Omar Dennaoui

Research Assistant
University of Louisiana at Lafayette
Maxim Doucet Hall
Lafayette, LA 70504
dennaoui@louisiana.edu
Office: Maxim Doucet Hall 315

Curriculum Vitae (last updated: 06/29/2026)

I am a fourth-year graduate student at the University of Louisiana at Lafayette, where my advisors are Drs. Justin Lynd and Philip Hackney. 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.

Education

Unversity of Louisiana at Lafayette, Lafayette, LA, USA
Ph.D. Mathematics (01/2021 - present)
Surpervised by Drs. Justin Lynd and Philip Hackney.
University of Balamand, Balamand, El-Koura, Lebanon
B.S. Mathematics, with honors (01/2017 - 06/2020)

Articles

  1. Contractibility of the orbit space of a saturated fusion system after Steinberg (doi, arXiv, pdf), with Jonathon Villareal
    J. Algebra 677 (2025), 267-277.

Talks

Contributed

  1. The International Category Theory Conference & Discoveries and Vistas, Johns Hopkins University, July 2026:
     A Nerve Theorem for Cyclic Mulitcategories link
  2. 2026 Southern Regional Algebra Conference, Southeastern Louisiana University, March 2026
     Higher Segal Conditions and Localities of Symmetric and Alternating Groups at the Prime 2 link
  3. 2025 Southern Regional Algebra Conference in conjunction with Lloyd Roeling UL Lafayette Mathe matics Conference, University of Louisiana at Lafayette, April 2025:
     Contractibility of the orbit space of a saturated fusion system after Steinberg link
  4. The South Central Topology Conference IV, Texas A&M University, March 2025:
     Contractibility of the orbit space of a saturated fusion system after Steinberg link
  5. Zassenhaus Groups and Friends Conference, Texas State University, October 2023
     Contractibility of the orbit space of a saturated fusion system after Steinberg link
  6. The South Central Topology Conference III, New Mexico State University, :
     Contractibility of the orbit space of a saturated fusion system after Steinberg link

Teaching Experience

@ University of Louisiana at Lafayette