My research regards Computational Theoretical Physics. The main focus in on the non-perturbative properties of Quantum Field Theories, in particular the theory of strong interactions (QCD) and, more recently, discretized formulations of quantum gravity (QG). The open questions that I try to answer are the following: why are the elementary constituents of QCD, quarks and gluons, confined into hadrons? Is confinement a permanent state of matter, or extreme conditions may exist, described by different phases and reproduced in the early stages of the Universe, in compact astrophysical objects, or in heavy ion experiments? Do discretized theories of QG (Dynamical Triangulations) admit a continuum limit? My research tools are mostly numerical Monte-Carlo simulations requiring architectures at the frontier of parallel supercomputing; more recently, I started investigating the applicability of Quantum Computing in my and other research topics.
- Topological susceptibility of the 2D or O(3) nonlinear model: Is it divergent or not? 
- Localization properties of Dirac modes at the Roberge-Weiss phase transition 
- Phase diagram of QCD in a magnetic background 
- Quantum computing algorithms: getting closer to critical problems in computational biology 
- Topological susceptibility of Nf = 2 + 1 QCD from staggered fermions spectral projectors at high temperatures