  We study the dynamics near big crunch singularities produced in asymptotic
AdS cosmologies using gauge/gravity duality. The dual description consists of a
constant mass deformation of ABJM theory on de Sitter space and is well-defined
and stable for small deformations. We identify the critical deformation where
the theory becomes unstable at weak and at strong coupling. Using spacelike
geodesics anchored on the boundary we compute two-point correlators of ABJM
operators of large dimensions. Near the critical deformation a second saddle
point contribution enters, in which the spacelike geodesics probe the high
curvature region near the singularity. Its contribution strongly enhances the
long-distance correlations. This has a natural interpretation in the weakly
coupled boundary theory where the critical point corresponds to a massless
limit.
