# Luis Caffarelli

Luis A. Caffarelli earned his Ph.D. in mathematics from the University of Buenos Aires. He is Professor of Mathematics and holds the Sid W. Richardson Foundation Regents’ Chair in Mathematics No. 1 at the University of Texas at Austin. He is also a core member of the Institute for Computational Engineering and Sciences there.

The focus of Caffarelli’s research has been in the area of elliptic nonlinear partial differential equations and their applications. His research has reached from theoretical questions about the regularity of solutions to fully nonlinear elliptic equations to partial regularity properties of Navier Stokes equations. Some of his most significant contributions are the regularity of free boundary problems and solutions to nonlinear elliptic partial differential equations, optimal transportation theory and, more recently, results in the theory of homogenization. Caffarelli has been cited as the world’s leading specialist in free-boundary problems for nonlinear partial differential equations.

Caffarelli has received numerous honors and awards including seven honorary doctorates, the Stampacchia Medal from the Italian Mathematical Union, the Bocher Memorial Prize from the American Mathematical Society, the Pius XI Gold Medal from the Pontifical Academy of Sciences, the Premio Konex, Platino y Brillantes from the Konex Foundation in Argentina, and the Rolf Schock Prize from the Swedish Royal Academy of Sciences. He also received the Leroy P. Steele Prize for Lifetime Achievement in Mathematics from the American Mathematical Society. In 2012 he received Israel’s Wolf Prize in Mathematics. The following year he was honored with the first ever, Solomon Lefschetz Medal at the inaugural Mathematical Congress of the Americas.