  Recent developments concerning oscillatory spacelike singularities in general
relativity are taking place on two fronts. The first treats generic
singularities in spatially homogeneous cosmology, most notably Bianchi types
VIII and IX. The second deals with generic oscillatory singularities in
inhomogeneous cosmologies, especially those with two commuting spacelike
Killing vectors. This paper describes recent progress in these two areas: in
the spatially homogeneous case focus is on mathematically rigorous results,
while analytical and numerical results concerning generic behavior and
so-called recurring spike formation are the main topic in the inhomogeneous
case. Unifying themes are connections between asymptotic behavior, hierarchical
structures, and solution generating techniques, which provide hints for a link
between the nature of generic singularities and a hierarchy of hidden
asymptotic symmetries.
