Geometric analysis on Carnot groups

• regularity of subRiemannian distances in Carnot groups
• apriori estimates for complexes of differential forms in Carnot groups
• geometric measure theory in Carnot groups
• optimal transport in Carnot groups

External Collaborators:

Bruno Franchi, Pierre Pansu, Zoltán Balogh, Raul Serapioni, Marco Marchi, Francesca Corni, Francesco Serra Cassano, Maria Manfredini, Kevin Wildrick, Manuel Ritoré, Irina Markina, Gianmarco Giovannardi.