  We report on recent results on the spectral statistics of the discrete
Anderson model in the localized phase. Our results show, in particular, that,
for the discrete Anderson Hamiltonian with smoothly distributed random
potential at sufficiently large coupling, the limit of the level spacing
distribution is that of i.i.d. random variables distributed according to the
density of states of the random Hamiltonian. This text is a contribution to the
proceedings of the conference "Spectra of Random Operators and Related Topics"
held at Kyoto University, 02-04/12/09 organized by N. Minami and N. Ueki.
