The School has research strengths across Pure Mathematics, Applied Mathematics and Statistics. All the Research groups are internationally-leading, and attract researchers, postgraduate students and collaborators from across the world. The School is also well-known for its research in the History of Mathematics.

For more information please visit the School of Mathematics & Statistics home page.

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Recent Submissions

  • Rearrangement groups of connected spaces 

    Khalid, Nayab (University of St Andrews, 2020-07-28) - Thesis
    We develop a combinatorial framework that assists in finding natural infinite “geometric” presentations for a large subclass of rearrangement groups of fractals – defined by Belk and Forrest, namely rearrangement groups ...
  • Internal interannual variability in the extra-tropical stratosphere 

    Hatfield, Luke Anthony (University of St Andrews, 2021-11-30) - Thesis
    We investigate persistent low-frequency variability of the stratospheric winter polar vortex in a rotating spherical shallow-water model under the action of topographic wave-forcing and radiative cooling to a simple ...
  • Expanding the use of spatial models in statistical ecology 

    Seaton, Andrew Ernest (University of St Andrews, 2022-06-14) - Thesis
    This thesis is focused on expanding the use of spatial modelling approaches for applications in ecology. Spatial ecology is about understanding the processes that give rise to spatial patterns in ecological data. In addition ...
  • Modern computational methods for finitely presented monoids 

    Tsalakou, Maria (2024-06-11) - Thesis
    In this thesis we are mainly interested in the development of practical algorithms for semigroups and monoids defined by finite presentations. Although in general nearly every problem about finitely presented semigroups ...
  • Combinatorial algorithms in semigroups 

    Smith, Finlay Laughlan (University of St Andrews, 2022-06-14) - Thesis
    Computational semigroup theory is concerned with developing and implementing algorithms for determining properties of semigroups. The problems in computational semigroup theory can often be divided into sub-problems in ...

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