Discipline: 
Mathematics
Status: 
Available
Level: 
PhD Project
Level: 
Masters Project
Level: 
Honours Project
Level: 
Summer Project

A number of projects are offered in the areas of Nonlinear Partial Differential Equations and Geometric Evolution Equations. These include topics in partial regularity theory for elliptic and parabolic systems, the evolution equations associated with liquid crystals, Yang-Mills flow and work on the Mumford-Shah functional, which arises in image segmentation.Some projects can also be arranged with a numerical emphasis, in particular in cooperation with Assoc. Prof. Tony Roberts and Dr Vivien Challis, in the area of Topology Optimization.