(Jean) François Treves (born April 23, 1930, in Brussels) is an American mathematician, specializing in partial differential equations.
Trèves earned his Ph.D. in 1958 from Paris-Sorbonne University under the supervision of Laurent Schwartz.
In 1972 he received the Chauvenet Prize for "On local solvability of linear partial differential equations" in the Bulletin of the AMS (Volume 76, 1970, pp. 552–571).
It was about the problem he worked in 1962 with Louis Nirenberg with whom he found necessary and sufficient conditions for the solvability of equations with analytic coefficients, 1969 (Comptes Rendus de l'Académie des Sciences Paris Bd.269).
In 1970 he was an invited speaker at the International Congress of Mathematicians in Nice (Hamiltonian fields, bicharacteristic strips in relation with existence and regularity of solutions of linear partial differential equations).