Our research is concentrated on:

  • Nonlinear partial differential equations, in particular systems;
  • Dynamical systems;
  • Calculus of Variations;
  • Geometric evolution equations (in particular the harmonic map heat flow, Yang-Mills flow, and curvature flows);  

We consider a range of problems from very pure to vey applied, rom heoretical to computational. We have active collaborations with a number of groups inside Australia and around the world. Our members hold 4 current ARC Discovery Grants.
For more information please follow the links to people's personal web pages.
 

Available Projects

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...

Dr Cecilia González Tokman

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...

Dr Huy Nguyen

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

Dr Huy Nguyen

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

Dr Huy Nguyen

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...

Dr Huy Nguyen

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

Dr Huy Nguyen

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...

Dr Artem Pulemotov

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...

Dr Yoni Nazarathy

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...

Professor Joseph Grotowski