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The University of Southampton
Mathematical Sciences


From the interaction of numerical analysis and differential geometry in black hole dynamics, to the role of simulation and optimisation in public health planning, the broad range of mathematical sciences studied at Southampton gives us a unique ability to contribute to the scientific, engineering and social challenges facing society.

Our research expertise includes mathematical physics, biology, geometry, group theory, experimental design and stochastic optimisation. Southampton research students are active across all these fields at doctoral level. We can offer expert supervision for student research at MSc and PhD level in a broad range of subjects.

Applied Mathematics and Theoretical Physics

Applied Mathematics and Theoretical Physics at Southampton covers a wide range of topics in mathematical physics and mathematical modelling. Our expertise includes gravitational waves, the quantum behaviour of ultra cold gasses, mathematics of biology and medicine and the design of liquid crystal devices, solar cells and batteries.

Operational Research

Our main research areas are computational optimisation, healthcare modelling, scheduling, stochastic simulation, and stochastic optimisation. In the recent Research Excellence Framework (REF) 2014, 100% of our research was deemed to be world leading or internationally excellent in termsof originality, significance, and rigour. Our work has had considerable impact in industries ranging from satellite design, Formula 1 racing, robust supply chain management, and health care provision across the developing world.

Pure Mathematics

The Pure Mathematics Group has internationally leading teams in geometric group theory, noncommutative geometry, algebraic topology and applied topology. We are very keen on building bridges between these areas and interacting with other mathematicians, scientists and engineers to find new ways to exploit sophisticated mathematical ideas.


The Statistics Group is a leading international centre for research in the theory, methodology and applications of the design and analysis of experiments, statistical modelling and biostatistics. As part of the Southampton Statistical Sciences Research Institute (S3RI), we play a leading role in one of the largest groups of statisticians in the UK and were ranked second for 'research power' in the last Research Assessment Exercise.

Research centres

Southampton Statistical Sciences Research Institute

Southampton Centre for Operational Research, Management Science, and Information

Southampton Theory Astrophysics and Gravity Research Centre

Centre for Geometry, Topology, and Applications

Boosting spacecraft design

The European Space Agency (ESA) can now design more efficient and quality spacecraft thanks to a new software toolbox devised by mathematicians at the University of Southampton.

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Improving engine production at Ford

Ford Motor Company has made significant savings with the launch of a tool for automatic analysis and data presentation developed by mathematical science researchers at the University of Southampton.

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