Mathematics

Research groups

Research priorities

The priorities of the school's research efforts are:

• execution of internationally recognised world-class mathematical and statistical research resulting in key publications and presentations;
• research training of graduate students who show the highest potential;
• research development and career progression of postdoctoral research workers;
• interaction with external groups both within academia and beyond;
• commercialising opportunities combining research and enterprise.

Research institutes

There is a wide range of research conducted in the school, spanning many of the conventional boundaries between disciplines. Potential applicants are encouraged to consult the school's website for detailed accounts of the research themes, but broadly there are five research institutes:

In Institute of Applied Mathematics, research is concentrated in the areas of

• Applied Mathematics
• Dynamical Systems and Statistical Mechanics
• Fluid Dynamics
• Fluids and Materials
• Materials Science
• Scientific Computing
• Complex Systems

The Institute for Mathematical Physics concentrates on the Mathematical Physics research themes:

• Complex Systems
• Quantum Information
• Quantum Chaos
• Random Matrix Theory

The Institute of Probability, Analysis and Dynamics research themes are intricately intertwined:

• Analysis
• Analysis and Partial Differential Equations
• Applied Probability
• Behavioural Biology
• Dynamical Systems and Statistical Mechanics
• Ergodic Theory and Dynamical Systems
• Scaling Limits
• Statistical Physics

The Institute of Pure Mathematics is concerned with discovering, understanding and explaining abstract mathematical structures within the research themes of :

• Algebra
• Combinatorics
• Group Theory
• Mathematical Logic and Set Theory
• Number Theory
• Representation Theory
• Set Theory and Logic

The Institute of Statistical Science explores the whole spectrum of modern Statistics under the research themes

• Bayesian Modelling and Analysis
• Monte Carlo Computation
• Multiscale Methods
• Nonparametric Regression
• Optimisation Under Uncertainty
• Statistical Bioinformatics
• Statistical Signal Processing
• Statistics
• Time Series

Collaboration

Members of the school collaborate with colleagues from a variety of disciplines at Bristol, including physics, social sciences, biology and medicine, as well as with external organisations, such as Hewlett Packard, QinetiQ, Unilever, Barclays Bank, the Government Communications Headquarters and National Air Traffic Services.

Careers

Graduates have gone on to on to work in industry, finance, consultancy and academia, including post-doctoral positions and lectureships.