak closure and Oliver's
p-group conjecture ( doi, arXiv), with David J.
Israel J. Math. 197 (2013), no. 1, 497-507.
2-subnormal quadratic offenders and Oliver's p-group
conjecture ( doi, arXiv)
Proc. Edin. Math. Soc. 56 (2013), 211-222.
Analogues of Goldschmidt's thesis for fusion systems ( doi, arXiv), with Sejong Park
J. Algebra 324 (2010), 3487-3493.
A characterization of the 2-fusion system of L 4( q)
Ph.D. Thesis, The Ohio State University, 2012.
generalisations and applications 2 , St. Andrews, May
LAMFA, Université Picardie
Jules Verne, Amiens, April 6, 2017.
and duality in modular representation theory, Copenhagen, March
Leicester, March 21, 2017.
of London, March 5-9, 2017.
of Birmingham, February 15, 2017.
simple groups, their fusion systems and representations, Lausanne,
December 12-16, 2016.
Fusion systems and equivariant algebraic topology, HIM Bonn,
November 21-24, 2016.
University of York,
October 24, 2016.
and topological aspects of the representation theory of finite
groups (Dave Benson's 60th birthday), PIMS,
Vancouver, August 1-5, 2016
University of Chicago, May 20 -
June 6, 2016.
Joint Meetings, Seattle, January 6-9, 2016.
Emory University, November 6, 2015.
Simple Groups: Thirty years of the Atlas and beyond, Princeton,
November 2-5, 2015.
AMS Western Fall Sectional, Fullerton, October 24-25, 2015.
on Finite Simple Groups and Related Topics (70th birthday
conference of R. Lyons), University of Warwick, July 6-11, 2015.
University of Chicago, May
19 - June 10, 2015.
and Geometries, Banff, May 3-8,
Spring AMS Sectional, East Lansing, March 13-15, 2015.
Joint Meetings, San
Antonio, January 10-13, 2015.
Fusion systems and finite simple groups, Tsinghua Sanya
International Mathematics Forum, Sanya, Hainan, China. December 15-19,
Introduction to Linear Algebra (Spring 2016, Fall 2015)
Introduction to Abstract Algebra (Fall 2015)
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)