Discipline: 
Mathematics
Status: 
Available
Level: 
PhD Project
Level: 
Masters Project
Level: 
Honours Project
Level: 
Summer Project
Supervisor(s): 
Dr Huy Nguyen

The field of geometric flows has seen significant recent activity with notable achievements such as the resolution of the geometrization conjecture, PoincarĂ©'s conjecture and the Penrose inequality. The projects offered here will investigate the Ricci flow and the mean curvature flow which are closely associated with these problems. In particular we will analyse asymptotically and quantitatively the formation of singularities of these flows.