  We present results from lattice simulations of ${\cal N}=2$ super Yang-Mills
theory in two dimensions. The lattice formulation we use was developed in
\cite{2dpaper} and retains both gauge invariance and an exact (twisted)
supersymmetry for any lattice spacing. Results for both U(2) and SU(2) gauge
groups are given. We focus on supersymmetric Ward identities, the phase of the
Pfaffian resulting from integration over the Grassmann fields and the nature of
the quantum moduli space.
