  We present Monte Carlo calculations of the thermodynamics of the (2+1)
dimensional Thirring model at finite density. We bypass the sign problem by
deforming the domain of integration of the path integral into complex space in
such a way as to maximize the average sign within a parameterized family of
manifolds. We present results for lattice sizes up to $10^3$ and we find that
at high densities and/or temperatures the chiral condensate is abruptly
reduced.
