• Brain activation

    MRI Scan

    Medical imaging provides fascinating insights into the workings of the brain and statistical modelling can help to identify interesting patterns from noisy data.

  • Modelling the mitrial valve

    Mitral valve model

    A human mitral valve model based on MRI, modelled with the Finite Element-Imersed Boundary method.

  • Where did modern humans come from?

    Violin plots

    Maximum-likelihood phylogenetic analysis of mitochondrial DNA variation reveals that modern humans exited Africa via South Asia.

  • Patterns of thermal convection.

    Thermal convection

    Thermal convection is one of the simplest pattern forming spatially extended systems.

  • Nitrate Levels in a River Catchment

    River network

    The statistical model used for nitrate levels over a river monitoring network takes account of the flow connectedness of the monitoring sites.

  • Interactive Illustrations using R


    The rpanel package allows highly interactive plots to be created easily in R. This can be particularly effective for creating dynamic teaching illustrations.

  • Geometric group theory

    Geometric group theory

    The four colour pentagon

  • Quantum cohomology

    Forbenius manifolds

    The associativity condition of quantum cohomology provides links with integrable systems through Frobenius manifolds and Yang-Baxter algebras.

  • A deformation of a singularity


    The study of such objects brings together ring theory, topology and algebraic geometry and has applications in integrable systems and mathematical physics.

  • Wrinkled elastic sheets

    Equiangular spirals

    Work by Ciprian Coman illustrating equiangular spirals on wrinkled elastic sheets.

The School of Mathematics & Statistics combines world-leading research expertise in pure and applied mathematics and statistics. The results of the Research Excellence Framework (REF) 2014 have now been announced. This a major review of research across all disciplines, which takes place in the UK every few years. The results give an internationally excellent or world-leading rating to 89% of research in our school, and we are ranked 8th out of 53 submissions in the mathematical sciences across the UK for `research intensity' in the Times Higher Education tables.

If you study with us you can benefit from our excellent teaching standards and supportive learning environment – an impressive 97% of our final year undergraduate students rate themselves as satisfied with their overall experience, according to the 2011 National Student Survey, rating us 1st in Scotland and 2nd in the UK.