Pure Mathematics Theses: Recent submissions

Now showing items 1-5 of 69

    • 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 ...

    • 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 ...

    • Finiteness conditions on semigroups relating to their actions and one-sided congruences 

      Miller, Craig (University of St Andrews, 2020-12-01) - Thesis
      The purpose of this thesis is threefold: firstly, to develop a systematic theory of presentations of monoid acts; secondly, to study finiteness conditions on semigroups relating to finite generation of one-sided congruences; ...

    • On constructing topology from algebra 

      Elliott, Luke (University of St Andrews, 2022-06-14) - Thesis
      In this thesis we explore natural procedures through which topological structure can be constructed from specific semigroups. We will do this in two ways: 1) we equip the semigroup object itself with a topological structure, ...

    • Interpolating between Hausdorff and box dimension 

      Banaji, Amlan (2023-11-28) - Thesis
      Hausdorff and box dimension are two familiar notions of fractal dimension. Box dimension can be larger than Hausdorff dimension, because in the definition of box dimension, all sets in the cover have the same diameter, but ...