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

  • Constructing 2-generated subgroups of the group of homeomorphisms of Cantor space 

    Hyde, James Thomas (University of St Andrews, 2017) - Thesis
    We study finite generation, 2-generation and simplicity of subgroups of H[sub]c, the group of homeomorphisms of Cantor space. In Chapter 1 and Chapter 2 we run through foundational concepts and notation. In Chapter 3 we ...
  • Generalized Bernstein polynomials and total positivity 

    Oruç, Halil (University of St Andrews, 1999) - Thesis
    "This thesis submitted for Ph.D. degree deals mainly with geometric properties of generalized Bernstein polynomials which replace the single Bernstein polynomial by a one-parameter family of polynomials. It also provides ...
  • 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 ...

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