Ivan Yuri Violo

Ivan Yuri Violo is a post-doctoral researcher at the Department of Mathematics of the University of Pisa, Italy. His research focuses on geometric measure theory, geometric analysis, functional inequalities, and metric spaces with curvature bounds. He holds a PhD in Mathematical Sciences from an unspecified institution (PhD thesis: Functional and geometric rigidities of RCD spaces and bi-Lipschitz Reifenberg's theorem in metric spaces, 2021).

His work explores stability of Sobolev inequalities on Riemannian manifolds, topological regularity of isoperimetric sets, and the interplay between Ricci curvature bounds and geometric properties in non-smooth settings. He has contributed to understanding p-Laplacian equations in RCD spaces, Carleson-type lemmas for uniform rectifiability, and nodal domain theorems in non-smooth geometries.

Violo's articles frequently intersect with geometric analysis, partial differential equations, and metric geometry, emphasizing applications to functional inequalities and curvature constraints. He maintains a homepage with further details and is reachable at ivan.violo@sns.it.