Giovanni Alberti, Frobenius theorem for nonsmooth surfaces

Andrea Braides, Beyond the classical Cauchy-Born rule 

Yann Brenier, On the apparent non-convexity of several generalizations of optimal transport

Giuseppe Buttazzo, Antagonistic cost functionals in shape optimization

Xavier Cabré, Stable solutions to semilinear elliptic equations are smooth up to dimension 9 

Piermarco Cannarsa, Singularities of solutions to Hamilton-Jacobi equations: from PDE’s to topology, passing through geometric measure theory 

Gianni Dal Maso, Homogenisation of free discontinuity problems

Guido De Philippis, Min-Max construction of anisotropic minimal surfaces

Alessio Figalli, Free boundary regularity for the obstacle problem 

Irene Fonseca, Phase separation in heterogeneous media

Massimo Fornasier, Wassertein Sobolev spaces: numerics and deep learning over P_2

Nicola Fusco, Local and global minimizers for a capillarity type problem

Adriana Garroni, Variational approach for grain boundaries

Nicola Gigli, Hyperbolic nonsmooth calculus

Shouhei Honda, Singular Weyl's law with Ricci curvature bounded below

Carlo Mantegazza, The Riemannian Penrose inequality via nonlinear potential theory 

Simon Masnou, Numerical approximation of mean curvature flows using neural networks

Andrea Mondino, Timelike Ricci bounds and Einstein's theory of gravity in a non smooth setting: an optimal transport approach

Diego Pallara, Mean value formulas for degenerate parabolic equations 

Giuseppe Savaré, Evolution of probability measures: beyond gradient flows

Francesco Serra Cassano, Sobolev regularity of flows associated to vector fields with exponential or sub-exponential summability 

Dario Trevisan, Concave Random Assignment Problem in One Dimension: Kantorovich Meets Young