Luigi Ambrosio

Ambrosio entered the Scuola Normale Superiore di Pisa in 1981. He obtained his degree under the guidance of Ennio De Giorgi in 1985 at University of Pisa, and the Diploma at Scuola Normale. He obtained his PhD in 1988.

He is currently professor at the Scuola Normale, having taught previously at the University of Rome "Tor Vergata", the University of Pisa, and the University of Pavia. Ambrosio also taught and conducted research at the Massachusetts Institute of Technology, the ETH in Zurich, and the Max Planck Institute for Mathematics in the Sciences in Leipzig.

He is the Managing Editor of the scientific journal Calculus of Variations and Partial Differential Equations, and member of the editorial boards of scientific journals.

Since May 9, 2019 Ambrosio is the director of the Scuola Normale Superiore di Pisa.{{Cite web|url=https://normalenews.sns.it/luigi-ambrosio-e-il-nuovo-direttore-della-scuola-normale|title = Luigi Ambrosio è il nuovo Direttore della Scuola Normale | NormaleNews on the web}}

In 1998 Ambrosio won the Caccioppoli Prize of the Italian Mathematical Union.{{Cite web | url=http://umi.dm.unibo.it/caccioppoli/index-en.html | title=Caccioppoli Prize}} In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing and in 2003 he has been awarded with the Fermat Prize. From 2005 he is a corresponding member of Accademia Nazionale dei Lincei. Ambrosio is listed as an ISI highly cited researcher.{{Cite web|url=https://clarivate.com/highly-cited-researchers/|title=Highly Cited Researchers}} In 2018 he was a plenary speaker at the International Congress of Mathematicians in Rio de Janeiro. In 2019 he received the Balzan Prize in Mathematics (Theory of Partial Differential Equations).{{Cite web|url=https://www.balzan.org/en/prizewinners/luigi-ambrosio/|title=Luigi Ambrosio}} In 2024 he was awarded the Nemmers Prize in Mathematics.[https://www.nemmers.northwestern.edu/mathematics/ Nemmers Prize in Mathematics 2024]

• {{cite journal | last=Ambrosio | first=Luigi | title=A compactness theorem for a new class of functions of bounded variation. | journal=Bollettino dell'unione Matematica Italiana B | volume=3 | date=16 February 2015 | issn=0392-4041 | pages=857–881 | hdl=11384/1663 | url=https://hdl.handle.net/11384/1663 | language=it | access-date=22 November 2022}}
• {{cite book | last1=De Giorgi | first1=E. | last2=Ambrosio | first2=L. | title=Nonsmooth Optimization and Related Topics | chapter=New Functionals in Calculus of Variations | publisher=Springer US | publication-place=Boston, MA | year=1989 | isbn=978-1-4757-6021-7 | doi=10.1007/978-1-4757-6019-4_4}}
• {{cite journal | last=Ambrosio | first=L. | title=Existence theory for a new class of variational problems | journal=Archive for Rational Mechanics and Analysis | publisher=Springer Science and Business Media LLC | volume=111 | issue=4 | year=1990 | issn=0003-9527 | doi=10.1007/bf00376024 | pages=291–322| bibcode=1990ArRMA.111..291A | hdl=1721.1/3106 | s2cid=10494974 | hdl-access=free }}
• {{cite book | last1=Ambrosio | first1=Luigi | last2=Fusco | first2=Nicola | last3=Pallara | first3=Diego | title=Functions of bounded variation and free discontinuity problems | publisher=Clarendon Press | publication-place=Oxford | date=2000 | isbn=0-19-850245-1 | oclc=42295898}}
• {{cite journal | last1=Ambrosio | first1=Luigi | last2=Kirchheim | first2=Bernd | title=Currents in metric spaces | journal=Acta Mathematica | publisher=International Press of Boston | volume=185 | issue=1 | year=2000 | issn=0001-5962 | doi=10.1007/bf02392711 | pages=1–80| s2cid=15755603 | doi-access=free }}
• {{cite book | last1=Ambrosio | first1=Luigi | last2=Gigli | first2=Nicola | last3=Savaré | first3=Giuseppe | title=Gradient flows : in metric spaces and in the space of probability measures | publisher=Birkhäuser | publication-place=Boston | date=2005 | isbn=3-7643-2428-7 | oclc=228393801}}
• {{cite book| url=https://books.google.com/books?id=QK-jK3MpfYAC&q=Luigi+Ambrosio| title=Calculus of variations and partial differential equations|editor=Luigi Ambrosio|editor2=Edward Norman Dancer|editor3=Giuseppe Buttazzo|editor4=A. Marino|editor5=M. K. Venkatesha Murthy| publisher=Springer| year= 2000| isbn= 978-3-540-64803-1}}
• {{cite book | last1=Ambrosio | first1=Luigi | last2=Mascolo | first2=Elvira | last3=Dacorogna | first3=Bernard | last4=Marcellini | first4=Paolo | author5=Centro internazionale matematico estivo | title=Calculus of variations and nonlinear partial differential equations : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27-July 2, 2005 | publisher=Springer | publication-place=Berlin | date=2008 | isbn=978-3-540-75913-3 | oclc=233973622}}

{{reflist}}

• [http://umi.dm.unibo.it/caccioppoli/index-en.html Site of Caccioppoli Prize] {{Webarchive|url=https://web.archive.org/web/20190514091912/http://umi.dm.unibo.it/caccioppoli/index-en.html |date=2019-05-14 }}
• {{MathGenealogy|id=92265}}

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Category:20th-century Italian mathematicians

Category:21st-century Italian mathematicians

Category:Living people

Category:1963 births

Category:People from Alba, Piedmont

Category:Variational analysts

Category:Academic staff of the Scuola Normale Superiore di Pisa