Title Project Discription Level Supervisor
SRS-08/17 Fracture in two dimensional porous materials

Suitable for:  Third year students with good programming background and knowledge of partial differential equations.

Project:  There remain questions about how failure initiates in complex geometrical situations.  We will model the stress...

Summer Project Ms Janet Seddon
Dynamical Systems and Ergodic Theory

Student projects are available in the areas of dynamical systems and ergodic theory. Possible topics include the analytical and computational study of metastable and coherent structures. Such structures encode important properties of the long term behaviour of the underlying system. They have...

PhD Project
Masters Project
Honours Project
Dr Cecilia González Tokman
Gauss-Bonnet Formula for Singular Surfaces

The Gauss-Bonnet formula is one of the most important results in differential geometry, relating the geometric curvature of a closed surface with the topological Euler characteristic. In this project, you will conduct research on a...

Honours Project
Summer Project
Dr Huy Nguyen
Eigenvalues of the Laplacian on a Riemannian Manifold

For Riemannian manifolds, there is a natural differential geometric...

Honours Project
Summer Project
Dr Huy Nguyen
Curve Shortening Flow

The curve shortening flow is a parabolic geometric flow, which belongs to the family of equations which includes the Ricci...

Honours Project
Summer Project
Dr Huy Nguyen
Surfaces with Critical Curvature Bounds

Surfaces are 2-dimensional objects that play a fundamental role in differential geometry and its applications. When surfaces are immersed in an ambient space they have a natural associated energy called the Willmore energy (or the elastic...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Huy Nguyen
Geometric Flows

The field of geometric flows has seen significant recent activity with notable achievements such as the resolution of the geometrization conjecture, Poincaré's ...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Huy Nguyen
Geometric PDE: Prescribed Curvature Problems, the Ricci Flow, and Yang-Mills Theory

There are multiple projects available in the field of geometric partial differential equations. Most of these projects focus on prescribed curvature problems, the Ricci flow, and Yang-Mills theory. The questions they address are related to general relativity, quantum field theory, and other...

PhD Project
Masters Project
Honours Project
Summer Project
Dr Artem Pulemotov
Convolutions in the S-Plane with Applications

It is well known that the Laplace transform of a time-domain convolution of two functions is the product of the individual Laplace transforms.  A similar 'dual' property is that a convolution type contour integral of two Laplace transform yields the time domain product.  This...

Honours Project Dr Yoni Nazarathy
Nonlinear Partial Differential Equations and Geometric Evolution Equations

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...

PhD Project
Masters Project
Honours Project
Summer Project
Professor Joseph Grotowski