  We report results of simulations of the $2+1d$ Thirring model with $N$
fermion flavors, defined on a lattice using domain wall fermions. This approach
is devised to respect as far as possible the underlying U($2N$) symmetry of the
continuum model, expected to be recovered in the limit wall separation
$L_s\to\infty$. For $N=1$ there is a symmetry-breaking phase transition
associated with bilinear condensation at strong fermion self-interaction, which
is a plausible location for a quantum critical point. Fits to a renormalisation
group-inspired equation of state yield critical exponents distinct from those
obtained using a version of the model defined using staggered fermions.
