Skip to main content


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

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.

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.

Three students in maths revision session

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

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.


DMandDS Team image

Discrete Mathematics and Data Science Research Team

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

Analysis, Probability and Stochastic Processes

Analysis, Probability and Stochastic Processes Team

The Analysis, Probability and Stochastic Processes (APSP) interdisciplinary team considers the interface of two areas of mathematics: analysis and probability.