Luis Ángel Caffarelli (Spanish pronunciation: [ˈlwis anˈxel kaffaˈɾeʎi]; born December 8, 1948) is an Argentine–American[2] mathematician. He studies partial differential equations and their applications.

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.[3][4] 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.

Research

Caffarelli received recognition with "The regularity of free boundaries in higher dimensions" published in 1977 in Acta Mathematica.[5] He is considered an expert in free boundary problems and nonlinear partial differential equations. He proved several regularity results for fully nonlinear elliptic equations including the Monge-Ampere equation, and also contributed to homogenization.[further explanation needed] He is also interested in integro-differential equations.

One of his most cited results regards the Partial regularity of suitable weak solutions of the Navier–Stokes equations; it was obtained in 1982 in collaboration with Louis Nirenberg and Robert V. Kohn.[6]

Awards and recognition

In 1991 he was elected to the U.S. National Academy of Sciences. He was 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. He is listed as an ISI highly cited researcher.[7]

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.[8] In 2017 he gave the Łojasiewicz Lecture (on "Some models of segregation") at the Jagiellonian University in Kraków.[9]

In 2018, he was named a SIAM Fellow[10] and he received the Shaw Prize in Mathematics.[11]

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".[12][13][14]

Bibliography

Caffarelli has coauthored two books:

Fully Nonlinear Elliptic Equations by Luis Caffarelli and Xavier Cabré (1995), American Mathematical Society. ISBN 0-8218-0437-5

A Geometric Approach to Free Boundary Problems by Luis Caffarelli and Sandro Salsa (2005), American Mathematical Society. ISBN 0-8218-3784-2

References

Chang, Kenneth (2023-03-22). "Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature". The New York Times.

Caffarelli, Luis Ángel. "CURRICULUM VITAE" (PDF).

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 Archived 2016-03-04 at the Wayback Machine (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". Archived from the original on 2018-09-02. Retrieved 2018-05-14.

"Prize winner 2023". The Norwegian Academy of Science and Letters. Retrieved 22 March 2023.

De Ambrosio, Martín (22 March 2023). "A nivel de los grandes del siglo: Luis Caffarelli, el Messi de la matemática que ganó el equivalente al Nobel de la disciplina". LA NACION. LA NACION. Retrieved 22 March 2023.

Castelvecchi, Davide (2023). "Abel Prize: Pioneer of 'Smooth' Physics Wins Top Maths Award". Nature. 615 (7954): 777. Bibcode:2023Natur.615..777C. doi:10.1038/d41586-023-00833-4. PMID 36949131. S2CID 257695618. Retrieved 2023-03-30. Nature Vol.615 No.7954, 30 March 2023, News p777

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