The Thirring model in 2+1$d$ with $N$ Dirac flavors can exhibit spontaneous
U($2N)\to$U($N)\otimes$U($N$) breaking through fermion - antifermion condensation in the limit $m\to0$. With no small parameter in play the symmetry-breaking dynamics is
strongly-interacting and quantitative work requires a fermion formulation
accurately capturing global symmetries. We present simulation results for $N=1$
obtained with Wilson kernel domain wall fermions on $16^3\times L_s$, with
$L_s=24,\ldots,120$. The $L_s\to\infty$ extrapolation
of the bilinear condensate $\langle\bar\psi\psi\rangle$ as a function of
coupling and bare mass is fitted to an empirical equation of state; the
resulting critical exponents are significantly altered from previously obtained
values, and for the first time resemble those emerging from analytic predictions
based on approximate solutions to Schwinger-Dyson equations, consistent with a
putative UV-stable renormalisation group fixed point. To address the non-perturbative
issue of the value $N_c$ below which such a fixed point exists we present preliminary
results obtained with $N=2$.