Nicola Gigli

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Nicola Gigli

Nicola Gigli (born September 6, 1979 ) is an Italian mathematician who deals with analysis.

Gigli obtained his mathematics diploma at the University of Pisa in 2001 and received his doctorate in 2008 from the Scuola Normale Superiore in Pisa with Luigi Ambrosio ( On the geometry of the space of probability measures endowed with the quadratic optimal transport distance ). As a post-doc he was at the University of Bordeaux and at the Institute for Applied Mathematics at the University of Bonn with Felix Otto . Since 2010 he has been researching at the University of Nice with a French Chaire d'Excellence grant. From 2005 to 2008 he was with McKinsey .

He dealt with the existence and uniqueness of gradient flows in metric spaces , the structure of Wasserstein spaces (where a metric named after Leonid Wasserstein (Leonid Vaseršteĭn) is defined between probability distributions in metric spaces that gives it properties similar to Riemannian manifolds from differential geometry) and the investigation of the heat flow in general metric spaces , following on from work by Cédric Villani and John Lott on metric spaces with a Ricci curvature limited from below .

In 2010 he received the Oberwolfach Prize with László Székelyhidi .

Fonts

  • with Luigi Ambrosio, Giuseppe Savaré: Gradient flows in metric spaces and in spaces of probability measures , Birkhäuser 2005, 2nd edition 2008
  • Measure Theory in Non-Smooth Spaces , De Gruyter 2017

Web links