Justin Lynd

Department of Mathematics
University of Louisiana at Lafayette
Maxim Doucet Hall
Lafayette, LA 70504
lynd@louisiana.edu
Office: TBD

Curriculum Vitae (last updated: 07/2017)

I am an Assistant Professor in the mathematics department at 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 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 representation theory.

Articles

  1. Extensions of the Benson-Solomon fusion systems (arXiv), with Ellen Henke
    submitted, 14pp.
  2. Fusion systems with some sporadic J-components (arXiv), with Julianne Rainbolt
    J. Algebra (to appear), 14pp.
  3. 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.
  4. A characterization of the 2-fusion system of L4(q) (doi, arXiv),
    J. Algebra 428 (2015), 315-356.
  5. The Thompson-Lyons transfer lemma for fusion systems (doi, arXiv),
    Bull. Lond. Math. Soc. (2014) 46 (6): 1276-1282
  6. Weak closure and Oliver's p-group conjecture (doi, arXiv), with David J. Green.
    Israel J. Math. 197 (2013), no. 1, 497-507.
  7. 2-subnormal quadratic offenders and Oliver's p-group conjecture (doi, arXiv)
    Proc. Edin. Math. Soc. 56 (2013), 211-222.
  8. Analogues of Goldschmidt's thesis for fusion systems (doi, arXiv), with Sejong Park
    J. Algebra 324 (2010), 3487-3493.

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