Geometric and Nonlinear Analysis Available Projects
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 |