  We report on a study of interaction effects in the tunneling
density-of-states of a disordered two-dimensional electron gas in the strong
magnetic field limit where only the lowest Landau level is occupied.
Interactions in the presence of disorder are accounted for by performing
finite-size self-consistent Hartree-Fock calculations. We find evidence for the
formation of a pseudo-gap with a tunneling density-of-states which vanishes at
the Fermi energy.
