Main areas of research activity are algebra, including group theory, semigroup theory, lattice theory, and computational group theory, and analysis, including fractal geometry, multifractal analysis, complex dynamical systems, Kleinian groups, and diophantine approximations.

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

Recent Submissions

  • Generating "large" subgroups and subsemigroups 

    Jonušas, Julius (University of St Andrews, 2016) - Thesis
    In this thesis we will be exclusively considering uncountable groups and semigroups. Roughly speaking the underlying problem is to find “large” subgroups (or subsemigroups) of the object in question, where we consider ...
  • Synchronizing permutation groups and graph endomorphisms 

    Schaefer, Artur (University of St Andrews, 2016) - Thesis
    The current thesis is focused on synchronizing permutation groups and on graph endo- morphisms. Applying the implicit classification of rank 3 groups, we provide a bound on synchronizing ranks of rank 3 groups, at first. ...
  • Aspects of order and congruence relations on regular semigroups 

    Gomes, Gracinda Maria dos Santos (University of St Andrews, 1983) - Thesis
    On a regular semigroup S natural order relations have been defined by Nambooripad and by Lallement. Different characterisations and relationships between the Nambooripad order J, Lallement's order λ and a certain relation ...
  • Graph automatic semigroups 

    Carey, Rachael Marie (University of St Andrews, 2016-06-24) - Thesis
    In this thesis we examine properties and constructions of graph automatic semigroups, a generalisation of both automatic semigroups and finitely generated FA-presentable semigroups. We consider the properties of graph ...
  • Dimension and measure theory of self-similar structures with no separation condition 

    Farkas, Ábel (University of St Andrews, 2015-11-30) - Thesis
    We introduce methods to cope with self-similar sets when we do not assume any separation condition. For a self-similar set K ⊆ ℝᵈ we establish a similarity dimension-like formula for Hausdorff dimension regardless of any ...

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