Haïm Brezis (born 1 June 1944) is a French mathematician, who mainly works in functional analysis and partial differential equations.

Born in Riom-ès-Montagnes, Cantal, France. Brezis is the son of a Romanian immigrant father, who came to France in the 1930s, and a Jewish mother who fled from the Netherlands. His wife, Michal Govrin, a native Israeli, works as a novelist, poet, and theater director.^[1] Brezis received his Ph.D. from the University of Paris in 1972 under the supervision of Gustave Choquet. He is currently a professor at the Pierre and Marie Curie University and a visiting distinguished professor at Rutgers University. He is a member of the Academia Europaea (1988) and a foreign associate of the United States National Academy of Sciences (2003). In 2012 he became a fellow of the American Mathematical Society.^[2] He holds honorary doctorates from several universities including National Technical University of Athens.^[3] Brezis is listed as an ISI highly cited researcher.^[4] He also served on the Mathematical Sciences jury for the Infosys Prize in 2013 and 2014. In 2024 he was awarded the Leroy P. Steele Prize for Lifetime Achievement of the AMS.

• Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert (1973)
• Analyse Fonctionnelle. Théorie et Applications (1983)
• Haïm Brezis. Un mathématicien juif. Entretien Avec Jacques Vauthier. Collection Scientifiques & Croyants. Editions Beauchesne, 1999. ISBN 978-2-7010-1335-0, ISBN 2-7010-1335-6
• Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer; 1st Edition. edition (November 10, 2010), ISBN 978-0-387-70913-0, ISBN 0-387-70913-4

• Bony–Brezis theorem
• Brezis–Gallouet inequality
• Brezis–Lieb lemma