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

  • 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 ...
  • On generators, relations and D-simplicity of direct products, Byleen extensions, and other semigroup constructions 

    Baynes, Samuel (University of St Andrews, 2015-11-30) - Thesis
    In this thesis we study two different topics, both in the context of semigroup constructions. The first is the investigation of an embedding problem, specifically the problem of whether it is possible to embed any given ...
  • The maximal subgroups of the classical groups in dimension 13, 14 and 15 

    Schröder, Anna Katharina (University of St Andrews, 2015-11-30) - Thesis
    One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is ...
  • Dots and lines : geometric semigroup theory and finite presentability 

    Awang, Jennifer S. (University of St Andrews, 2015-06-26) - Thesis
    Geometric semigroup theory means different things to different people, but it is agreed that it involves associating a geometric structure to a semigroup and deducing properties of the semigroup based on that structure. ...

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