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

Born | |

Alma mater | University of Buenos Aires |

Spouse | Irene M. Gamba^{[1]} |

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) Abel Prize (2023) |

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 |

Thesis | Sobre conjugación y sumabilidad de series de Jacobi (1971) |

Doctoral advisor | Calixto Calderón |

Doctoral students | Ovidiu Savin Guido De Philippis Eduardo V. Teixeira |

**Luis Angel Caffarelli** (born December 8, 1948) is an Argentine mathematician and is considered one of the world's leading experts in the field of partial differential equations and their applications.

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.^{[2]}^{[3]} 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.

Caffarelli received great recognition with his breakthrough paper "The regularity of free boundaries in higher dimensions" published in 1977 in *Acta Mathematica*.^{[4]} 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^{[when?]}, 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*, was obtained in 1982 in collaboration with Louis Nirenberg and Robert V. Kohn.^{[5]}

In 1991 he was elected to the U.S. National Academy of Sciences. He has been awarded honorary doctorates by the École Normale Supérieure, Paris, the University of Notre Dame, the Universidad Autónoma de Madrid, and the Universidad de La Plata, Argentina. He received the Bôcher Memorial Prize in 1984. Caffarelli is listed as an ISI highly cited researcher.^{[6]}

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.^{[citation needed]} In 2012 he was awarded the Wolf Prize in Mathematics (jointly with Michael Aschbacher) and became a fellow of the American Mathematical Society.^{[7]} In 2017 he gave the Łojasiewicz Lecture (on "Some models of segregation") at the Jagiellonian University in Kraków.^{[8]}

In 2018 he was named a SIAM Fellow^{[9]} and he received the Shaw Prize in Mathematics.^{[10]}

In 2023 he was awarded the Abel Prize "for his seminal contributions to regularity theory for nonlinear partial differential equations including free-boundary problems and the Monge–Ampère equation".^{[11]}^{[12]}