Personal Statement
I studied at the University of Liverpool through undergraduate to PhD level, where my research focused on the surface science of quasicrystals. Following a postdoctoral position at the Tokyo University of Science, I returned to the UK to take up an EPSRC Open Research Fellowship.

My interest in aperiodic geometry grew directly out of my PhD work. The mathematical structure underlying quasicrystal structure - the tilings, symmetry, and how order and aperiodicity coexist - became my focal point, and now forms the core of my research programme. Whenever I can, I try to incorporate my research work into creative avenues, usually through digital media.

I am neurodivergent, and suspect this is not unrelated to my fixation on aperiodic patterns.

Research Overview
I am an EPSRC Open Research Fellow (EP/X011984/1), working at the intersection of mathematical geometry and applied physics. My research focuses on the development of novel aperiodic geometries — structures that lack the translational periodicity of conventional crystals — with a particular emphasis on low-symmetry systems and their practical applications.

A central strand of my work concerns the integration of aperiodic and periodic geometries. In a recent sole-authored study, I established a robust theoretical framework in which aperiodic and periodic structures commensurately coexist, opening an entirely new family of geometries for exploration across mathematics and the physical sciences (DOI: 10.1088/1751-8121/addb93). This represents a significant conceptual advance: rather than treating periodicity and aperiodicity as mutually exclusive, the framework reveals a rich intermediate landscape with direct application potential.

Complementing this, I have introduced a new family of aperiodic tilings with octagonal symmetry whose higher-order geometry closely resembles low-symmetry crystallites (DOI: 10.48550/arXiv.2502.04133). This work bridges abstract tiling theory and the structural reality of real materials, with implications for the design of quasicrystalline and aperiodic systems in solid-state physics.

Across both threads, the unifying ambition is application-driven: to translate the mathematical richness of aperiodic geometry into physically realisable structures with novel and useful properties.