Camillo De Lellis | |
|---|---|
De Lellis inOberwolfach 2010 | |
| Born | (1976-06-11)11 June 1976 (age 49) San Benedetto del Tronto, Italy |
| Nationality | Italian |
| Alma mater | Scuola Normale Superiore |
| Awards | Stampacchia Medal (2009),Fermat Prize (2013),Caccioppoli Prize (2014),Maryam Mirzakhani Prize in Mathematics (2022) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Institute for Advanced Study University of Zurich Max Planck Institute for Mathematics in the Sciences |
| Doctoral advisor | Luigi 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.
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.
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]
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]