  We study K\"ahler-Dirac fermions on Euclidean dynamical triangulations. This
fermion formulation furnishes a natural extension of staggered fermions to
random geometries without requring vielbeins and spin connections. We work in
the quenched approximation where the geometry is allowed to fluctuate but there
is no back-reaction from the matter on the geometry. By examining the
eigenvalue spectrum and the masses of scalar mesons we find evidence for a four
fold degeneracy in the fermion spectrum in the large volume, continuum limit.
It is natural to associate this degeneracy with the well known equivalence in
continuum flat space between the K\"ahler-Dirac fermion and four copies of a
Dirac fermion. Lattice effects then lift this degeneracy in a manner similar to
staggered fermions on regular lattices. The evidence that these discretization
effects vanish in the continuum limit suggests both that lattice continuum
K\"ahler-Dirac fermions are recovered at that point, and that this limit truly
corresponds to smooth continuum geometries. One additional advantage of the
K\"ahler-Dirac action is that it respects an exact $U(1)$ symmetry on any
random triangulation. This $U(1)$ symmetry is related to continuum chiral
symmetry. By examining fermion bilinear condensates we find strong evidence
that this $U(1)$ symmetry is not spontaneously broken in the model at order the
Planck scale. This is a necessary requirement if models based on dynamical
triangulations are to provide a valid ultraviolet complete formulation of
quantum gravity.
