Luis Caffarelli

For others with this surname, see Caffarelli.
Luis Caffarelli
Born December 8, 1948 (1948-12-08) (age 63)
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
Notable awards Bocher Prize (1984)
Pontifical Academy of Sciences (1994)
Rolf Schock Prize (2005)
Leroy P. Steele Prize (2009)

Luis A. Caffarelli (born December 8, 1948) 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'École Normale Supérieure, Paris; Universidad Autónoma de Madrid, and Universidad de La Plata, Argentina. He received the Bôcher Memorial 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.[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]

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.

Bibliography

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

References

  1. ^ Caffarelli, Luis (1977), "The regularity of free boundaries in higher dimensions", Acta Mathematica 139: 155–184, http://www.springerlink.com/content/9181831h72503721/, retrieved 19 August 2010 
  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, doi:10.1002/cpa.3160350604 

External links

Logic and philosophy
Willard Van Orman Quine (1993) · Michael Dummett (1995) · Dana Scott (1997) · John Rawls (1999) · Saul Kripke (2001) · Solomon Feferman (2003) · Jaakko Hintikka (2005) · Thomas Nagel (2008)
Mathematics
Elias M. Stein (1993) · Andrew Wiles (1995) · Mikio Sato (1997) · Yuri I. Manin (1999) · Elliott H. Lieb (2001) · Richard P. Stanley (2003) · Luis Caffarelli (2005) · Endre Szemerédi (2008)
Musical arts
Ingvar Lidholm (1993) · György Ligeti (1995) · Jorma Panula (1997) · Kronos Quartet (1999) · Kaija Saariaho (2001) · Anne Sofie von Otter (2003) · Mauricio Kagel (2005) · Gidon Kremer (2008)
Visual arts
Rafael Moneo (1993) · Claes Oldenburg (1995) · Torsten Andersson (1997) · Herzog & de Meuron (1999) · Giuseppe Penone (2001) · Susan Rothenberg (2003) · SANAA / Kazuyo Sejima + Ryue Nishizawa (2005) · Mona Hatoum (2008)