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

  • A capacity approach to box and packing dimensions of projections of sets and exceptional directions 

    Falconer, Kenneth John (2019-03-12) - Journal article
    Dimension profiles were introduced in [8,11] to give a formula for the box-counting and packing dimensions of the orthogonal projections of a set E in ℝn onto almost all m-dimensional subspaces. However, these definitions ...
  • Hitting and escaping statistics : mixing, targets and holes 

    Bruin, Henk; Demers, Mark F.; Todd, Mike (2018-04-13) - Journal article
    There is a natural connection between two types of recurrence law: hitting times to shrinking targets, and hitting times to a fixed target (usually seen as escape through a hole). We show that for systems which mix ...
  • Maximal subsemigroups of finite transformation and diagram monoids 

    East, James; Kumar, Jitender; Mitchell, James D.; Wilson, Wilf A. (2018-06-15) - Journal article
    We describe and count the maximal subsemigroups of many well-known transformation monoids, and diagram monoids, using a new unified framework that allows the treatment of several classes of monoids simultaneously. The ...
  • Computing maximal subsemigroups of a finite semigroup 

    Donoven, C. R.; Mitchell, J. D.; Wilson, W. A. (2018-07-01) - Journal article
    A proper subsemigroup of a semigroup is maximal if it is not contained in any other proper subsemigroup. A maximal subsemigroup of a finite semigroup has one of a small number of forms, as described in a paper of Graham, ...
  • Generators and presentations for direct and wreath products of monoid acts 

    Miller, Craig (2018-12-17) - Journal article
    We investigate the preservation of the properties of being finitely generated and finitely presented under both direct and wreath products of monoid acts. A monoid M is said to preserve property P in direct products if, ...

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