Giovanni Catino

Giovanni Catino is a Full Professor at the Dipartimento di Matematica of Politecnico di Milano. His research focuses on Differential and Riemannian Geometry, Partial Differential Equations, and Geometric Analysis. He has authored numerous papers on topics such as Einstein manifolds, Ricci solitons, geometric flows, and curvature rigidity. Catino has also co-authored several textbooks, including volumes on calculus and geometric analysis. His work frequently intersects with geometric variational problems, nonlinear PDEs, and the study of canonical metrics in Riemannian geometry.

Recent research trends include investigations into Liouville-type theorems in sub-Riemannian settings, rigidity phenomena in geometric structures, and closure results in globally hyperbolic spacetimes. He actively participates in academic conferences and has organized events such as the 'Perspectives in Geometric Analysis' seminar series. Catino’s contributions span both pure mathematics and applications, with a strong emphasis on geometric PDEs and their implications in differential geometry.