This workshop aimed to bring together experts on singularity formation from mathematical general relativity as well as from dispersive PDE to map out the current frontiers of the fields, stimulate the transfer of ideas, foster discussions and new collaborations, and to inspire the new generation of researchers to take up the challenges this field holds. On the side of general relativity the workshop focused on the topics of naked singularities, singularities inside black holes, as well as cosmological singularities. On the side of dispersive PDE the workshop aimed to discuss the characterisation of general singularities and blow-up dynamics.