Mouhot obtained his PhD in 2004[1] under the supervision of Cedric Villani at the École normale supérieure de Lyon.
[8] In 2013, his work "Kac's program in kinetic theory"[9] with Mischler was the subject of a Séminaire Bourbaki.
Mouhot was an invited speaker at International Congress of Mathematicians in Rio de Janeiro in 2018,[10] and at the conference Dynamics, Equations and Applications in Kraków in 2019.
[12] and the "Grand Prix Madame Victor Noury" of the French "Académie des sciences".
In 2018, Mouhot helped organise a letter protesting Noah Carl's appointment to a fellowship at St Edmund's College, with Mouhot and other signatories describing Carl's work on genetics and race as pseudoscience.