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|name = Luis Caffarelli |name = Luis Caffarelli
|image = Caffarelli en el Predio del CONICET Santa Fe.jpg |image = Caffarelli en el Predio del CONICET Santa Fe.jpg
|image_size = |image_size = 250
|caption = Caffarelli in 2014<ref>{{cite web |url=https://santafe.conicet.gov.ar/luis-caffarelli-la-matematica-y-su-historia-con-santa-fe/ |title=Luis Caffarelli, la matemática y su historia con Santa Fe}}</ref>
|caption =
|birth_date = {{birth date and age|1948|12|08|mf=y}} |birth_name = Luis Ángel Caffarelli
|birth_date = {{birth date and age|1948|12|8}}
|birth_place = ], ] |birth_place = ], ]
|death_date = |death_date =
|death_place = |death_place =
|education = {{nobr|] (], ])}}
|nationality =
⚫ |spouse = ]<ref>{{cite web |last=Chang |first=Kenneth |date=2023-03-22 |title=Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature |url=https://www.nytimes.com/2023/03/22/science/abel-prize-math-luis-caffarelli.html |newspaper=]}}</ref>
⚫ |awards = ] (1984)<br>{{nobr|] (1994)}}<br>] (2005)<br>] (2009)<br>] (2012)<br>] (2018)<br>] (2023)
|fields = ] |fields = ]
|workplaces = ]<br>]<br>]<br>]<br>] |workplaces = ]<br>]<br>]<br>]<br>]
|thesis_title = Sobre Conjugación y Sumabilidad<br/>de Series de Jacobi<br/>(On Conjugation and Summability<br/>of the Jacobi Series)
|alma_mater = ]
⚫ |thesis_url = https://bibliotecadigital.exactas.uba.ar/download/tesis/tesis_n1430_Caffarelli.pdf
⚫ |doctoral_advisor = ]
⚫ |thesis_year = 1971
|thesis_title=Sobre conjugación y sumabilidad de series de Jacobi
⚫ |doctoral_advisor = Calixto Calderón
⚫ |thesis_url=https://bibliotecadigital.exactas.uba.ar/download/tesis/tesis_n1430_Caffarelli.pdf
⚫ |doctoral_students = ]<br>]<br>]<br>]
⚫ |thesis_year=1971
⚫ |doctoral_students = ]<br>]<br>]
|known_for =
⚫ |awards = ] (1984) <br>] (1994)<br>] (2005)<br>] (2009) <br> ] (2012) <br> ] (2018) <br> ] (2023)
⚫ |spouse = ]<ref>{{cite news |last=Chang |first=Kenneth |date=2023-03-22 |title=Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature |url=https://www.nytimes.com/2023/03/22/science/abel-prize-math-luis-caffarelli.html |newspaper=]}}</ref>
}} }}
'''Luis Ángel Caffarelli''' ({{IPA|es|ˈlwis anˈxel kaffaˈɾeʎi}}; born December 8, 1948) is an ]<ref>{{cite web |last=Caffarelli |first=Luis Ángel |title=Curriculum Vitae |url=https://web.ma.utexas.edu/users/caffarel/2021-caffarelli-cv.pdf}}</ref> ]. He studies ] and their applications. Caffarelli is a professor of mathematics at the ], and the winner of the 2023 ].<ref>{{Cite web |date=2024-05-22 |title=Mathematics' Highest Prize Awarded to UT Professor from Argentina |url=https://global.utexas.edu/news/mathematics-highest-prize-awarded-ut-professor-argentina |access-date=2024-05-23 |website=global.utexas.edu |language=en}}</ref>
'''Luis Angel Caffarelli''' (born December 8, 1948) is an ] ] and is considered one of the world's leading experts in the field of ] and their applications.


==Career== ==Career==
Caffarelli was born and grew up in ]. He obtained his Masters of Science (1968) and Ph.D. (1972) at the ]. His Ph.D. advisor was ].<ref></ref><ref> {{Webarchive|url=https://web.archive.org/web/20160304091502/http://historiamatematicachilena.bligoo.com/media/users/3/178983/files/17495/Caffarelli.pdf |date=2016-03-04 }} (in Spanish)</ref> He currently holds the Sid Richardson Chair at the ]. He also has been a professor at the ], the ], and the ] at ]. From 1986 to 1996 he was a professor at the ] in Princeton. Caffarelli was born and grew up in ]. He obtained his Masters of Science (1968) and Ph.D. (1972) at the ]. His Ph.D. advisor was ].<ref></ref><ref> {{Webarchive|url=https://web.archive.org/web/20160304091502/http://historiamatematicachilena.bligoo.com/media/users/3/178983/files/17495/Caffarelli.pdf |date=2016-03-04 }} (in Spanish)</ref> He currently holds the Sid Richardson Chair at the ] and is core faculty at the ].<ref>{{cite web|title="Luis A. Caffarelli|url=https://oden.utexas.edu/people/directory/Luis%20A.%20Caffarelli/}}</ref> He also has been a professor at the ], the ], and the ] at ]. From 1986 to 1996 he was a professor at the ] in Princeton.


==Research==
==Important results==
⚫ Caffarelli published "The regularity of free boundaries in higher dimensions" in 1977 in '']''.<ref>{{Citation| last=Caffarelli| first=Luis| title=The regularity of free boundaries in higher dimensions| journal=Acta Mathematica| volume=139| pages=155–184| year=1977| doi=10.1007/bf02392236| doi-access=free}}</ref> One of his most cited results regards the ''Partial regularity of suitable weak solutions of the ]''; it was obtained in 1982 in collaboration with ] and ].<ref>{{Citation| last1=Caffarelli| first1=Luis| last2=Kohn| first2=Robert| last3=Nirenberg| first3=Louis| title=Partial regularity of suitable weak solutions of the navier-stokes equations| journal=Communications on Pure and Applied Mathematics| volume=35| issue=6| pages=771–831| year=1982| doi=10.1002/cpa.3160350604}}</ref>

Caffarelli received great recognition with his breakthrough paper "The regularity of free boundaries in higher dimensions" published in 1977 in '']''.<ref>{{Citation | last = Caffarelli | first = Luis| title = The regularity of free boundaries in higher dimensions | journal = Acta Mathematica | volume = 139 | pages = 155–184 | year = 1977 | doi=10.1007/bf02392236| doi-access = free }}</ref> Since then, he has been considered one of the world's leading experts in ]s and ]s. He developed several regularity results for fully nonlinear elliptic equations including the ]. He is also famous for his contributions to ]. Recently{{when|date=March 2023}}, he has taken an interest in ]s.

⚫ One of his most cited and celebrated results regards the ''Partial regularity of suitable weak solutions of the ]'', was obtained in 1982 in collaboration with ] and ].<ref>{{Citation | last1 = Caffarelli | first1 = Luis| last2 = Kohn | first2 = Robert | last3 = Nirenberg | first3 = Louis | title = Partial regularity of suitable weak solutions of the navier-stokes equations | journal = Communications on Pure and Applied Mathematics | volume = 35 | issue = 6| pages = 771–831 | year = 1982 | doi =10.1002/cpa.3160350604}}</ref>


==Awards and recognition== ==Awards and recognition==
In 1991 he was elected to the U.S. ]. He has been awarded ] by the ], Paris, the ], the ], and the ], Argentina. He received the ] in 1984. Caffarelli is listed as an ].<ref>{{cite web|title=List of ISI highly cited researchers|url=http://highlycited.com}}</ref> In 1991 he was elected to the U.S. ]. He was awarded ] by the ], Paris, the ], the ], and the ], Argentina. He received the ] in 1984. He is listed as an ].<ref>{{cite web|title=List of ISI highly cited researchers|url=http://highlycited.com}}</ref>


In 2003 ] from Argentina granted him the Diamond ], 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 ] of the ] "for his important contributions to the theory of nonlinear partial differential equations". He also received the ] for Lifetime Achievement in Mathematics in 2009.{{Cn|date=March 2023}} In 2012 he was awarded the ] (jointly with ]) and became a fellow of the ].<ref>, retrieved 2012-11-10.</ref> In 2017 he gave the ] (on "Some models of segregation") at the ].<ref>{{Cite web|url=http://www.im.uj.edu.pl/en_GB/lojasiewicz/2018|title=S. Lojasiewicz Lecture 2018|website=www.im.uj.edu.pl|access-date=2018-09-23}}</ref> In 2003 ] from Argentina granted him the Diamond ], 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 ] of the ] "for his important contributions to the theory of nonlinear partial differential equations". He also received the ] for Lifetime Achievement in Mathematics in 2009.<ref>{{cite web |title=2009 Steele Prizes |url=https://www.ams.org/journals/notices/200904/rtx090400488p.pdf |issn=1088-9477 |access-date=2024-01-15}}</ref> In 2012 he was awarded the ] (jointly with ]) and became a fellow of the ].<ref>, retrieved 2012-11-10.</ref> In 2017 he gave the ] (on "Some models of segregation") at the ].<ref>{{Cite web|url=http://www.im.uj.edu.pl/en_GB/lojasiewicz/2018|title=S. Lojasiewicz Lecture 2018|website=www.im.uj.edu.pl|access-date=2018-09-23}}</ref>


In 2018 he was named a ]<ref>{{citation|url=https://sinews.siam.org/Details-Page/siam-announces-class-of-2018-fellows|title=SIAM Announces Class of 2018 Fellows|magazine=SIAM News|date=March 29, 2018}}</ref> and he received the ] in Mathematics.<ref>{{Cite web |url=http://www.shawprize.org/en/shaw.php?tmp=3&twoid=106 |title=Shaw Prize 2018 |access-date=2018-05-14 |archive-date=2018-09-02 |archive-url=https://web.archive.org/web/20180902023627/http://www.shawprize.org/en/shaw.php?tmp=3&twoid=106 |url-status=dead }}</ref> In 2018, he was named a ]<ref>{{citation|url=https://sinews.siam.org/Details-Page/siam-announces-class-of-2018-fellows|title=SIAM Announces Class of 2018 Fellows|magazine=SIAM News|date=March 29, 2018}}</ref> and he received the ] in Mathematics.<ref>{{Cite web |url=http://www.shawprize.org/en/shaw.php?tmp=3&twoid=106 |title=Shaw Prize 2018 |access-date=2018-05-14 |archive-date=2018-09-02 |archive-url=https://web.archive.org/web/20180902023627/http://www.shawprize.org/en/shaw.php?tmp=3&twoid=106 |url-status=dead }}</ref>


In 2023 he was awarded the ] "for his seminal contributions to regularity theory for nonlinear partial differential equations including free-boundary problems and the Monge–Ampère equation".<ref name="Abel-2023">{{cite web |url=https://abelprize.no/citation/citation-luis-caffarelli |title=Prize winner 2022 |publisher=The Norwegian Academy of Science and Letters|access-date=22 March 2023}}</ref><ref>{{cite web |last1=De Ambrosio |first1=Martín |url=https://www.lanacion.com.ar/sociedad/a-nivel-de-los-grandes-del-siglo-luis-cafarelli-el-messi-de-la-matematica-que-gano-el-equivalente-al-nid22032023/ |title=A nivel de los grandes del siglo: Luis Caffarelli, el Messi de la matemática que ganó el equivalente al Nobel de la disciplina |website=LA NACION |date=22 March 2023 |publisher=LA NACION |access-date=22 March 2023}}</ref> In 2023, he was awarded the ] "for his seminal contributions to ] for nonlinear partial differential equations including free-boundary problems and the ]".<ref>{{cite web |url=https://abelprize.no/citation/citation-luis-caffarelli |title=Prize winner 2023 |publisher=The Norwegian Academy of Science and Letters|access-date=22 March 2023}}</ref><ref>{{cite web |last1=De Ambrosio |first1=Martín |url=https://www.lanacion.com.ar/sociedad/a-nivel-de-los-grandes-del-siglo-luis-cafarelli-el-messi-de-la-matematica-que-gano-el-equivalente-al-nid22032023/ |title=A nivel de los grandes del siglo: Luis Caffarelli, el Messi de la matemática que ganó el equivalente al Nobel de la disciplina |website=LA NACION |date=22 March 2023 |access-date=22 March 2023}}</ref><ref>{{Cite journal |url=https://www.nature.com/articles/d41586-023-00833-4 |title=Abel Prize: Pioneer of 'Smooth' Physics Wins Top Maths Award |year=2023 |doi=10.1038/d41586-023-00833-4 |accessdate=2023-03-30 |last1=Castelvecchi |first1=Davide |journal=Nature |volume=615 |issue=7954 |page=777 |pmid=36949131 |bibcode=2023Natur.615..777C |s2cid=257695618 }} Nature Vol.615 No.7954, 30 March 2023, News p777</ref>


==Bibliography== ==Bibliography==
In addition to over two hundred articles in refereed academic journals, Caffarelli has coauthored two books: Caffarelli has coauthored two books:
#''Fully Nonlinear Elliptic Equations'' by Luis Caffarelli and Xavier Cabré (1995), American Mathematical Society. {{isbn|0-8218-0437-5}} #''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}} #''A Geometric Approach to Free Boundary Problems'' by Luis Caffarelli and Sandro Salsa (2005), American Mathematical Society. {{isbn|0-8218-3784-2}}
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Latest revision as of 22:04, 21 November 2024

Argentine mathematician For others with this surname, see Caffarelli.
Luis Caffarelli
Caffarelli in 2014
BornLuis Ángel Caffarelli
(1948-12-08) December 8, 1948 (age 76)
Buenos Aires, Argentina
EducationUniversity of Buenos Aires (MS, PhD)
SpouseIrene M. Gamba
AwardsBôcher 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
FieldsMathematics
InstitutionsUniversity of Texas at Austin
Institute for Advanced Study
University of Chicago
CIMS
University of Minnesota
ThesisSobre Conjugación y Sumabilidad
de Series de Jacobi
(On Conjugation and Summability
of the Jacobi Series) (1971)
Doctoral advisorCalixto Calderón
Doctoral studentsGuido De Philippis
Ovidiu Savin
Luis Silvestre
Eduardo V. Teixeira

Luis Ángel Caffarelli (Spanish pronunciation: [ˈlwis anˈxel kaffaˈɾeʎi]; born December 8, 1948) is an Argentine-American mathematician. He studies partial differential equations and their applications. Caffarelli is a professor of mathematics at the University of Texas at Austin, and the winner of the 2023 Abel Prize.

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. He currently holds the Sid Richardson Chair at the University of Texas at Austin and is core faculty at the Oden Institute for Computational Engineering and Sciences. 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 published "The regularity of free boundaries in higher dimensions" in 1977 in Acta Mathematica. 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.

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.

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

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

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".

Bibliography

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. "Luis Caffarelli, la matemática y su historia con Santa Fe".
  2. Chang, Kenneth (2023-03-22). "Abel Prize Goes to Mathematician Who Studied Equations That Describe Nature". The New York Times.
  3. Caffarelli, Luis Ángel. "Curriculum Vitae" (PDF).
  4. "Mathematics' Highest Prize Awarded to UT Professor from Argentina". global.utexas.edu. 2024-05-22. Retrieved 2024-05-23.
  5. Elaine Kehoe. "Aschbacher and Caffarelli Awarded 2012 Wolf Prize", Notices of the AMS, V. 60 N. 3. April 2013, pp. 474–475
  6. 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)
  7. ""Luis A. Caffarelli".
  8. Caffarelli, Luis (1977), "The regularity of free boundaries in higher dimensions", Acta Mathematica, 139: 155–184, doi:10.1007/bf02392236
  9. 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
  10. "List of ISI highly cited researchers".
  11. "2009 Steele Prizes" (PDF). ISSN 1088-9477. Retrieved 2024-01-15.
  12. List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
  13. "S. Lojasiewicz Lecture 2018". www.im.uj.edu.pl. Retrieved 2018-09-23.
  14. "SIAM Announces Class of 2018 Fellows", SIAM News, March 29, 2018
  15. "Shaw Prize 2018". Archived from the original on 2018-09-02. Retrieved 2018-05-14.
  16. "Prize winner 2023". The Norwegian Academy of Science and Letters. Retrieved 22 March 2023.
  17. 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. Retrieved 22 March 2023.
  18. 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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