Roberto Monti

Roberto Monti is a Full Professor at the University of Padua, specializing in geometric analysis, sub-Riemannian geometry, and calculus of variations. His research focuses on topics such as isoperimetric problems, optimal control theory, and the geometry of Carnot-Carathéodory spaces. Monti has contributed extensively to understanding geodesic properties, minimal surfaces, and functional inequalities in non-Euclidean settings.

Education: PhD in Mathematics (2001), with a thesis on 'Surface measures in Carnot-Carathéodory spaces.'

Research interests include geometric measure theory, PDEs on manifolds, and applications of control theory to geometric problems. Recent work addresses mean value formulas on Grushin spaces and higher-order optimality conditions in singular systems.

Monti has organized conferences such as the Three days in Sub-Riemannian geometry (2025) and presented at international workshops on geometric measure theory and singular geometries. His work bridges pure mathematics with applications in control systems and geometric optimization.