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Camillo De Lellis

From Wikipedia, the free encyclopedia

Italian mathematician
Not to be confused with the Italian priest,Camillus de Lellis.
Camillo De Lellis
De Lellis inOberwolfach 2010
Born (1976-06-11)11 June 1976 (age 49)
NationalityItalian
Alma materScuola Normale Superiore
AwardsStampacchia Medal (2009),Fermat Prize (2013),Caccioppoli Prize (2014),Maryam Mirzakhani Prize in Mathematics (2022)
Scientific career
FieldsMathematics
InstitutionsInstitute for Advanced Study
University of Zurich
Max Planck Institute for Mathematics in the Sciences
Doctoral advisorLuigi Ambrosio

Camillo De Lellis (born 11 June 1976) is an Italian mathematician who is active in the fields ofcalculus of variations,hyperbolic systems of conservation laws,geometric measure theory andfluid dynamics. He is a permanent faculty member in the School of Mathematics at theInstitute for Advanced Study.[1] He was also one of the two managing editors ofInventiones Mathematicae.

Biography

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Prior joining the faculty of theInstitute for Advanced Study, De Lellis was a professor of mathematics at theUniversity of Zurich from 2004 to 2018.[2][3] Before this, he was a postdoctoral researcher atETH Zurich and at theMax Planck Institute for Mathematics in the Sciences.[4] He received his PhD in mathematics from theScuola Normale Superiore atPisa, under the guidance ofLuigi Ambrosio in 2002.

Scientific activity

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De Lellis has given a number of remarkable contributions in different fields related topartial differential equations. Ingeometric measure theory he has been interested in the study of regularity and singularities of minimising hypersurfaces, pursuing a program aimed at disclosing new aspects of the theory started byAlmgren in his"Big regularity paper".[5][6]There Almgren proved his famousregularity theorem asserting that the singular set of anm-dimensional mass-minimizing surface has dimension at most m − 2. De Lellis has also worked on various aspects of the theory of hyperbolic systems of conservation laws and of incompressible fluid dynamics. In particular, together withLászló Székelyhidi Jr., he has introduced the use of convex integration[7] methods anddifferential inclusions to analyse non-uniqueness issues for weak solutions to theEuler equation.[8]

Recognition

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De Lellis has been awarded theStampacchia Medal in 2009, theFermat Prize in 2013 and theCaccioppoli Prize in 2014.[9] He has beeninvited speaker at the International Congress of Mathematicians in 2010 and plenary speaker at theEuropean Congress of Mathematics in 2012.[10] In 2012 he has also been awarded aEuropean Research Council grant.[11] In 2020 he has been awarded theBôcher Memorial Prize.[12][13] In 2021 he became a member of theGerman Academy of Sciences Leopoldina.[14] He has also been included in the list of invited plenary speakers of the 2022International Congress of Mathematicians, inSaint Petersburg.[15] In 2022 he was awarded theMaryam Mirzakhani Prize in Mathematics from theNAS.[16]

References

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  1. ^"Camillo De Lellis".Institute for Advanced Study. Retrieved7 August 2019.
  2. ^"Camillo De Lellis".Institute for Advanced Study. Retrieved7 August 2019.
  3. ^"Mathematician Camillo De Lellis Appointed to the Faculty of the Institute for Advanced Study". 22 January 2018. Retrieved3 April 2018.
  4. ^"Camillo De Lellis".Institute for Advanced Study. Retrieved7 August 2019.
  5. ^Almgren's Big Regularity Paper. World Scientific Monograph Series in Mathematics. Vol. 1. World Scientific. 2000.doi:10.1142/4253.ISBN 978-981-02-4108-7.
  6. ^De Lellis, Camillo; Spadaro, Emanuele Nunzio (2011).𝑄-valued functions revisited. Memoirs of the American Mathematical Society. Vol. 211.arXiv:0803.0060.doi:10.1090/S0065-9266-10-00607-1.
  7. ^"Convex Integration". Encyclopedia of Mathematics. Retrieved10 May 2013.
  8. ^"The Euler equations as a differential inclusion". Annals of Mathematics. Retrieved10 May 2013.
  9. ^"Fermat Prize 2013"(PDF). Société Mathématique de France. Retrieved29 July 2014.
  10. ^"European Congress of Mathematics 2012". Retrieved10 May 2013.
  11. ^"ERC starting grants 2012"(PDF). European Research Council. Archived fromthe original(PDF) on 2 December 2013. Retrieved10 May 2013.
  12. ^"Camillo De Lellis, Lawrence Guth, and Laure Saint-Raymond Will Each Receive the 2020 Bôcher Memorial Prize". American Mathematical Society. Retrieved25 April 2022.
  13. ^"2020 Bôcher Memorial Prize"(PDF),Notices of the American Mathematical Society,67 (4):546–549, April 2020.
  14. ^"Camillo De Lellis". German Academy of Sciences Leopoldina. Retrieved26 May 2021.
  15. ^"ICM Plenary speakers". Archived fromthe original on 21 January 2022. Retrieved16 October 2021.
  16. ^Maryam Mirzakhani Prize in Mathematics 2022

External links

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