Nicola Fusco is an Italian mathematician
mainly known for his contributions to the fields of calculus of variations

Calculus of variations

Calculus of variations is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite integrals involving unknown...

, regularity theory of partial differential equation

Partial differential equation

In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...

s, and the theory of symmetrization

Symmetrization

In mathematics, symmetrization is a process that converts any function in n variables to a symmetric function in n variables.Conversely, anti-symmetrization converts any function in n variables into an antisymmetric function.-2 variables:...

. He is currently professor at the Università di Napoli "Federico II"

University of Naples Federico II

The University of Naples Federico II is a university located in Naples, Italy. It was founded in 1224 and is organized into 13 faculties. It is the world's oldest state university and one of the oldest academic institutions in continuous operation...

. Fusco also taught and conducted research at the Australian National University

Australian National University

The Australian National University is a teaching and research university located in the Australian capital, Canberra.As of 2009, the ANU employs 3,945 administrative staff who teach approximately 10,000 undergraduates, and 7,500 postgraduate students...

 at Canberra, the Carnegie Mellon University

Carnegie Mellon University

Carnegie Mellon University is a private research university in Pittsburgh, Pennsylvania, United States....

 at Pittsburgh and at the University of Florence

University of Florence

The University of Florence is a higher study institute in Florence, central Italy. One of the largest and oldest universities in the country, it consists of 12 faculties...

.

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

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...

 of the Italian Mathematical Union

Italian Mathematical Union

The Italian Mathematical Union is a mathematics 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...

, and, in 2010, the Tartufari Prize from the Accademia Nazionale dei Lincei

Accademia dei Lincei

The Accademia dei Lincei, , is an Italian science academy, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy....

. In 2008 he was an invited speaker at European Congress of Mathematics

European Congress of Mathematics

The European Congress of Mathematics is an international congress of the mathematics community, held every four years. Its objectives are "to present various new aspects of pure and applied mathematics to a wide audience, to be a forum for discussion of the relationship between mathematics and...

 and in 2010 he was invited speaker at the International Congress of Mathematicians

International Congress of Mathematicians

The International Congress of Mathematicians is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union ....

. From 2010 he is a corresponding member of Accademia Nazionale dei Lincei

Accademia dei Lincei

The Accademia dei Lincei, , is an Italian science academy, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy....

.

Selected publications

• Acerbi, E.; Fusco, N. "Semicontinuity problems in the Calculus of Variations" Archive for Rational Mechanics and Analysis 86 (1984)
• Brezis, H.; Fusco, N.; Sbordone, C. "Integrability for the Jacobian of orientation preserving mappings" Journal of Functional Analysis 115 (1993)
• Fusco, N.; Lions, P.L.; Sbordone, C. "Sobolev imbedding theorems in borderline cases" Proceeding of the American Mathematical Society 124 (1996)
• Ambrosio, L.; Fusco, N.; Pallara, D. "Partial regularity of free discontinuity sets" Annali della Scuola Normale Superiore di Pisa Classe di Scienze (2) 24 (1997)
• Fonseca, I.; Fusco, N. "Regularity results for anisotropic image segmentation models" Annali della Scuola Normale Superiore di Pisa Classe di Scienze (2) 24 (1997)
• Ambrosio, L.; Fusco, N.; Pallara, D. Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York (2000).
• Chlebik, M.; Cianchi, A.; Fusco, N. "The perimeter inequality under Steiner symmetrization: cases of equality" Annals of Mathematics (2) 162 (2005)
• Fusco, N.; Maggi, F.; Pratelli, A. "The sharp quantitave isoperimetric inequality" Annals of Mathematics (2) 168 (2008)