• Dynkin diagrams

    Dynkin diagram

    Dynkin diagrams encode the structure of Weyl groups and Lie algebras. Their representation theory is used in many areas of mathematical physics.

  • Patterns of thermal convection.

    Thermal convection

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

  • Multi-scale modelling of heart

    Ventricle model

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

  • Geometric group theory

    Geometric group theory

    The four colour pentagon

  • Wavelet analysis of river flows

    Plot

    Results from a wavelet analysis of daily maximum river flows and their relationships with climate drivers.

  • Modelling the mitrial valve

    Mitral valve model

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

  • Interactive Illustrations using R

    Screenshot

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

  • A braid

    Braid

    Braids appear spontaneously in both topology and category theory, for reasons that turn out to reveal deep connections between these subjects.

  • Statistics with a human face

    Baby face

    Stereo-cameras can provide high resolution data on surfaces such as faces and statistical methods provide a means of analysing the shape information.

  • Ancestry of African Slaves

    Violin plots

    Statistical genetics provides a means of partitioning the ancestry of descendants of African slaves in the USA to different regions of Africa.

The School of Mathematics & Statistics combines world-leading research expertise in pure and applied mathematics and statistics. In the 2008 Research Assessment Exercise the majority of our submission was judged 4* (world-leading) and 3* (internationally excellent), with statistics achieving the highest 4* rating in Scotland.

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.