Ph.D in Mathematics, University of Pennsylvania. 2012
Ma in Mathematics, Università degli Studi, Torino. 2008
Ba in Mathematics for Engineering, Politecnico, Torino. 2006
Analysis and Partial Differential Equations, Differential Geometry, Topology
Differential Geometry, Topology and differential/ Riemannian geometry
My work in is topology, and Riemannian Geometry. My research interests focus on the interplay between the topology of Riemannian manifolds, and the geometric structures one can find on them. More precisely, I am interested in isometric group actions on Riemannian manifolds, singular Riemannian foliations (which generalize the concept of isometric action), and in special submanifolds such as closed geodesics and minimal hypersurfaces.
More recently, I have been interested in Classical (and in part, Geometric) Invariant Theory, with the aim of extending these results to the more general setup of singular Riemannian foliations.
- Radeschi, Wilking, "On the Berger conjecture for manifolds all of whose geodesics are closed". Invent. Math. 210 (2017), no. 3, 911–962.
- Alexandrino, Radeschi, "Closure of singular foliations: the proof of Molino's conjecture". Compos. Math. 153 (2017),no. 12, 2577–2590.
- Alexandrino, Radeschi, "Mean curvature flow of singular Riemannian foliations". J. Geom. Anal. 26 (2016), no. 3, 2204–2220.
- Ge, Radeschi, "Differentiable classification of 4-manifolds with singular Riemannian foliations". Math. Ann. 363 (2015), no. 1-2, 525–548.
- Radeschi, "Clifford algebras and new singular Riemannian foliations in spheres". Geom. Funct. Anal. 24 (2014), no. 5, 1660–1682.