Camillo De Lellis

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

Not to be confused with the Italian priest, Camillus de Lellis.
Camillo De Lellis
Born (1976-06-11) 11 June 1976
San Benedetto del Tronto, Italy
NationalityItalian
Alma materScuola Normale Superiore
AwardsStampacchia Medal (2009), Fermat Prize (2013), Caccioppoli Prize (2014)
Scientific career
FieldsMathematics
InstitutionsInstitute for Advanced Study
University of Zurich
Doctoral advisorLuigi Ambrosio

Biography

Prior joining the faculty of the Institute for Advanced Study, De Lellis was a professor of mathematics at the University of Zurich from 2004 to 2018.[2][3] He received his Ph.D. in mathematics from the Scuola Normale Superiore at Pisa, under the guidance of Luigi Ambrosio in 2002.

Scientific activity

De Lellis has given a number of remarkable contributions in different fields related to partial differential equations. In geometric measure theory he has been interested in the study of regularity and singularities of minimising hypersufaces, pursuing a program aimed at disclosing new aspects of the theory started by Almgren in his "Big regularity paper".[4][5] There Almgren proved his famous regularity theorem asserting that the singular set of an m-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 with László Székelyhidi Jr., he has introduced the use of convex integration[6] methods and differential inclusions to analyse non-uniqueness issues for weak solutions to the Euler equation.[7]

Recognition

De Lellis has been awarded the Stampacchia Medal in 2009, the Fermat Prize in 2013 and the Caccioppoli Prize in 2014.[8] He has been invited speaker at the International Congress of Mathematicians in 2010 and plenary speaker at the European Congress of Mathematics in 2012.[9] In 2012 he has also been awarded a European Research Council grant.[10]

References
  1. "Camillo De Lellis". Institute for Advanced Study. Retrieved 2019-08-07.
  2. "Camillo De Lellis". Institute for Advanced Study. Retrieved 2019-08-07.
  3. "Mathematician Camillo De Lellis Appointed to the Faculty of the Institute for Advanced Study". Retrieved April 3, 2018.
  4. Almgren's Big Regularity Paper. World Scientific Monograph Series in Mathematics. 1. World Scientific. 2000. doi:10.1142/4253. ISBN 978-981-02-4108-7.
  5. "Q-valued functions revisited". Memoirs of the American Mathematical Society. Retrieved May 10, 2013.
  6. "Convex Integration". Encyclopedia of Mathematics. Retrieved May 10, 2013.
  7. "The Euler equations as a differential inclusion". Annals of Mathematics. Retrieved May 10, 2013.
  8. "Fermat Prize 2013" (PDF). Société Mathématique de France. Retrieved July 29, 2014.
  9. "European Congress of Mathematics 2012". Retrieved May 10, 2013.
  10. "ERC starting grants 2012" (PDF). European Research Council. Retrieved May 10, 2013.
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