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.

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Recent Submissions

  • Counting chirps: acoustic monitoring of cryptic frogs 

    Measey, G. John; Stevenson, Ben C.; Scott, Tanya; Altwegg, Res; Borchers, David L. (2016-12-01) - Journal article
    1 .  Global amphibian declines have resulted in a vital need for monitoring programmes that follow population trends. Monitoring using advertisement calls is ideal as choruses are undisturbed during data collection. However, ...
  • 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. ...
  • On the dimensions of a family of overlapping self-affine carpets 

    Fraser, Jonathan MacDonald; Shmerkin, Pablo (2016-12) - Journal article
    We consider the dimensions of a family of self-affine sets related to the Bedford-McMullen carpets. In particular, we fix a Bedford-McMullen system and then randomise the translation vectors with the stipulation that the ...
  • String C-groups as transitive subgroups of Sn 

    Cameron, Peter Jephson; Fernandes, Maria Elisa; Leemans, Dimitri; Mixer, Mark (2016-02-01) - Journal article
    If Γ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (other than Sn and the alternating group An), then the rank of Γ is at most n/2+1, with finitely many exceptions (which are ...

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