Andrea Malchiodi (born September 30, 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, mathematical structure, structure, space, Mathematica ...

who is active in the fields of

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...

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 Function (mathematics), functions and functional (mathematics), functionals, to find maxima and minima of f ...

, with several contributions to

geometric analysis Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of ...

Scientific activity

Malchiodi received his Ph.D. in mathematics from the

International School for Advanced Studies The International School for Advanced Studies (Italian: ''Scuola Internazionale Superiore di Studi Avanzati''; SISSA) is an international, state-supported, post-graduate-education and research institute in Trieste, Italy. SISSA is active in th ...

in 2000 under the supervision of Antonio Ambrosetti. He is a professor of mathematics at the

Scuola Normale Superiore The Scuola Normale Superiore (commonly known in Italy as "la Normale") is a public university in Pisa and Florence, Tuscany, Italy, currently attended by about 600 undergraduate and postgraduate (PhD) students. Together with the University of Pi ...

at Pisa. He was previously professor of mathematics at the

and at the

University of Warwick The University of Warwick ( ; abbreviated as ''Warw.'' in post-nominal letters) is a public research university on the outskirts of Coventry between the West Midlands and Warwickshire, England. The university was founded in 1965 as part of ...

. Malchiodi has developed topological and analytical methods allowing to deal with a number of questions in geometric analysis, such as the

Yamabe problem The Yamabe problem refers to a conjecture in the mathematical field of differential geometry, which was resolved in the 1980s. It is a statement about the scalar curvature of Riemannian manifolds: By computing a formula for how the scalar curvatur ...

, the

scalar curvature In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To each point on a Riemannian manifold, it assigns a single real number determined by the geometry ...

problem, problems coming from fourth order

conformal geometry In mathematics, conformal geometry is the study of the set of angle-preserving ( conformal) transformations on a space. In a real two dimensional space, conformal geometry is precisely the geometry of Riemann surfaces. In space higher than two di ...

and concentration for singular perturbation problems. In particular, he proved some new intricate forms of improved Moser- Trudinger inequalities allowing to prove existence results for singular

Liouville Joseph Liouville ( ; ; 24 March 1809 – 8 September 1882) was a French mathematician and engineer. Life and work He was born in Saint-Omer in France on 24 March 1809. His parents were Claude-Joseph Liouville (an army officer) and Thérès ...

equations. Similar types of inequalities allow to prove existence results for Toda systems on surfaces. Malchiodi has been visiting professor in many universities and institutions, amongst which are

Stanford University Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...

, The Institute for Advanced Study at Princeton, and

ETH Eth ( , uppercase: ⟨Ð⟩, lowercase: ⟨ð⟩; also spelled edh or eð), known as in Old English, is a letter used in Old English, Middle English, Icelandic, Faroese (in which it is called ), and Elfdalian. It was also used in Sca ...

at Zurich. He belongs to the editorial board of several mathematical journals and is one of the managing editors of the journal Calculus of Variations & PDE.

Recognition

Malchiodi was awarded 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 Cacc ...

in 2006. In 2005 he was awarded, jointly with Antonio Ambrosetti, the

Ferran Sunyer i Balaguer Ferran Sunyer i Balaguer (6 February 1912 – 27 December 1967) was a Spanish mathematician who is the namesake of the Ferran Sunyer i Balaguer Prize The Ferran Sunyer i Balaguer Prize is a prize in mathematics, first awarded in 1993. It ho ...

prize. Malchiodi was included in the list of invited speakers at the 2014

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...

in Seoul.Sectional invited speakers at the 2014 International Congress of Mathematicians

References

External links

Malchiodi's site at the Scuola Normale Superiore
{{DEFAULTSORT:Malchiodi, Andrea 1972 births Living people 21st-century Italian mathematicians Alumni of the University of Warwick People from Piacenza