Luca Capogna


My research is in the area of Partial Differential Equations. I am also interested in Calculus of Variations and in  analytic aspects of  Quasiconformal Mappings, Sub-Riemannian Geometry,  Minimal Surfaces and Mean Curvature Flow.

My work is partially supported by the National Science Foundation award DMS 1101478 “Topics in Quasiconformal Mappings and in PDE” and DMS 0800522 “Topics in Nonlinear Subelliptic Partial Differential Equations”.

I am the lead project director for the US component of an international outreach program supported by the US Department of Education (jointly with the European Commission)

through the ATLANTIS FIPSE program award  P116J090052 . The program supports and manages transoceanic mobility of Mathematics graduate students and faculty from three US institutions (University of Arkansas, University of Pittsburgh and Temple University) and four European institutions (Universita’ di Bologna, Universidad Autonoma de Madrid, Universite’ de Rennes, Universite’ Paris Diderot - Paris 7).

Professor and Department Head,

Department of Mathematical Sciences,

Worcester Polytechnic Institute