Publications

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(2024). A characterisation of linear repetitivity for cut and project sets with general polytopal windows. Indagationes Mathematicae, Special Issue on Aperiodic Order in honor of Uwe Grimm.

DOI arXiv

(2024). Self-similarity and limit spaces of substitution tiling semigroups. Groups, Geometry and Dynamics (to appear).

arXiv

(2023). Spectral properties of substitutions on compact alphabets. Bulletin of the London Mathematical Society.

DOI arXiv

(2022). Cut and project sets with polytopal window II: linear repetitivity. Transactions of the AMS.

DOI arXiv

(2021). An aperiodic tile with edge-to-edge orientational matching rules. Journal of the Institute of Mathematics of Jussieu.

DOI arXiv

(2021). Aperiodicity, rotational tiling spaces and topological space groups. Advances in Mathematics.

DOI arXiv

(2020). Cut and project sets with polytopal window I: Complexity. Ergodic Theory and Dynamical Systems.

DOI arXiv

(2018). A characterization of linearly repetitive cut and project sets. Nonlinearity.

DOI arXiv

(2018). Perfectly ordered quasicrystals and the Littlewood conjecture. Transactions of the American Mathematical Society.

DOI arXiv

(2018). Statistics of patterns in typical cut and project sets. Ergodic Theory and Dynamical Systems.

DOI arXiv

(2017). Pattern-equivariant homology. Algebraic & Geometric Topology.

DOI arXiv

(2017). Cohomology of rotational tiling spaces. Bulletin of the London Mathematical Society.

DOI arXiv

(2016). Gaps problems and frequencies of patches in cut and project sets. Mathematical Proceedings of the Cambridge Philosophical Society.

DOI arXiv

Preprints

arXiv

Recent & Upcoming Talks

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Aperiodically ordered patterns provide interesting examples of dynamical systems as well as models for physical quasicrystals. Most …
2024-04-25 University of Bristol

The two main methods of constructing aperiodically ordered patterns are by substitution and the cut and project method. Many …
2024-03-26 University of Derby

In this talk I will introduce the theory of Aperiodic Order by showcasing some standard examples of aperiodic tilings, giving a brief …
2023-11-20 University of Manchester

Summary for Oberwolfach Reports:

The first nonperiodic tile set was discovered by Berger in 1966, in his resolution of Wang’s …

2023-08-31 MFO, Oberwolfach

Academic employment and education

 
 
 
 
 

Assistant Professor

University of Nottingham, School of Mathematical Sciences

Sep 2023 – Present Nottingham, UK
 
 
 
 
 

Teaching Associate

University of Nottingham, School of Mathematical Sciences

Aug 2020 – Aug 2023 Nottingham, UK
 
 
 
 
 

Research Assistant

University of Glasgow, School of Mathematics & Statistics

Sep 2018 – Jul 2020 Glasgow, UK
 
 
 
 
 

Lecturer in Pure Mathematics

Durham University, Department of Mathematical Sciences

Feb 2017 – Aug 2018 Durham, UK
 
 
 
 
 

Research Associate

University of York, Department of Mathematics

Apr 2014 – Jan 2017 York, UK
 
 
 
 
 

Ph.D. in Mathematics

University of Leicester, Department of Mathematics

Sep 2010 – Apr 2014 Leicester, UK

Supervisors:

  • Prof. John Hunton
  • Prof. Alex Clark

Contact