Valentino Magnani

Valentino Magnani is an Associate Professor in the Department of Mathematics at the University of Pisa, Italy. His research focuses on geometric analysis, sub-Riemannian geometry, and geometric measure theory, with an emphasis on topics such as area formulas, rectifiability, and the properties of measures in homogeneous groups. He has authored over 50 publications in prestigious journals like the Journal of Geometric Analysis, Advances in Mathematics, and Calculus of Variations and Partial Differential Equations.

His work explores the interplay between differential geometry and analysis in non-Euclidean settings, including studies on submanifolds, Sobolev spaces, and coarea formulas. Magnani has organized and spoken at numerous international conferences, such as the 'Three Days in Sub-Riemannian Geometry' and 'Geometric Measure Theory in Trento.' He also contributes to academic activities through teaching advanced courses on geometric analysis and metric spaces, including PhD-level lectures on topics like area theory in homogeneous groups.

Key research interests include the Michor-Mumford conjecture, symmetry properties in geometric structures, and the application of rough calculus to level sets in Heisenberg groups. His contributions have advanced understanding of measure-theoretic principles and geometric properties in stratified Lie groups and sub-Riemannian manifolds.