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

  • Flatness, extension and amalgamation in monoids, semigroups and rings 

    Renshaw, James Henry (University of St Andrews, 1986) - Thesis
    We begin our study of amalgamations by examining some ideas which are well-known for the category of R-modules. In particular we look at such notions as direct limits, pushouts, pullbacks, tensor products and flatness in ...
  • Dimension theory of random self-similar and self-affine constructions 

    Troscheit, Sascha (University of St Andrews, 2017-06-23) - Thesis
    This thesis is structured as follows. Chapter 1 introduces fractal sets before recalling basic mathematical concepts from dynamical systems, measure theory, dimension theory and probability theory. In Chapter 2 we give ...
  • Restricted permutations, antichains, atomic classes and stack sorting 

    Murphy, Maximilian M. (University of St Andrews, 2003) - Thesis
    Involvement is a partial order on all finite permutations, of infinite dimension and having subsets isomorphic to every countable partial order with finite descending chains. It has attracted the attention of some celebrated ...
  • Multifractal zeta functions 

    Mijović, Vuksan (University of St Andrews, 2017-06-23) - Thesis
    Multifractals have during the past 20 − 25 years been the focus of enormous attention in the mathematical literature. Loosely speaking there are two main ingredients in multifractal analysis: the multifractal spectra and ...
  • 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 ...

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