Despite the field's long history, many important questions in Riemannian geometry involving symmetry assumptions remain open to this day. An example is the long-standing Alexeevskii conjecture (1970's) on homogeneous Einstein spaces. With new tools having been developed in recent years by the supervisor and his collaborators, among others, this is an inviting time to tackle some of these problems.

Project members

Project Level: Honours/Masters/PhD

Dr Ramiro Lafuente

ARC DECRA Fellowship