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Publications:
Submitted:
 Equilibrium states on operator algebras associated to selfsimilar actions of groupoids on graphs
With Marcelo Laca, Iain Raeburn and Jacqui Ramagge
In press / published online:
 Wieler solenoids, CuntzPimsner algebras and Ktheory
With Robin Deeley , Magnus Goffeng and Bram Mesland
to appear in Ergodic Theory and Dynamical Systems.
In print:
 Ktheoretic duality for hyperbolic dynamical systems
With Jerry Kaminker and Ian F. Putnam
Journal für die Reine und Angewandte Mathematik, 730 (2017), 263299.
 ZappaSzép product groupoids and C*blends
With Nathan Brownlowe, David Pask, Jacqui Ramagge and Dave Robertson
Semigroup Forum, 94 (2017), 500519.
 Graph algebras and orbit equivalence
With Nathan Brownlowe and Toke Meier Carlsen
Ergodic Theory and Dynamical Systems, 37 (2017), 389417.
 Fractal spectral triples on Kellendonk's C*algebra of a substitution tiling
With Michael Mampusti
Journal of Geometry and Physics, 112 (2017), 224239.
 Dynamical correspondences for Smale spaces
With Robin Deeley and Brady Killough
New York Journal of Math, 22 (2016), 943988.
 Fractal dual substitution tilings
With Natalie Priebe Frank and Samuel Webster
Journal of Fractal Geometry, 3 (2016), 265317.
 Functorial properties of Putnam's homology theory for Smale spaces
With Robin Deeley and Brady Killough
Ergodic Theory and Dynamical Systems, 36 (2016), 14111440.
 Topological spaces associated to higherrank graphs
With Alex Kumjian, David Pask and Aidan Sims
Journal of Combinatorial Theory, Series A, 143 (2016), 1941.
 Twisted C*algebras associated to finitely aligned higherrank graphs
With Aidan Sims and Ben Whitehead
Documenta Mathematica, 19 (2014), 831866.
 Equilibrium states on the CuntzPimsner algebras of selfsimilar actions
With Marcelo Laca, Iain Raeburn and Jacqui Ramagge
The Journal of Functional Analysis, 266 (2014), 66196661.
 ZappaSzép products of semigroups and their C*algebras
With Nathan Brownlowe, Jacqui Ramagge, and Dave Robertson
The Journal of Functional Analysis, 266 (2014), 39373967.
 Cohomology of the Pinwheel tiling
With Dirk Frettlöh and Ben Whitehead
Journal of the Australian Math Society, 97 (2014), 162179.
 Spectral triples for hyperbolic dynamical systems
The Journal of Noncommutative Geometry, 7 (2013), 563582.
 A fractal version of the Pinwheel tiling
With Natalie Priebe Frank
The Mathematical Intelligencer, 33 (2011), 717.
 C*algebras of tilings with infinite rotational symmetry
The Journal of Operator Theory 64 (2010), 299319.
Theses:

Outreach presentations:
 Fun with fractals
Royal Institution of Great Britain Masterclass in Mathematics, November 2015.


