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Publications:


Submitted:

  1. Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs
    With Marcelo Laca, Iain Raeburn and Jacqui Ramagge

In press / published online:

  1. Wieler solenoids, Cuntz-Pimsner algebras and K-theory
    With Robin Deeley , Magnus Goffeng and Bram Mesland
  2. to appear in Ergodic Theory and Dynamical Systems.

In print:

  1. K-theoretic duality for hyperbolic dynamical systems
    With Jerry Kaminker and Ian F. Putnam
  2. Journal für die Reine und Angewandte Mathematik, 730 (2017), 263-299.
  1. Zappa-Szép product groupoids and C*-blends
    With Nathan Brownlowe, David Pask, Jacqui Ramagge and Dave Robertson
  2. Semigroup Forum, 94 (2017), 500-519.
  1. Graph algebras and orbit equivalence
    With Nathan Brownlowe and Toke Meier Carlsen
  2. Ergodic Theory and Dynamical Systems, 37 (2017), 389-417.
  1. Fractal spectral triples on Kellendonk's C*-algebra of a substitution tiling
    With Michael Mampusti
  2. Journal of Geometry and Physics, 112 (2017), 224-239.
  1. Dynamical correspondences for Smale spaces
    With Robin Deeley and Brady Killough
  2. New York Journal of Math, 22 (2016), 943-988.
  1. Fractal dual substitution tilings
    With Natalie Priebe Frank and Samuel Webster
  2. Journal of Fractal Geometry, 3 (2016), 265-317.
  1. Functorial properties of Putnam's homology theory for Smale spaces
    With Robin Deeley and Brady Killough
  2. Ergodic Theory and Dynamical Systems, 36 (2016), 1411-1440.
  1. Topological spaces associated to higher-rank graphs
    With Alex Kumjian, David Pask and Aidan Sims
  2. Journal of Combinatorial Theory, Series A, 143 (2016), 19-41.
  1. Twisted C*-algebras associated to finitely aligned higher-rank graphs
    With Aidan Sims and Ben Whitehead
  2. Documenta Mathematica, 19 (2014), 831-866.
  1. Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions
    With Marcelo Laca, Iain Raeburn and Jacqui Ramagge
  2. The Journal of Functional Analysis, 266 (2014), 6619-6661.
  1. Zappa-Szép products of semigroups and their C*-algebras
    With Nathan Brownlowe, Jacqui Ramagge, and Dave Robertson
  2. The Journal of Functional Analysis, 266 (2014), 3937-3967.
  1. Cohomology of the Pinwheel tiling
    With Dirk Frettlöh and Ben Whitehead
  2. Journal of the Australian Math Society, 97 (2014), 162-179.
  1. Spectral triples for hyperbolic dynamical systems
    The Journal of Noncommutative Geometry, 7 (2013), 563-582.
  1. A fractal version of the Pinwheel tiling
    With Natalie Priebe Frank
  2. The Mathematical Intelligencer, 33 (2011), 7-17.
  1. C*-algebras of tilings with infinite rotational symmetry
    The Journal of Operator Theory 64 (2010), 299-319.

Theses:


Selected presentations:

Outreach presentations:

  • Fun with fractals
    Royal Institution of Great Britain Masterclass in Mathematics, November 2015.