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.

Andrea Malchiodi
Born (1972-09-30) 30 September 1972
Piacenza, Italy
NationalityItalian
Alma materInternational School for Advanced Studies
AwardsCaccioppoli Prize (2006)
Scientific career
FieldsMathematics
InstitutionsScuola Normale Superiore
Doctoral advisorAntonio Ambrosetti
Doctoral studentsSerena Dipierro

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.[1][2][3] In particular, he proved some new intricate forms of improved Moser-Trudinger inequalities allowing to prove existence results for singular Liouville equations.[4] Similar types of inequalities allow to prove existence results for Toda systems on surfaces.[5] Malchiodi has been visiting professor in many universities and institutions, amongst which are Stanford University, The Institute for Advanced Study at Princeton, and ETH 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.[6]

Recognition

Malchiodi was awarded the Caccioppoli prize in 2006. In 2005 he was awarded, jointly with Antonio Ambrosetti, the Ferran Sunyer i Balaguer prize.[7] Malchiodi was included in the list of invited speakers at the 2014 International Congress of Mathematicians in Seoul.[8]

References
  1. "Caccioppoli prize citation". Italian Mathematical Union. Archived from the original on October 11, 2017. Retrieved May 5, 2013.
  2. "Existence of conformal metrics with constant Q-curvature". Annals of Mathematics. Retrieved June 12, 2013.
  3. Malchiodi, Andrea; Struwe, Michael (2006). "Q-curvature flow on S4". Journal of Differential Geometry. 73: 1–44. doi:10.4310/jdg/1146680511. Retrieved June 12, 2013.
  4. Malchiodi, Andrea; Ruiz, David (2011). "New Improved Moser–Trudinger Inequalities and Singular Liouville Equations on Compact Surfaces". Geometric and Functional Analysis. 21 (5): 1196–1217. arXiv:1007.3861. doi:10.1007/s00039-011-0134-7. S2CID 119317846.
  5. Malchiodi, Andrea; Ruiz, David (2013). "A Variational Analysis of the Toda System on Compact Surfaces". Communications on Pure and Applied Mathematics. 66 (3): 332–371. arXiv:1105.3701. doi:10.1002/cpa.21433. S2CID 119633018.
  6. "Calculus of Variations & PDE". Retrieved January 19, 2014.
  7. "Ferran Sunyer i Balaguer prize". Archived from the original on July 2, 2007. Retrieved May 5, 2013.
  8. Sectional invited speakers at the 2014 International Congress of Mathematicians Archived 2013-07-18 at the Wayback Machine
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