Current position: Associate
Professor in Mathematical Logic at the Department of Mathematics,
University of Padua.
Previous
employments:
- 2012-2016: Ricercatore
Universitario (Assistant Professor) in Mathematical
Logic at the Department of Mathematics, University of Padua.
- 2011-2012: research fellow
in Mathematical Logic at the Department of Mathematics,
University of Padua.
- 2007-2011: research fellow
in Mathematical Logic and Mathematical Education at the
Department of Mathematics and Applications, University of
Palermo.
Education:
- 2007 - Ph. D. in Mathematics, University of Palermo (here is my Ph.D. thesis);
- 2003 - Degree ("Laurea") cum
laude in Mathematics, University of Palermo.
Research interests:
My research area is
Constructive
Mathematics, that is, Mathematics developed on the
basis of intuitionistic logic and, often, by means of
predicative methods. In particular, I am interested in
constructive Topology and in intuitionistic algebra.
I have studied the notion of "overlap algebra" (introduced by
Sambin), an intuitionistic algebraization of the structures of
subsets in which also the notion of being inhabited is taken
as primitive. I have obtained several results linking overlap
algebras with Formal Topology,
a constructive approach to (point-free) topology.
Also I have
applied such theories (overlap algebra and formal topology) to
semantical issues in intuitionistic logic, as well as in other
non-classical logics.
Publications:
here.