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

  • Solvable quotients of subdirect products of perfect groups are nilpotent 

    Kearnes, Keith; Mayr, Peter; Ruskuc, Nik (2018-08-09) - Journal article
    We prove the statement in the title and exhibit examples of quotients of arbitrary nilpotency class. This answers a question by Holt.
  • Triple arrays from difference sets 

    Nilson, Tomas; Cameron, Peter J. (2017-11) - Journal article
    This paper addresses the question whether triple arrays can be constructed from Youden squares developed from difference sets. We prove that if the difference set is abelian, then having −1 as multiplier is both a necessary ...
  • On the Π^0_γ-completeness and Σ^0_γ-completeness of multifractal decomposition sets 

    Olsen, Lars Ole Ronnow (2018) - Journal article
    The purpose of this paper twofold. Firstly, we establish Π^0_γ-completeness and Σ^0_γ-completeness of several different classes of multifractal decomposition sets of arbitrary Borel measures (satisfying a mild non-degeneracy ...
  • Analytic analysis of auxetic metamaterials through analogy with rigid link systems 

    Rayneau-Kirkhope, Daniel; Zhang, Chengzhao; Theran, Louis Simon; Dias, Marcelo (2018-02-21) - Journal article
    In recent years many structural motifs have been designed with the aim of creating auxetic metamaterials. One area of particular interest in this subject is the creation of auxetic material properties through elastic ...
  • On plausible counterexamples to Lehnert's conjecture 

    Bennett, Daniel (University of St Andrews, 2018) - Thesis
    A group whose co-word problem is a context free language is called co𝐶𝐹 . Lehnert's conjecture states that a group 𝐺 is co𝐶𝐹 if and only if 𝐺 embeds as a finitely generated subgroup of R. Thompson's group V . In this ...

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