• Nonlinear buckling of thick-walled tube

    Thick walled tube

    A thick walled tube with mode-3 buckling.

  • Soliton theory


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

  • 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.

  • Modular forms

    Tree for modular group 2

    Tree for modular group

  • Estimation of Historic Population Sizes

    Violin plots

    Genetic variability between modern individuals allows estimation of historic population sizes.

  • 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.

  • Quiz software


    The "Model Choice" and "Testing Statistics" software are web-based multiple-choice systems with a focus on detailed feedback to learners.

  • 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.

  • 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.

  • Counterflow turbulence

    Counterflow turbulence

    The study of vortex dynamics in superfluid helium may help us understand complex fluid motions, which remains one of natures great challenges.

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.