Guido De Philippis

Guido De Philippis, Oberwolfach 2011

Guido De Philippis (born August 16, 1985 in Fiesole near Florence ) is an Italian mathematician. He deals with the calculus of variations , partial differential equations and geometric measurement theory.

Life

Guido De Philippis studied mathematics at the University of Florence with a diploma in 2009 with Emanuele Paolini and received his doctorate in 2012 from the Scuola Normale Superiore in Pisa with Luigi Ambrosio and Luis Caffarelli ( Regularity of optimal transport maps and applications ). As a post-doctoral student he was at the Hausdorff Center for Mathematics in Bonn in 2013 , at the University of Zurich in 2014 and in 2015 as a Chargé de Recherche of the CNRS at the École normal supérieure de Lyon . In 2016 he became an assistant professor at SISSA in Trieste .

He deals with geometric variation problems, for example with optimal transport , the plateau problem , Mumford-Shah optimization in image processing , the Monge-Ampere equations and problems of optimal shape. He worked with Alessio Figalli , among others .

In 2016 he received the EMS Prize and in 2014 the Carlo Miranda Prize. For 2018 he was awarded the Stampacchia Medal of the Unione Matematica Italiana .

with Alessio Figalli : The Monge-Ampère equation and its link to optimal transportation. In: Bulletin of the American Mathematical Society . Volume 51, No. 4, 2014, pp. 527-580, doi : 10.1090 / S0273-0979-2014-01459-4 .
with Alessio Figalli: Partial regularity results in optimal transportation. In: Vincenzo Ancona, Elisabetta Strickland (ed.): Trends in contemporary mathematics (= Springer INdAM Series. 8). Springer International, Cham 2014, ISBN 978-3-319-05253-3 , pp. 293-307, doi : 10.1007 / 978-3-319-05254-0_21 .
Regularity of optimal transport maps and applications (= Scuola Normale Superiore. Tesi. = Scuola Normale Superiore. Theses. 17). Edizione della Normale et al., Pisa et al. 2013, ISBN 978-88-7642-456-4 (Pisa, Scuola Normale Superiore, dissertation, November 2, 2012).