Each of our research areas has an active research group which collaborates with leading academic  researchers throughout the world.

Applied and Computational Mathematics Research Group

Our major interest is theoretical and computational fluid mechanics. We also undertake research in numerical analysis, structural and solid mechanics, inverse problems and applied analysis.

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.

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.

Mathematics Education Research Group

We are focused on developing and evaluating new modes of learning and teaching mathematics in response to ongoing social and technological change.


Operational Research Group

We are very active in applied research, postgraduate supervision, and consultancy or contract work.

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Statistics Research Group

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


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Discrete Mathematics and Data Science Research Team

We consider discrete and data related interdisciplinary research topics in the broad sense.