  A basic problem in gravitational physics is the resolution of spacetime
singularities where general relativity breaks down. The simplest such
singularities are conical singularities arising from orbifold identifications
of flat space, and the most challenging are spacelike singularities inside
black holes (and in cosmology). Topology changing processes also require
evolution through classically singular spacetimes. I briefly review how a phase
of closed string tachyon condensate replaces, and helps to resolve, basic
singularities of each of these types. Finally I discuss some interesting
features of singularities arising in the small volume limit of compact
negatively curved spaces and the emerging zoology of spacelike singularities.
