RESEARCH
I am interested in the interaction between real algebraic geometry and smooth analysis, in particular in Sard-type theorems for maps defined on infinite dimensional spaces. I am also interested in some aspects of infinite dimensional Riemannian geometry.
Publications
Publications
A remark on vanishing geodesic distances in infinite dimensions. (with V. Magnani)
Proc. Amer. Math. Soc. (2020), arxiv (2019)
On the Michor-Mumford phenomenon in the infinite dimensional Heisenberg group. (with V. Magnani)
Rev. Mat. Complut. (2022), arxiv (2021)
The Michor-Mumford conjecture in Hilbertian H-type groups. (with V. Magnani)
Sard theorems for polynomial maps in infinite dimensions. (with A. Lerario and L. Rizzi)
Preprint