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

  • Recurrence statistics for the space of interval exchange maps and the Teichmüller flow on the space of translation surfaces 

    Aimino, Romain; Nicol, Matthew; Todd, Michael John (2017-08) - Journal article
    In this paper we show that the transfer operator of a Rauzy–Veech–Zorich renormalization map acting on a space of quasi-Hölder functions is quasicompact and derive certain statistical recurrence properties for this map and ...
  • Orbits of primitive k-homogenous groups on (n-k)-partitions with applications to semigroups 

    Araújo, João; Bentz, Wolfram; Cameron, Peter Jephson (2017-05-09) - Journal article
    The purpose of this paper is to advance our knowledge of two of the most classic and popular topics in transformation semigroups: automorphisms and the size of minimal generating sets. In order to do this, we examine the ...
  • Decision problems for word-hyperbolic semigroups 

    Cain, Alan James; Pfeiffer, Markus Johannes (2016-07-22) - Journal article
    This paper studies decision problems for semigroups that are word-hyperbolic in the sense of Duncan & Gilman. A fundamental investigation reveals that the natural definition of a `word-hyperbolic structure' has to be ...
  • Between primitive and 2-transitive : synchronization and its friends 

    Araújo, João; Cameron, Peter Jephson; Steinberg, Benjamin (2017-06-15) - Journal article
    An automaton (consisting of a finite set of states with given transitions) is said to be synchronizing if there is a word in the transitions which sends all states of the automaton to a single state. Research on this topic ...
  • Algorithms for detecting dependencies and rigid subsystems for CAD 

    Farre, James; Kleinschmidt, Helena; Sidman, Jessica; John, Audrey St.; Stark, Stephanie; Theran, Louis; Yu, Xilin (2016-10-01) - Journal article
    Automated approaches for detecting dependencies in structures created with Computer Aided Design software are critical for developing robust solvers and providing informative user feedback. We model a set of geometric ...

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