• Geometric group theory

    Geometric group theory

    The four colour pentagon

  • Statistical Testing

    Illustration

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

  • Bioconvection patterns

    Algae bioconvection patterns

    Bioconvection patterns, as seen from above, due to hydrodynamic instabilities induced by the biased swimming motion of many negatively buoyant unicellular green algae.

  • A deformation of a singularity

    Singularity

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

  • 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.

  • 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.

  • Wavelet analysis of river flows

    Plot

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

  • Busse columns of convection

    Busse columns sphere

    Thermal convection in rotating spherical shell is the fundamental model of the fluid inner core of the Earth.

  • Multi-scale modelling of heart

    Ventricle model

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

  • Soliton theory

    Breather

    Solitons are special solutions to nonlinear partial differential equations but they also parametrize surfaces such as the one depicted above.

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.