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UoA 10 Mathematical Sciences

Our research demonstrates clearly the impact mathematical sciences has on everyday life. With a GPA of 3.08 we are ranked as 19th in the UK, and 9th for the percentage of research that is 'world leading' or 'internationally excellent'. A distinctive feature of this unit is that 100% of our research was rated as ‘outstanding’ or ‘very considerable’ for its impact in terms of its reach and significance. We are truly interdisciplinary in nature, and have provided solutions to contemporary issues such as data security and hospital waiting times.

Quality level 4 3 2 1 UC
Overall 18.0% 72.0% 10.0% 0.0% 0.0%
Outputs 20.0% 65.0% 15.0% 0.0% 0.0%
Impact 26.7% 73.3% 0.0% 0.0% 0.0%
Environment 0.0% 100.0% 0.0% 0.0% 0.0%
About the REF

Our mathematics research spans several areas, from informing academic scholarship through fundamental enquiry to using mathematical reasoning to provide solutions to real-world problems.

During the REF period our research income has increased by over 290% and we've invested significantly to support research capacity and ensure sustainability.

In addition to the substantial funds we attract from the Research Councils and European Union, we receive significant awards from the Leverhulme Trust, the Ministry of Defence, the Wellcome Trust, GlaxoSmithKline, and Proctor and Gamble.

Research in the School is supported by the University's Advanced Research Computing facility (ARCCA), one of the largest academic computational resources in the UK as well as High Performance Computing (HPC) Wales.

Our researchers are committed to finding new benefits to their work by engaging in interdisciplinary collaborations with a number of other disciplines. Examples of this include research into convection of the Earth's mantle and inverse problems in brain imaging.

Case studies

Data security

Meeting the challenges of data security

Our research has significantly improved the security of printing and network environments.

Doctors moving a patient

Using maths to save lives

Our new mathematical models are reducing waiting times in hospitals to save lives.

Supermarket aisle

Understanding consumer behaviour

We have developed important statistical and mathematical models for forecasting consumer buying behaviour.

Research groups

Our highly active research groups collaborate with leading academic researchers throughout the world.

Mathematical Analysis

Mathematical Analysis Research Group

Cardiff Analysis spans an exciting range of topics including spectral theory and spectral geometry, related areas such as analytic number theory and microlocal analysis, through to inverse problems, imaging, nonlinear PDEs, deterministic and stochastic homogenisation.

Applied and Computational Mathematics

Applied and Computational Mathematics Research Group

Our research in applied and computational mathematics includes: theoretical and applied fluid mechanics, mathematics and mechanics of solids, mathematical biology, applied analysis, and numerical analysis and scientific computing.

Maths equations

Geometry, Algebra, Mathematical Physics and Topology Research Group

In line with much of modern mathematics, this group is a blend of pure mathematicians and theoretical physicists.


Operational Research Group

Our research contributes to fundamental operational research theory and creates impact. We have particular strengths and leading expertise in areas of optimisation and planning, queueing systems, healthcare modelling, environmental modelling, and finance and risk.

Statistics illustration

Statistics Research Group

The group is active both in applications of statistical techniques and in theory.

Overall ranking

Pos. Institution GPA
1University of Oxford3.55
2University of Cambridge3.36
3University of Warwick3.35

18University of Sheffield3.09
19Cardiff University3.08
19University of Glasgow3.08
19University College London3.08
22University of Durham3.06
23Queen Mary University of London3.01
23University of Exeter3.01

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