Omar Mohsen joined the École Normale Supérieure in 2012. In 2015, he defended his thesis at Université Paris-Cité in non-commutative geometry under the supervision of G. Skandalis. Since 2015, he has been a lecturer at Université Paris-Saclay.
He is interested in partial differential equations and sub-Riemannian geometry, which he studies using methods from noncommutative geometry and operator algebras.
In particular, he and his collaborators used C*-algebras of singular foliations to prove a conjecture of Helffer and Nourrigat concerning maximally hypoelliptic differential operators. In addition, he obtained a topological formula for their analytic index.
Omar Mohsen is the winner of the Claude-Antoine Peccot Prize for 2024-2025, nominated by Prof. Pierre-Louis Lions, Chair of Partial Differential Equations and Applications.