Pure Mathematics

 

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

  • Contributions to the theory of apolarity 

    Vaidyanathaswamy, R. (University of St Andrews, 1924) - Thesis

  • Multifractal measures : from self-affine to nonlinear 

    Lee, Lawrence David (University of St Andrews, 2021-12-01) - Thesis
    This thesis is based on three papers the author wrote during his time as a PhD student [28, 17, 33]. In Chapter 2 we study 𝐿[sup]𝑞-spectra of planar self-affine measures generated by diagonal matrices. We introduce ...

  • Enumerating 0-simple semigroups 

    Russell, Christopher (University of St Andrews, 2021-06-29) - Thesis
    Computational semigroup theory involves the study and implementation of algorithms to compute with semigroups. Efficiency is of central concern and often follows from the insight of semigroup theoretic results. In turn, ...

  • Coincidence and disparity of fractal dimensions 

    Burrell, Stuart Andrew (University of St Andrews, 2021-06-29) - Thesis
    We investigate the dimension and structure of four fractal families: inhomogeneous attractors, fractal projections, fractional Brownian images, and elliptical polynomial spirals. For each family, particular attention is ...

  • Subdirect products of free semigroups and monoids 

    Clayton, Ashley (University of St Andrews, 2020-12-01) - Thesis
    Subdirect products are special types of subalgebras of direct products. The purpose of this thesis is to initiate a study of combinatorial properties of subdirect products and fiber products of semigroups and monoids, ...

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