2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67194We discuss the issue of branching in quasiregular mapping, and in particular the relation between branching and the problem of finding geometric parametrizations for topological manifolds. Other recent progress and open problems of a more function theoretic nature are also presented.Differential Geometry30C65, 57M12text