Andrea Malchiodi

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Andrea Malchiodi (born September 30, 1972 in Piacenza ) is an Italian mathematician .

Malchiodi obtained his bachelor's degree in physics from the University of Milan in 1996 (On the stability of spheres with respect to the variation of mean curvature) and received his doctorate in 2000 from SISSA in Trieste with Antonio Ambrosetti (Existence and multiplicity results for some problems in Riemannian Geometry ). As a post-doctoral student he was a Fulbright Fellow at Rutgers University and from 2001 to 2003 at the Institute for Advanced Study . In 2003 he taught at the University of Salerno and was a visiting researcher at the ETH Zurich and in 2004 he became assistant professor and in 2006 professor at SISSA. From 2013 he was a professor at the University of Warwick .

Among other things, he was visiting professor at Stanford and Princeton.

He deals with nonlinear analysis, calculus of variations, partial differential equations and differential geometry.

In 2006 he received the Caccioppoli Prize and in 2005 the Carlo Miranda Prize. In the laudation for the Caccioppoli Prize, the following were highlighted:

  • Work on the Yamabe problem and the problem of given scalar curvature
  • Problems in conformal geometry for 4th order operators (proof of the existence of conformal metrics of constant Q-curvature on compact four-dimensional manifolds)
  • Concentration phenomena for singular perturbation problems (concentration of the solution on sets of positive dimensions)
  • Soliton waves for nonlinear Schrödinger operators and related semiclassical states

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (Liouville equations from a variational point of view).

Since 2007 he has been editor of Calculus of Variations and Partial Differential Equations .

Fonts

  • with Antonio Ambrosetti : Perturbation Methods and Semilinear Elliptic Problems on (= Progress in Mathematics. 240). Birkhäuser, Basel et al. 2005, ISBN 3-7643-7321-0 (received the Ferran-Sunyer-i-Balaguer Prize in 2005 ).
  • with Antonio Ambrosetti: Nonlinear Analysis and Semilinear Elliptic Problems (= Cambridge Studies in Advanced Mathematics. 104). Cambridge University Press, Cambridge et al. 2007, ISBN 978-0-52186320-9 .
  • with Zindine Djadli: Existence of conformal metrics with constant -curvature. In: Annals of Mathematics . Volume 168, No. 3, 2008, pp. 813-858, JSTOR 40345429 .
  • with Michael Struwe : -curvature flow on . In: Journal of Differential Geometry . Volume 73, No. 1, 2006, 1-44, ( online ).
  • Conformal metrics with constant curvature. In: Proceedings of the 2007 Midwest Geometry Conference in Honor of Thomas P. Branson. ( arxiv ).
  • with David Ruiz: New Improved Moser-Trudinger Inequalities and Singular Liouville Equations on Compact Surfaces. In: Geometric and Functional Analysis. Volume 21, 2011, pp. 1196-1217, doi : 10.1007 / s00039-011-0134-7 .
  • with David Ruiz: A Variational Analysis of the Toda System on Compact Surfaces. In: Communications on Pure and Applied Mathematics. Volume 66, No. 3, 2013, 332–371, doi : 10.1002 / cpa.21433 .

Web links

Individual evidence

  1. ↑ Acknowledgment of the Caccioppoli Prize 2006
personal data
SURNAME Malchiodi, Andrea
BRIEF DESCRIPTION Italian mathematician
DATE OF BIRTH September 30, 1972
PLACE OF BIRTH Piacenza