Research

My research is in geometric group theory. I am mainly interested in the theory of groups acting on CAT(0) cube complexes. Here are some of my papers:

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  • Relatively geometric actions on CAT(0) cube complexes. arXiv.
  • Relative cubulations and groups with a 2-sphere boundary. Published 2020 in Compositio Mathematica. Journal. arXiv.
  • Hierarchies for Relatively Hyperbolic Virtually Special Groups. Submitted. arXiv.
  • Taming the Hydra: the word problem and extreme integer compression, with Will Dison and Tim Riley. Published 2018 in International Journal of Algebra and Computation. DOI, arXiv paper
  • Ackermannian integer compression and the word problem for hydra groups, with Will Dison and Tim Riley. Version of the above submitted to a computer science conference. Published in LIPIcs. Leibniz International Proceedings in Informatics (2016). MR Link.
  • The ratio field of values, with Charles Johnson, Brian Lins and Ilya Spitkovsky. Published 2011 in Linear Algebra and its Applications. MR link.