Luis Caffarelli

Luis Caffarelli
Born	(1948-12-08) December 8, 1948 (age 68) Buenos Aires, Argentina
Fields	Mathematics
Institutions	University of Texas at Austin Institute for Advanced Study University of Chicago Courant Institute of Mathematical Sciences University of Minnesota
Alma mater	University of Buenos Aires
Doctoral advisor	Calixto Calderón
Doctoral students	Ovidiu Savin Guido de Philippis
Notable awards	Bôcher Memorial Prize (1984) Pontifical Academy of Sciences (1994) Rolf Schock Prize (2005) Leroy P. Steele Prize (2009) Wolf Prize in Mathematics (2012)

Luis A. Caffarelli (born December 8, 1948) is an Argentine mathematician and luminary in the field of partial differential equations and their applications.

Caffarelli was born and grew up in Buenos Aires. He obtained his Masters of Science (1968) and Ph.D. (1972) at the University of Buenos Aires. His Ph.D. advisor was Calixto Calderón. He currently holds the Sid Richardson Chair at the University of Texas at Austin. He also has been a professor at the University of Minnesota, the University of Chicago, and the Courant Institute of Mathematical Sciences at New York University. From 1986 to 1996 he was a professor at the Institute for Advanced Study in Princeton.

Caffarelli received great recognition with his breakthrough paper "The regularity of free boundaries in higher dimensions" published in 1977 in Acta Mathematica. Since then, he has been considered one of the world's leading experts in free boundary problems and nonlinear partial differential equations. He developed several regularity results for fully nonlinear elliptic equations including the Monge-Ampere equation. He is also famous for his contributions to homogenization. Recently, he has taken an interest in Integro-differential equations.

One of his most cited and celebrated results regards the Partial regularity of suitable weak solutions of the Navier–Stokes equations, obtained in 1982 in collaboration with Louis Nirenberg and Robert V. Kohn.