Luis A. Caffarelli is an Argentinian mathematician and leader in the field of partial differential equations and their applications.
Caffarelli obtained his Masters of Science (1968) and Ph.D. (1972) at the University of Buenos Aires. 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 permanent member at the Institute for Advanced Study in Princeton. In 1991 he was elected to the National Academy of Sciences. He has been awarded Doctor Honoris Causa from l'Ecole Normale Superieure, Paris; Universidad Autonoma de Madrid, and Universidad de La Plata, Argentina. He received the Bocher Prize in 1984.
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 expert 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.
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