American Academy of Arts and Sciences, and the Pontifical Academy of Sciences. The focus of Professor 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 results in the theory of homogenization.

Emmanuel J. Candes is a professor of statistics and mathematics at Stanford University. He has carried out research into compressive sensing, mathematical signal processing, computational harmonic analysis, multiscale analysis, scientific computing, statistical estimation and detection, high-dimensional statistics, theoretical computer science, mathematical optimization, and information theory. He received his Diplôme from the Ecole Polytechnique and his Ph.D. in statistics from Stanford University in 1998.

Phillip Colella is senior mathematician and goup leader of the Applied Numerical Algorithms Group at the E.O. Lawrence Berkeley National Laboratory. He is a leader in the development of mathematical methods and computer science tools for science and engineering. His work has resulted in software tools applicable in a wide variety of problems in fluid dynamics, shock wave theory, and astrophysics. Dr. Colella received an A.B. and a Ph.D. from the University of California at Berkeley. He was elected to the NAS in 2004.

David Eisenbud was director of the Mathematical Sciences Research Institute at the University of California at Berkeley, from 1997 until 2007, and he continues to serve on the faculty of Berkeley as professor of mathematics. In 2009 he also became director of mathematics and the physical sciences at the Simons Foundation. Dr. Eisenbud received his Ph.D. in mathematics in 1970 at the University of Chicago. He was on the faculty at Brandeis University for 27 years before coming to Berkeley and has also been a visiting professor at Harvard, Bonn, and Paris. His mathematical interests range widely over commutative and noncommutative algebra, algebraic geometry, topology, and computer methods. He was president of the American Mathematical Society (AMS) in 2004 and 2005 and is a director of Math for America, a foundation devoted to improving mathematics teaching. In 2006, Dr. Eisenbud was elected a fellow of the American Academy of Arts and Sciences. He currently serves on the editorial boards of the Journal of Algebra and Number Theory, the Bulletin de la Société Mathématique de

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