Lattice perturbation theory (collaboration with G.Marchesini, F.Direnzo, G.Burgio, L.Scorzato) This is a long standing project with some partial relevant results in the field of pure gauge SU(3): the main achievement has been the calculation of the perturbative expansion of the plaquette to the tenth order in a . The program is still in progress with applications to the problem of renormalons. See also http://www.pr.infn.it./infn/preprints/ape100/talk.html
Numerical Relativity: in collaboration with G.Veneziano and J.Maharana): the solution of Einsteins's equation for the gravitational field coupled to a scalar (dilaton) can be attempted by a numerical analysis. This project has already achieved some success (see xxx.lanl.gov/abs/gr-qc/9802001 or http://www.pr.infn.it/preprints/preprints.html ). The numerical code (matlab) used in the paper can be found here . Further developments are under study with F. Di Renzo, R. Depietri and M.Rossi. The idea is to study the problem in full 3-D implmenting a Cactus thorne.
I always kept an eye on Geometric Quantization, and now and then come back to some of its subtle problems. These are the most recent contributions: Landau Levels on a Torus:
can be downloaded from in Celestial
mechanics with matlab (in tar.gz format, 0.7MB)
(warning: requires matlabr11 (v.5.3) or higher 6.0, 6.1) or, if you prefer, you can browse the directory and download single files.