2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217734In a number of model contexts, evolution across space-time singularities (reminiscent of the cosmological singularities) involves time-dependent quantum Hamiltonians developing a singularity as a function of time. In this contribution to the proceedings of the 3rd RTN workshop in Valencia, I review some recent investigations of the general properties of such systems.8 pagesHigh Energy Physics - Theorytext