Emmanuel Trélat (born 24 December 1974) is a French mathematician. Emmanuel Trélat was admitted at École normale supérieure de Cachan (mathematics) in 1995 and obtained the agrégation in 1998. In 2000, he obtained a doctorate under the direction of Bernard Bonnard at the University of Burgundy at Dijon with thesis titled Étude asymptotique et transcendance de la fonction valeur en contrôle optimal; catégorie log-exp en géométrie sous-Riemannienne dans le cas Martinet (Asymptotic study and transcendence of the value function in optimal control; category log-exp in sub-Riemannian geometry in the Martinet case). In 2001 he was appointed an assistant professor at the University of Paris-Sud, where he obtained in 2005 his habilitation Contrôle en dimension finie et infinie (Control in finite and infinite dimension). In 2006 he was appointed a professor at the University of Orleans. Since 2011 he has been a professor at Sorbonne Université at the Laboratoire Jacques-Louis Lions. From 2015 to 2019 he was the director of the Fondation sciences mathématiques de Paris. Since 2020, he is the director of the Laboratoire Jacques-Louis Lions. Emmanuel Trélat's research focuses on control theory in finite and infinite dimensions, sub-Riemannian geometry, image analysis, domain optimization. He is also a specialist in numerical methods in optimal control, particularly in aerospace applications.