  The effects of spacetime quantization on black hole and big bang/big crunch
singularities can be studied using new tools from (2+1)-dimensional quantum
gravity. I investigate effects of spacetime quantization on singularities of
the (2+1)-dimensional BTZ black hole and the (2+1)-dimensional torus universe.
Hosoya has considered the BTZ black hole, and using a ``quantum generalized
affine parameter'' (QGAP), has shown that, for some specific paths, quantum
effects ``smear'' the singularity. Using generic gaussian wave functions, I
show that both BTZ black hole and the torus universe contain families of paths
that still reach the singularities with a finite QGAP, suggesting that
singularities persist in quantum gravity. More realistic calculations, using
modular invariant wave functions of Carlip and Nelson for the torus universe,
further support this conclusion.
