I work at the dipartimento di ingegneria dell’informazione e scienze matematiche of the university of Siena as a tenure track researcher (rtt).
My research is in descriptive set theory, infinite combinatorics and applications to topology, analysis, model theory, graph theory, computability and theoretical computer science.
A typical problem of descriptive combinatorics is under which circumstances you can colour a graph with few colours such that no adjacent vertices are assigned the same colour. We study this problem in the context of graphs of a specified complexity such as open, closed or Borel as a subset of the plane. The study of such graphs led Todorcevic to devise the open colouring axiom. We aim to understand graphs and hypergraphs of finite and infinite dimension on large spaces that appear naturally in set theory and model theory.