Caccioppoli Prize
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Caccioppoli Prize
The Caccioppoli Prize is awarded by the Italian Mathematical Union to an Italian mathematician not exceeding the age of 38 who established a wide international reputation. The prize is entitled to the memory of the Italian mathematician Renato Caccioppoli and is awarded on the occasion of the Italian Mathematical Union conference every four years. In its early stages the prize was awarded every two years. The recipient currently receives 10,000 euros. Further prizes of the Italian Mathematical Union are the Bartolozzi Prize, the Stampacchia Medal and the Vinti Prize. Prize winners SourceUnione Matematica ItalianaWinners and relative academic affiliations at the time of the awarding of the prize *1960 Ennio de Giorgi (Scuola Normale Superiore di Pisa) *1962 Edoardo Vesentini (University of Pisa) *1964 Emilio Gagliardo (University of Genova) *1966 Enrico Bombieri (University of Pisa) *1968 Mario Miranda (University of Pisa) *1970 Claudio Baiocchi (University of Pavia) *1974 Al ...
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Italian Mathematical Union
The Italian Mathematical Union ( it, Unione Matematica Italiana) is a mathematical society based in Italy. It was founded on December 7, 1922 by Luigi Bianchi, Vito Volterra, and most notably, Salvatore Pincherle, who became the Union's first President. History Salvatore Pincherle, professor at the University of Bologna, sent on 31 March 1922 a letter to all Italian mathematicians in which he planned the establishment of a national mathematical society. The creation was inspired by similar initiatives in other countries, such as the Société mathématique de France (1872), the Deutsche Mathematiker-Vereinigung (1891), the American Mathematical Society (1891) and, above all, the International Mathematical Union (1920). The most important italian mathematicians of the time - among all Luigi Bianchi and Vito Volterra - encouraged Pincherle's initiative also by personally sending articles for the future Bulletin; overall, about 180 mathematicians replied to Pincherle's letter. On D ...
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Antonio Ambrosetti
Antonio Ambrosetti (25 November 1944 – 20 November 2020) was an Italian mathematician who worked in the fields of partial differential equations and calculus of variations. Scientific activity Ambrosetti studied at the University of Padua and was professor of mathematics at the International School for Advanced Studies. He is known for his basic work on topological methods in the calculus of variations. These provide tools aimed at establishing the existence of solutions to variational problems when classical Direct method in the calculus of variations, direct methods of the calculus of variations cannot be applied. In particular, the so-called mountain pass theorem he established with Paul Rabinowitz is nowadays a classical tool in the context of nonlinear analysis problems. Recognition Ambrosetti has been awarded the Caccioppoli Prize, Caccioppoli prize in 1982, and the Amerio Prize by the Istituto Lombardo Accademia di Scienze e Lettere in 2008. Jointly with Andrea Malchiodi, ...
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University Of Zürich
The University of Zürich (UZH, german: Universität Zürich) is a public research university located in the city of Zürich, Switzerland. It is the largest university in Switzerland, with its 28,000 enrolled students. It was founded in 1833 from the existing colleges of theology, law, medicine which go back to 1525, and a new faculty of philosophy. Currently, the university has seven faculties: Philosophy, Human Medicine, Economic Sciences, Law, Mathematics and Natural Sciences, Theology and Veterinary Medicine. The university offers the widest range of subjects and courses of any Swiss higher education institution. History The University of Zurich was founded on April 29, 1833, when the existing colleges of theology, the ''Carolinum'' founded by Huldrych Zwingli in 1525, law and medicine were merged with a new faculty of Philosophy. It was the first university in Europe to be founded by the state rather than a monarch or church. In the university's early years, the 183 ...
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Camillo De Lellis (mathematician)
Camillo De Lellis (born 11 June 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. He is also one of the two managing editors of Inventiones Mathematicae. 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. Before this, he was a postdoctoral researcher at ETH Zurich and at the Max Planck Institute for Mathematics in the Sciences. He received his PhD 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 ...
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University Of Parma
The University of Parma ( it, Università degli Studi di Parma, UNIPR) is a public university in Parma, Emilia-Romagna, Italy. It is organised in nine departments. As of 2016 the University of Parma has about 26,000 students. History During the 13th-14th centuries there was an educational institution, ''studium'', in Parma, but it was closed in 1387 by Gian Galeazzo Visconti, Duke of Milan. The university was opened in 1412 by Niccolò III d'Este, and, although no papal bull was issued, the degrees were granted. In 1420 Filippo Maria Visconti closed it again. Although there were several attempts to revive the university, it functioned only as a "paper university", granting degrees without teaching. In 1601, the university was finally reopened by Ranuccio I Farnese, and the papal bill was given. It was a joint institution with a Society of Jesus, and a third of staff were teachers from a local Jesuit school, who taught in a separate building and by Jesuit curriculum. There were ...
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Giuseppe Mingione
Giuseppe Mingione (born 28 August 1972) is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations. Scientific activity Mingione received his Ph.D. in mathematics from the University of Naples Federico II in 1999 having Nicola Fusco as advisor; he is professor of mathematics at the University of Parma. He has mainly worked on regularity aspects of the Calculus of Variations, solving a few longstanding questions about the Hausdorff dimension of the singular sets of minimisers of vectorial integral functionals and the boundary singularities of solutions to Elliptic partial differential equation, nonlinear elliptic systems. This connects to the work of authors as Frederick J. Almgren, Jr., Almgren, Ennio de Giorgi, De Giorgi, Charles B. Morrey, Jr., Morrey, Enrico Giusti, Giusti, who proved theorems asserting regularity of solutions outside a singular set (i.e. a closed subset of Null set, null measure) both in geometric measur ...
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Andrea Malchiodi
Andrea Malchiodi (born September 30, 1972) is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations, with several contributions to geometric analysis. Scientific activity Malchiodi received his Ph.D. in mathematics from the International School for Advanced Studies in 2000 under the supervision of Antonio Ambrosetti. He is a professor of mathematics at the Scuola Normale Superiore at Pisa. He was previously professor of mathematics at the International School for Advanced Studies and at the University of Warwick. Malchiodi has developed topological and analytical methods allowing to deal with a number of questions in geometric analysis, such as the Yamabe problem, the scalar curvature problem, problems coming from fourth order conformal geometry and concentration for singular perturbation problems. In particular, he proved some new intricate forms of improved Moser- Trudinger inequalities allowing to prove existence r ...
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Giovanni Alberti (mathematician)
Giovanni Alberti (born March 21, 1965) is an Italian mathematician who is active in the fields of calculus of variations, real analysis and geometric measure theory. Scientific activity Alberti has studied at Scuola Normale Superiore under the guide of Giuseppe Buttazzo and Ennio De Giorgi; he is professor of mathematics at the University of Pisa. Alberti is mostly known for two remarkable theorems he proved at the beginning of his career, that eventually found applications in various branches of modern mathematical analysis. The first is a very general Lusin type theorem for gradients asserting that every Borel vector field can be realized as the gradient of a continuously differentiable function outside a closed subset of a priori prescribed (small) measure. The second asserts the rank-one property of the distributional derivatives of functions with bounded variation, thereby verifying a conjecture of De Giorgi. This theorem has found several applications, as for instance i ...
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Luigi Ambrosio
Luigi Ambrosio (born 27 January 1963) is a professor at Scuola Normale Superiore in Pisa, Italy. His main fields of research are the calculus of variations and geometric measure theory. Biography 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 th ...
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University Of Naples Federico II
The University of Naples Federico II ( it, Università degli Studi di Napoli Federico II) is a public university in Naples, Italy. Founded in 1224, it is the oldest public non-sectarian university in the world, and is now organized into 26 departments. It was Europe's first university dedicated to training secular administrative staff, and is one of the oldest academic institutions in continuous operation. Federico II is the third University in Italy by number of students enrolled, but despite its size it is still one of the best universities in Italy and the world, in southern Italy it leads 1st Ranking since it started, being particularly notable for research; in 2015 it was ranked among the top 100 universities in the world by citations per paper. The university is named after its founder Frederick II. In October 2016 the university hosted the first ever Apple IOS Developer Academy and in 2018 the Cisco Digital Transformation Lab. History The university of Naples Federico II ...
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Nicola Fusco
Nicola Fusco (born August 14, 1956 in Napoli) is an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equations, and the theory of symmetrization. He is currently professor at the Università di Napoli "Federico II". Fusco also taught and conducted research at the Australian National University at Canberra, the Carnegie Mellon University at Pittsburgh and at the University of Florence. He is the Managing Editor of the scientific journal ''Advances in Calculus of Variations'', and member of the editorial boards of various scientific journals. Awards Fusco won the 1994 edition of the Caccioppoli Prize of the Italian Mathematical Union, and, in 2010, the Tartufari Prize from the Accademia Nazionale dei Lincei. In 2008 he was an invited speaker at European Congress of Mathematics and in 2010 he was invited speaker at the International Congress of Mathematicians on the topic of "''Partial Di ...
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Gianni Dal Maso
Gianni Dal Maso (born 1954) is an Italian mathematician who is active in the fields of partial differential equations, calculus of variations and applied mathematics. Scientific activity Dal Maso studied at Scuola Normale Superiore under the guidance of Ennio De Giorgi and is professor of mathematics at the International School for Advanced Studies at Trieste, where he also serves as deputy director. Dal Maso has dealt with a number of questions related to partial differential equations and calculus of variations, covering a range of topics going from lower semicontinuity problems for multiple integrals to existence theorem for so called free discontinuity problems, from the study of asymptotic behaviour of variational problems via so called Γ-convergence methods to fine properties of solutions to obstacle problems. In the last years he has been considerably involved in the study of problems arising from applied mathematics, developing methods aimed at describing the evolution o ...
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