Contractibility of the orbit space of a saturated fusion system after Steinberg
Mathematics · University of Louisiana at Lafayette
Omar Dennaoui
I study finite groups locally at a prime p, and the higher-categorical structures that encode them: partial groups, fusion systems, Segal conditions, and nerve theorems.
dennaoui@louisiana.edu
Maxim Doucet Hall 315 · Lafayette, LA 70504
Curriculum vitae ↓
Maxim Doucet Hall 315 · Lafayette, LA 70504
Research
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I'm a graduate student advised by Justin Lynd and Philip Hackney. My thesis has two connected threads:
Localities & higher Segal
The higher Segal degree of localities of symmetric and alternating groups at the prime 2.
Nerve theorems
Nerve theorems for higher categorical structures via monads, including cyclic multicategories.
More broadly, I think about fusion systems and their homotopy theory and homological algebra, and modular representation theory.
Articles1
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Talks11
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Invited
2026
Higher Segal conditions and localities of symmetric and alternating groups at the prime 2
Contributed
2026
2025
Older contributed talks (2023–2024)
Local & expository
2026
Higher Segal conditions and localities of symmetric and alternating groups at the prime 2
Older local talks (2022–2023)
Contractibility of the orbit space of a saturated fusion system after Steinberg
Limits and colimits, generators and relations of partial groups
Teaching
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MTHS 105/105S · Applied College Algebra Fundamentals
MTHS 109/109S · Pre-Calculus Algebra
MTHS 105/105S · Applied College Algebra Fundamentals
MATH 105 · Applied College Algebra
MATH 103/104 · Applied College Algebra Fundamentals
Education
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Ph.D. Mathematics, University of Louisiana at Lafayette
B.S. Mathematics with honors, University of Balamand, Lebanon