Pure Mathematics Research
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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(2018-07-26) - Journal articleWe prove that every finitely-generated right-angled Artin group can be embedded into some Brin-Thompson group nV. It follows that many other groups can be embedded into some nV (e.g., any finite extension of any of Haglund ...
(2014-03) - Journal articleWe show that a two-dimensional fractional multiplicative process has a uniform Hausdorff dimension result if and only if the two parameters of the process coincide.
(2017-11) - Journal item
(2018-01) - Journal articleWe consider strong external difference families (SEDFs); these are external difference families satisfying additional conditions on the patterns of external differences that occur, and were first defined in the context of ...