Camillo De Lellis

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.{{Cite web|url=https://www.ias.edu/scholars/de-lellis|title=Camillo De Lellis|website=Institute for Advanced Study|language=en|access-date=7 August 2019}}{{cite web|title=Mathematician Camillo De Lellis Appointed to the Faculty of the Institute for Advanced Study|date=22 January 2018|url=https://www.ias.edu/news/2017/delellis-appointment|accessdate=3 April 2018}} Before this, he was a postdoctoral researcher at ETH Zurich and at the Max Planck Institute for Mathematics in the Sciences.{{Cite web|url=https://www.ias.edu/scholars/de-lellis|title=Camillo De Lellis|website=Institute for Advanced Study|language=en|access-date=7 August 2019}} He received his PhD in mathematics from the Scuola Normale Superiore at Pisa, under the guidance of Luigi Ambrosio in 2002.

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 hypersurfaces, pursuing a program aimed at disclosing new aspects of the theory started by Almgren in his "Big regularity paper".{{cite book|title=Almgren's Big Regularity Paper|volume=1|publisher=World Scientific|doi=10.1142/4253|isbn=978-981-02-4108-7|series=World Scientific Monograph Series in Mathematics|year=2000}}{{cite book|title=𝑄-valued functions revisited|url=https://www.ams.org/books/memo/0991/|series=Memoirs of the American Mathematical Society|arxiv=0803.0060|year=2011|first1=Camillo|last1=De Lellis|first2=Emanuele Nunzio|last2=Spadaro|volume=211 |issue=991 |doi=10.1090/S0065-9266-10-00607-1 }}

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{{cite web|title=Convex Integration|url=http://www.encyclopediaofmath.org/index.php/Convex_integration|publisher=Encyclopedia of Mathematics|accessdate=10 May 2013}} methods and differential inclusions to analyse non-uniqueness issues for weak solutions to the Euler equation.{{cite web|title=The Euler equations as a differential inclusion|url=http://annals.math.princeton.edu/2009/170-3/p09|publisher=Annals of Mathematics|accessdate=10 May 2013}}

De Lellis has been awarded the Stampacchia Medal in 2009, the Fermat Prize in 2013 and the Caccioppoli Prize in 2014.{{cite web|title=Fermat Prize 2013|url=http://smf4.emath.fr/en/Publications/Gazette/2014/141/smf_gazette_141_113-118.pdf|publisher=Société Mathématique de France|accessdate=29 July 2014}} He has been invited speaker at the International Congress of Mathematicians in 2010 and plenary speaker at the European Congress of Mathematics in 2012.{{cite web|title=European Congress of Mathematics 2012|url=http://www.6ecm.pl//|accessdate=10 May 2013}} In 2012 he has also been awarded a European Research Council grant.{{cite web|title=ERC starting grants 2012|url=http://www.kowi.de/Portaldata/2/Resources/fp7/erc/FP7-ERC-StG-2012-results-all-domains.pdf|archive-url=https://web.archive.org/web/20131202230444/http://www.kowi.de/Portaldata/2/Resources/fp7/erc/FP7-ERC-StG-2012-results-all-domains.pdf|url-status=dead|archive-date=2 December 2013|publisher=European Research Council|accessdate=10 May 2013}} In 2020 he has been awarded the Bôcher Memorial Prize.{{cite web|title=Camillo De Lellis, Lawrence Guth, and Laure Saint-Raymond Will Each Receive the 2020 Bôcher Memorial Prize|url=https://www.ams.org/tools/news?news_id=5616|publisher=American Mathematical Society|accessdate=25 April 2022}}{{citation|title=2020 Bôcher Memorial Prize|date=April 2020 |journal=Notices of the American Mathematical Society|url=https://www.ams.org/journals/notices/202004/rnoti-p546.pdf |pages=546–549|volume=67|issue=4}}. In 2021 he became a member of the German Academy of Sciences Leopoldina.{{cite web |title= Camillo De Lellis|url=https://www.leopoldina.org/mitglieder/mitgliederverzeichnis/mitglieder/member/Member/show/camillo-de-lellis/|publisher=German Academy of Sciences Leopoldina |access-date=26 May 2021}} He has also been included in the list of invited plenary speakers of the 2022 International Congress of Mathematicians, in Saint Petersburg.{{Cite web|url=https://icm2022.org/plenary-lectures|title=ICM Plenary speakers|access-date=16 October 2021|archive-date=21 January 2022|archive-url=https://web.archive.org/web/20220121174012/https://icm2022.org/plenary-lectures|url-status=dead}} In 2022 he was awarded the Maryam Mirzakhani Prize in Mathematics from the NAS.[http://www.nasonline.org/programs/awards/2022-awards/De-Lellis.html Maryam Mirzakhani Prize in Mathematics 2022]

{{reflist}}

• [http://user.math.uzh.ch/delellis/ Site at the University of Zurich]
• [https://web.archive.org/web/20130514123522/http://www.6ecm.pl/ Site of the European Congress of Mathematics in 2012]
• [http://erc.europa.eu/ Site of the European Research Council]

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Category:1976 births

Category:Living people

Category:21st-century Italian mathematicians

Category:Variational analysts

Category:European Research Council grantees

Category:Academic staff of the University of Zurich

Category:Institute for Advanced Study faculty

Category:Members of the German National Academy of Sciences Leopoldina