# Luis Caffarelli

**Luis Angel Caffarelli** (born December 8, 1948) is an Argentine mathematician and luminary in the field of partial differential equations and their applications.

Luis Caffarelli | |
---|---|

Born | |

Alma mater | University of Buenos Aires |

Awards | Bôcher Memorial Prize (1984) Pontifical Academy of Sciences (1994) Rolf Schock Prize (2005) Leroy P. Steele Prize (2009) Wolf Prize (2012) Shaw Prize (2018) |

Scientific career | |

Fields | Mathematics |

Institutions | University of Texas at Austin Institute for Advanced Study University of Chicago Courant Institute of Mathematical Sciences University of Minnesota |

Doctoral advisor | Calixto Calderón |

Doctoral students | Ovidiu Savin Guido De Philippis |

## Career

Caffarelli was born and grew up in Buenos Aires. He obtained his Masters of Science (1968) and Ph.D. (1972) at the University of Buenos Aires. His Ph.D. advisor was Calixto Calderón.[1][2] 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*.[3] 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.[4]

## 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; University of Notre Dame; 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.[5]

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.[6] In 2017 he gave the Łojasiewicz Lecture (on the "Some models of segregation ") at the Jagiellonian University in Kraków.[7]

In 2018 he was named a SIAM Fellow[8] and he received the Shaw Prize in Mathematics.[9]

## Bibliography

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

## References

- Elaine Kehoe . "Aschbacher and Caffarelli Awarded 2012 Wolf Prize",
*Notices of the AMS*, V. 60 N. 3. April 2013, pp. 474–475 - Juan Luis Vázquez . "Entrevista a Luis Caffarelli, Steele Prize de la American Mathematical Society 2009",
*La Gaceta de la RSME*, Vol. 12 (2009), N. 3, pp. 449–455 (in Spanish) - Caffarelli, Luis (1977), "The regularity of free boundaries in higher dimensions",
*Acta Mathematica*,**139**: 155–184, doi:10.1007/bf02392236 - 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**(6): 771–831, doi:10.1002/cpa.3160350604 - "List of ISI highly cited researchers".
- List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
- "S. Lojasiewicz Lecture 2018".
*www.im.uj.edu.pl*. Retrieved 2018-09-23. - "SIAM Announces Class of 2018 Fellows",
*SIAM News*, March 29, 2018 - Shaw Prize 2018