Spyros Alexakis - University of Toronto We consider the stability of the Schwarzschild singularity in vacuum under polarized and axially symmetric perturbations. We find that the space-like singularities persist under such perturbations, but their dynamics exhibit a great richness, consistent with the asymptotically velocity term dominated behaviour. The result relies crucially on a new approach for the Einstein equations in axial symmetry. Joint work with G. Fournodavlos.