  In the Fractional Quantum Hall Effect (FQHE), in the noninteracting limit,
only a fraction $\nu $ of the Lowest Landau Level (LLL) is occupied, producing
a huge degeneracy. Interactions lift this degeneracy and mix in higher LL's. In
the limit in which we ignore all but the LLL (i.e., let the inverse electron
mass ${1 \over m}\to \infty$), the kinetic energy is an irrelevant constant and
the ratio of potential to kinetic energy is essentially infinite, making this
the most strongly correlated problem imaginable. I give a telegraphic review of
the Hamiltonian Theory of the FQHE developed with Ganpathy Murthy that deals
with this problem with some success. A nodding acquaintance with FQHE physics
is presumed.
