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Luis Caffarelli

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Title: Luis Caffarelli  
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Subject: Wolf Prize in Mathematics, Andrew Wiles, Institute for Computational Engineering and Sciences, Literature of phase boundaries, Navier–Stokes existence and smoothness
Collection: 1948 Births, 20Th-Century American Mathematicians, 21St-Century American Mathematicians, Argentine Mathematicians, Fellows of the American Mathematical Society, Institute for Advanced Study Faculty, Isi Highly Cited Researchers, Living People, Mathematical Analysts, Members of the United States National Academy of Sciences, New York University Faculty, Pde Theorists, People from Buenos Aires, Rolf Schock Prize Laureates, University of Chicago Faculty, University of Minnesota Faculty, University of Texas at Austin Faculty, Wolf Prize in Mathematics Laureates
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Luis Caffarelli

Luis Caffarelli
Born (1948-12-08) December 8, 1948
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 Calderon
Doctoral students Nestor Aguilera
Ioannis Athanasopoulos
Daniel Phillips
Lihe Wang
Ovidiu Savin
Luis Silvestre
Ivan Blank
Nestor Guillen
Ki-ahm Lee
Peiyong Wang
Leonardo Bonorino
Claudia Lederman
Diego Moreira
Betul Orcan
Russell Schwab
Eduardo Teixeira
Monica Torres
Enrico Valdinoci
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 leader in the field of partial differential equations and their applications.


  • Career 1
  • Important results 2
  • Awards and recognition 3
  • Bibliography 4
  • References 5
  • External links 6


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 professor at the Institute for Advanced Study in Princeton.

Important results

Caffarelli received great recognition with his breakthrough paper "The regularity of free boundaries in higher dimensions" published in 1977 in Acta Mathematica.[1] 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.[2]

Awards and recognition

In 1991 he was elected to the National Academy of Sciences. He has been awarded Doctor Honoris Causa from l'École Normale Supérieure, Paris; Universidad Autónoma de Madrid, and Universidad de La Plata, Argentina. He received the Bôcher Memorial Prize in 1984. Caffarelli is listed as an ISI highly cited researcher.[3]

In 2003 Konex Foundation from Argentina granted him the Diamond Konex Award, one of the most prestigious awards in Argentina, as the most important Scientist of his country in the last decade. In 2005, he received the prestigious Rolf Schock Prize of the Royal Swedish Academy of Sciences "for his important contributions to the theory of nonlinear partial differential equations". He also received the Leroy P. Steele Prize for Lifetime Achievement in Mathematics in 2009. In 2012 he was awarded the Wolf Prize in Mathematics (jointly with Michael Aschbacher) and became a fellow of the American Mathematical Society.[4]


In addition to over two hundred articles in refereed academic journals, Caffarelli has coauthored two books:

  1. Fully Nonlinear Elliptic Equations by Luis Caffarelli and Xavier Cabré (1995), American Mathematical Society. ISBN 0-8218-0437-5
  2. A Geometric Approach to Free Boundary Problems by Luis Caffarelli and Sandro Salsa (2005), American Mathematical Society. ISBN 0-8218-3784-2


  1. ^ Caffarelli, Luis (1977), "The regularity of free boundaries in higher dimensions", Acta Mathematica 139: 155–184,  
  2. ^ Caffarelli, Luis; Kohn, Robert; Nirenberg, Louis (1982), "Partial regularity of suitable weak solutions of the navier-stokes equations", Communications on Pure and Applied Mathematics 35: 771–831,  
  3. ^ "List of ISI highly cited researchers". 
  4. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.

External links

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