I’m a PostDoc at GSSI and during my PhD I studied the effective description of universal
phenomena arising among many-particle quantum systems at low temperatures in three dimensions.
More precisely I am interested in the problem of properly defining zero-range Hamiltonians for
bosonic quantum systems, which are known to be energetically unstable in three dimensions. To
this end suitable many-body regularizations are required.
My projects are focused on the details of the spectral analysis of such regularized Hamiltonians
under physically reasonable choices of the regularization.