Giuseppe Mingione (born 28 August 1972) is an Italian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who is active in the fields of

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...

s and

calculus of variations The calculus of variations (or Variational Calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions t ...

Scientific activity

Mingione received his Ph.D. in mathematics from the University of Naples Federico II in 1999 having

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 ...

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 In mathematics, Hausdorff dimension is a measure of ''roughness'', or more specifically, fractal dimension, that was first introduced in 1918 by mathematician Felix Hausdorff. For instance, the Hausdorff dimension of a single point is zero, of a ...

of the singular sets of minimisers of vectorial integral functionals and the boundary singularities of solutions to nonlinear elliptic systems. This connects to the work of authors as Almgren, De Giorgi,

Morrey Morrey is a surname. Notable people with the name include: * Bernard Morrey (1927-2011), English footballer * Charles B. Morrey, Jr. (1907-1984), American mathematician *Humphrey Morrey Humphrey Morrey, or Murrey (–1716) was the first mayor ...

, Giusti, who proved theorems asserting regularity of solutions outside a singular set (i.e. a closed subset of null measure) both in geometric measure theory and for variational systems of partial differential equations. These are indeed called partial regularity results and one of the main issues is to establish whether the dimension of the singular set is strictly less than the ambient dimension. This question has found a positive answer for general integral functionals, thanks to the work of Kristensen and Mingione, who have also given explicit estimates for the dimension of the singular sets of minimisers. Subsequently, Mingione has worked on nonlinear

potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravi ...

obtaining potential estimates for solutions to nonlinear elliptic and parabolic equations. Such estimates allow to give a unified approach to the regularity theory of quasilinear, degenerate equations and relate to and upgrade previous work of Kilpeläinen, Malý, Trudinger,

Wang Wang may refer to: Names * Wang (surname) (王), a common Chinese surname * Wāng (汪), a less common Chinese surname * Titles in Chinese nobility * A title in Korean nobility * A title in Mongolian nobility Places * Wang River in Thailand ...

Recognition

Mingione was awarded the

Bartolozzi prize The Bartolozzi Prize is awarded by the Italian Mathematical Union every two years. Until 2017 it was awarded to an Italian mathematician below the age of 34. Starting with the 2019 edition, the prize is now reserved for female Italian mathematician ...

in 2005, the

Stampacchia medal The Stampacchia Gold Medal is an international prize awarded every three years by the Italian Mathematical Union (''Unione Matematica Italiana'' - ''UMI'' ) together with the Ettore Majorana Foundation (Erice), in recognition of outstanding contrib ...

in 2006 and the

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 Cacci ...

in 2010. In 2007 he was awarded an ERC grant. Mingione is listed as an

ISI highly cited researcher The Institute for Scientific Information (ISI) was an academic publishing service, founded by Eugene Garfield in Philadelphia in 1956. ISI offered scientometric and bibliographic database services. Its specialty was citation indexing and analysis, ...

and was invited to deliver the Nachdiplom Lectures in 2015 at

ETH (colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , ac ...

Zürich. He was invited speaker at the 2016

European Congress of Mathematics The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely betwee ...

in Berlin. In 2017 he was appointed Commander of the

Order of Merit of the Italian Republic The Order of Merit of the Italian Republic ( it, Ordine al Merito della Repubblica Italiana) is the senior Italian order of merit. It was established in 1951 by the second President of the Italian Republic, Luigi Einaudi. The highest-ranking ...

by the

President President most commonly refers to: *President (corporate title) *President (education), a leader of a college or university *President (government title) President may also refer to: Automobiles * Nissan President, a 1966–2010 Japanese ful ...

of the Italian Republic.

References

External links

Website

Site of European Research Council
{{DEFAULTSORT:Mingione, Giuseppe 1972 births Living people 21st-century Italian mathematicians PDE theorists Functional analysts Academic staff of the University of Parma People from Caserta Variational analysts Mathematical analysts European Research Council grantees University of Naples Federico II alumni