  We discuss some recent results on the statistics of the Coulomb Blockade in
disordered quantum dots containing spinless interacting fermions using the
self-consistent Hartree-Fock approximation. We concentrate on the regime r_s
>~1, with finite dimensionless conductance g. We present significantly
different results for the cases of a Coulomb and a nearest-neighbour bare
interaction. We show that neglecting rearrangements when the particle number is
changed (Koopmans' approximation) can lead to large errors, and show how the
spectral statistics of the self-consistent single particle orbitals evolve with
the interaction strength.
