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
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Exact dimensionality and projection properties of Gaussian multiplicative chaos measures
(2018-12-12) - Journal articleGiven 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)
(2018-12-03) - Journal articleThis 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 ... -
Computational techniques in finite semigroup theory
(University of St Andrews, 2019-06-25) - ThesisA semigroup is simply a set with an associative binary operation; computational semigroup theory is the branch of mathematics concerned with developing techniques for computing with semigroups, as well as investigating ... -
Some isomorphism results for Thompson-like groups Vn(G)
(2017-11-08) - Journal articleWe 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
(2018-01-15) - Journal articleWe 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 ...
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