This book contains a collection of research papers and useful surveys in the field of in the theory of submanifolds in Lorentz-Minkowski space, and more generally, in spacetimes. Based on contributions from the Young Researcher Workshop on Differential Geometry in Minkowski Space, held in 17-20 April, 2017, at the University of Granada, Spain, this volume covers topics such as spacelike and timelike hypersurfaces, submanifolds with constant mean curvature and constant Gauss curvature, singularities of maximal surfaces and hypersurfaces invariant by isometries in Minkowski space. This book is addressed to differential geometers, mathematical physicists and relativists, and graduate students interested in the field.