I am a Lecturer in Applied Mathematics at the University of Leicester. My research concerns the mathematics of wave propagation, with a particular interest in how geometry and material properties shape wave behaviour.
I combine rigorous analysis, asymptotic methods and numerical computation to study problems motivated by acoustics, electromagnetism and elasticity. My interests include partial differential equations, spectral theory, scattering and resonance, and nonlocal models.
KeywordsWave propagation · Spectral theory · Boundary integral equations · Asymptotic analysis · Nonlocal models · Plasmonics
My work connects the analysis of partial differential equations and integral operators with problems in wave physics, particularly plasmonics and resonant structures.
I investigate spatially dispersive media, where the response at a point depends on the field in a surrounding region. A central interest is how nonlocality changes plasmonic spectra, surface modes and the behaviour of fields near sharp geometries.
I study the spectra of boundary integral operators and their connection to resonances. Recent work uses block-Toeplitz operators and Wiener–Hopf methods to analyse self-similar chains and geometries with an accumulation point.
I develop reduced models that retain the essential physics of wave problems. Examples include slender-body theories for metallic nanoparticles and nanometallic rings, linking geometry to resonant frequencies and electromagnetic response.
American Mathematical Society · Mathematical Surveys and Monographs, Vol. 235 (2018)
arXiv:2608.30991 (2026)
A block-Toeplitz representation connects the geometry of infinite self-similar chains with the essential spectrum of the Neumann–Poincaré operator. Wiener–Hopf factorisation and Szegő-type results describe isolated eigenvalues and large finite truncations.
arXiv:2604.18461 (2026)
A boundary integral formulation of the quasi-static hydrodynamic Drude model gives a rigorous account of nonlocal plasmonic resonances. Nonlocality changes the spectral structure, leaves only finitely many surface modes and regularises the singular behaviour associated with corners.
Physical Review B 105, 125412 (2022)
An asymptotic reduction turns the three-dimensional plasmonic eigenvalue problem for slender rings into a one-dimensional periodic problem. The model describes individual rings and coupled structures, including coaxial dimers and chains.
Proceedings of the Royal Society A 475, 20190294 (2019)
Matched asymptotic expansions produce an effective one-dimensional eigenvalue problem for slender metallic nanoparticles. The theory explains how particle shape controls surface-plasmon modes and near-infrared resonances.
Journal de Mathématiques Pures et Appliquées 122, 23–48 (2019)
SIAM Journal on Imaging Sciences 11(3), 1931–1953 (2018)
SIAM Journal on Numerical Analysis 56(4), 2029–2044 (2018)
Multiscale Modeling & Simulation 16(1), 356–384 (2018)
SIAM Journal on Imaging Sciences 11(1), 1–23 (2018)
Archive for Rational Mechanics and Analysis 224(2), 597–658 (2017)
Proceedings of the Royal Society A 472, 20160445 (2016)
Journal of Differential Equations 261(6), 3615–3669 (2016)
Imaging and Applied Optics 2016 · OSA Technical Digest · Mathematics in Imaging · Paper MW1G.4
2015 European Radar Conference (EuRAD), 41–44
2015 16th International Radar Symposium (IRS), 422–427
Isaac Newton Institute, Cambridge · Aug 2026 · Invited
Spectral theory of nonlocal plasmonic resonances
University of Leicester · Jun 2025 · Contributed
CIRM, Marseille · Jun 2024 · Contributed
Online · Feb 2024 · Invited
Aix-Marseille Université, Marseille · Dec 2023 · Invited
ENSTA Paris, Palaiseau · Jul 2022 · Contributed
Imperial College London · Apr 2022 · Invited
Karlsruhe Institute of Technology · Feb 2022 · Invited
I teach at the University of Leicester and the Dalian Leicester Institute. My teaching has included computing, statistical inference and linear statistical models.
As PGR Tutor for Mathematics, I support doctoral students through induction and progression. I also represent Leicester in MAGIC, the consortium providing online postgraduate mathematics courses.
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I am happy to supervise PhD students. Please get in touch if you are interested.