Applications of topology to soft matter physics
Dr M Grant, Dr R Hepworth
Applications accepted all year round
This project will address mathematical problems in the research field of algebraic topology, inspired by the theory of topological defects in soft materials.
Applied Algebraic Topology in Geometry
Dr R Hepworth, Dr M Grant
Applications accepted all year round
In recent years the techniques of algebraic topology have been applied to data analysis with great success, and the resulting subject areas of Applied Algebraic Topology and Topological Data Analysis have seen rapid growth.
Topological methods for image recognition
Prof B Martin, Prof R Levi
Applications accepted all year round
The aim of this project is to develop mathematical algorithms for manipulating and classifying medical images.
Chaos and fractals in fluid motion
Dr A Moura, Prof C Grebogi
Applications accepted all year round
The advection of particles and fields by fluid flows is a problem of great interest for both fundamental physics and engineering applications.
Enhancing predictability in chaotic systems
Dr F Ginelli, Prof A Politi
Applications accepted all year round
The goal of this research program – which involves theoretical analysis and numerical simulations -- is to apply fundamental results and recent developments (to which the supervisors significantly contributed) of dynamical system theory to enhance our ability to predict the future evolution of complex and chaotic dynamical systems -- such as weather and climate systems.
