|Institutional Office Address
DMIF, Room NN1, Phone: +39 0432 558440
|Research Project Title
Coarse Geometry with applications to groups and entropy
|Research Project Description
I’m a first year PhD student in Mathematics. My field of research is coarse geometry, which is the study of large scale properties of spaces. My main interests are in a categorical systematization of categories of coarse spaces (namely, the one of coarse spaces and bornologous maps and its quotient category under closeness relation) and in applications of coarse geometry both to geometric group theory and to geometric topology. As for the categorical approach, following previous works, some properties of those categories will be studied, as well as the connections with some categories of spaces which generalizes coarse spaces. Moreover, I’m investigating the category of coarse groups. Finally, I’m developing some aspects of coarse dynamics, namely entropy, in order to build connections with the established theory in the realm of topological spaces and groups.
For further information, visit my web page on ResearchGate.