• Cube of resolutions


    Khovanov homology uses this combinatorial information to produce a powerful knot invariant with connections to respresentation theory and physics

  • Multi-scale modelling of heart

    Ventricle model

    A left ventricle model with normal vectors on the endocardial surface.

  • 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.

  • Statistical Testing


    Bivariate contours under null and alternative hypotheses with Bonferroni boundaries illustrated.

  • Simulation of swimming algae

    Flowfield algae

    The flowfield around the biflagellated swimming green algae Chlamydomonas nivalis produced using the method of regularized stokeslets: the flagella beat at 50 Hz.

  • Modelling the mitrial valve

    Mitral valve model

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

  • A deformation of a singularity


    The space of deformations of a singularity carries the structure of a Frobenius manifold.

  • 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.

  • 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.

  • Geometric group theory

    Geometric group theory

    The four colour pentagon

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.