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

  • Computational techniques in finite semigroup theory 

    Wilson, Wilf A. (University of St Andrews, 2019-06-25) - Thesis
    A semigroup is simply a set with an associative binary operation; computational semigroup theory is the branch of mathematics concerned with developing techniques for computing with semigroups, as well as investigating ...
  • Some group presentations with few defining relations 

    Gill, David Michael (University of St Andrews, 1990) - Thesis
    We consider two classes of groups with two generators and three relations. One class has a similar presentation to groups considered in the paper by C.M. Campbell and R.M. Thomas, ‘On (2,n)-Groups related to Fibonacci ...
  • Decision problems in groups of homeomorphisms of Cantor space 

    Olukoya, Feyisayo (University of St Andrews, 2018-12-06) - Thesis
    The Thompson groups $F, T$ and $V$ are important groups in geometric group theory: $T$ and $V$ being the first discovered examples of finitely presented infinite simple groups. There are many generalisations of these groups ...
  • On plausible counterexamples to Lehnert's conjecture 

    Bennett, Daniel (University of St Andrews, 2018) - Thesis
    A group whose co-word problem is a context free language is called co𝐶𝐹 . Lehnert's conjecture states that a group 𝐺 is co𝐶𝐹 if and only if 𝐺 embeds as a finitely generated subgroup of R. Thompson's group V . In this ...
  • Commutativity and free products in Thompson's group V 

    Bieniecka, Ewa (University of St Andrews, 2018-06-26) - Thesis
    We broaden the theory of dynamical interpretation, investigate the property of commutativity and explore the subject of subgroups forming free products in Thompson's group V. We expand Brin's terminology for a revealing ...

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