  We present a model for dark matter with extra spatial dimensions in which
Standard-Model (SM) fermions have localized wave functions. The underlying
gauge group is $G_{\rm SM} \otimes {\rm U}(1)_z$, and the dark matter particle
is a SM-singlet Dirac fermion, $\chi$, which is charged under the ${\rm
U}(1)_z$ gauge symmetry. We show that the conventional wisdom that the mass of
a Dirac fermion is naturally at the ultraviolet cutoff scale does not hold in
this model. We further demonstrate that this model yields a dark matter relic
abundance in agreement with observation and discuss constraints from direct and
indirect searches for dark matter. The dark matter particle interacts weakly
with matter and has negligibly small self-interactions. Very good fits to data
from cosmological observations and experimental dark matter searches are
obtained with $m_\chi$ in the multi-TeV range. A discussion is given of
observational signatures and experimental tests of the model.
