I am mainly interested in these research topics:
* Topological and metric properties of spaces of group equivariant non-expansive operators (GENEOs).
* Topological Data Analysis (TDA) and Geometric Deep Learning.
* Topological and metric properties concerning topological spaces and manifolds endowed with real-valued or R^k-valued functions.
* Size functions, size homotopy groups, persistent homology. Multidimensional persistent homology. G-invariant persistent homology.
* Shape comparison.
* Pattern recognition.
See also
this link.
