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).^[1] 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 [fr]. From 2015 to 2019 he was the director of the Fondation sciences mathématiques de Paris [fr]. Since 2020, he is the director of the Laboratoire Jacques-Louis Lions [fr].

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.^[2]

• 2006 — SIAM Outstanding Paper Prize
• 2010 — Prix Maurice-Audin
• 2011 — elected a member of the Institut universitaire de France
• 2012 — Felix Klein Prize^[3]
• 2014 — Prix Blaise-Pascal^[4]
• 2016 — Prix Madame Victor Noury^[5]
• 2018 — Invited Speaker, International Congress of Mathematicians at Rio de Janeiro

• Contrôle optimal: theorie et applications. Paris: Vuibert. 2005. ISBN 978-2-7117-2219-8; 250 pages{{cite book}}: CS1 maint: postscript (link) SUDOC 129684163
• with Bernard Bonnard and Ludovic Faubourg: Mécanique céleste et contrôle de systèmes spatiaux. Mathématiques et applications, 51. Springer Verlag. 2006. ISBN 978-3-540-28373-7; xiv + 276 pages{{cite book}}: CS1 maint: postscript (link) SUDOC 094211973