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

  • Exact dimensionality and projection properties of Gaussian multiplicative chaos measures 

    Falconer, Kenneth; Jin, Xiong (2018-12-12) - Journal article
    Given a measure ν on a regular planar domain D, the Gaussian multiplicative chaos measure of ν studied in this paper is the random measure ^ν^ obtained as the limit of the exponential of the γ-parameter circle averages of ...
  • Phases of physics in J.D. Forbes’ Dissertation Sixth for the Encyclopaedia Britannica (1856) 

    Falconer, Isobel Jessie (2018-12-03) - Journal article
    This paper takes James David Forbes’ Encyclopaedia Britannica entry, Dissertation Sixth, as a lens to examine physics as a cognitive, practical, and social, enterprise. Forbes wrote this survey of eighteenth- and ...
  • Some isomorphism results for Thompson-like groups Vn(G)  

    Bleak, Collin; Donoven, Casey; Jonusas, Julius (2017-11-08) - Journal article
    We find some perhaps surprising isomorphism results for the groups {Vn(G)}, where Vn(G) is a supergroup of the Higman–Thompson group Vn for n ∈ N and G ≤ Sn, the symmetric group on n points. These groups, introduced by ...
  • Finiteness properties of direct products of algebraic structures 

    Mayr, P.; Ruskuc, Nikola (2018-01-15) - Journal article
    We consider the preservation of properties of being finitely generated, being finitely presented and being residually finite under direct products in the context of different types of algebraic structures. The structures ...
  • Dimensions of sets which uniformly avoid arithmetic progressions 

    Fraser, Jonathan MacDonald; Saito, Kota; Yu, Han (2017-11-02) - Journal article
    We provide estimates for the dimensions of sets in ℝ which uniformly avoid finite arithmetic progressions (APs). More precisely, we say F uniformly avoids APs of length k≥3 if there is an ϵ>0 such that one cannot find an ...

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