Graphene -- a two-dimensional hexagonal lattice of carbon atoms -- is nowadays one of the most studied materials due to its exceptional properties and their potential technical applications. After introducing the basics of graphene, we show that deformations are not necessarily disadvantageous but can be used to tailor certain transport properties. We demonstrate that deformations can be used to focus the current flow or to filter electrons from a certain valley. Moreover, effects of general relativity can be emulated by means of deformed graphene because the electrons behave as relativistic massless fermions in curved space. Finally, we discuss how a transport gap can be opened in graphene by deforming the contact geometry.