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Research Interests Click on the link to my ORCID page for details...

∮ ELECTROMAGNETIC SCATTERING
complex domains | diffraction integrals | boundary integral equations | boundary element methods

∮ MATHEMATICAL FLUID DYNAMICS
Eulerlets | Oseenlets | boundary integral formulations

∮ GENERAL RELATIVITY
further development and applications of MOND

∮ DYNAMICAL SYSTEMS
maps & flows | fractal basin boundaries | chaotic scattering | Julia sets | entropy

∮ DISCRETE NONLINEAR EQUATIONS
discrete NLS | Ablowitz-Ladik | Salerno | spontaneous pattern formation | ring cavities | counterpropagating waves

∮ NONLINEAR WAVES
solitons | similaritons | rogue waves | vector solitons | pseudorelativistic Ginzburg-Landau equations

∮ UNSTABLE RESONATORS
applications of 2D virtual source theory | fractal feedback-mirror boundary conditions
Teaching and Learning BSc Physics / BSc Mathematics
Current lecture courses (80 credits taught):
PHYSICS LABORATORY 3 (Physics, Level 6, 20/20 credits),
QUANTUM PHYSICS (Physics, Level 5, 10/20 credits),
WAVES & OPTICS (Physics, Level 5, 10/20 credits),
DYNAMICAL SYSTEMS (Mathematics, Level 5, 20/20 credits),
MECHANICS & VECTOR CALCULUS (Mathematics, Level 4, (20/20 credits).

Supervisor for final-year undergraduate (Physics and Mathematics BSc), Masters (MSc/MRes/MPhil), and PhD projects.

Previous lecture courses (BSc & MPhys):
ADVANCED QUANTUM MECHANICS (Level 7, 2021–2024),
PHOTONICS & NANOTECHNOLOGY (Level 6, 2013–2025),
THEORETICAL PHYSICS (Level 6, 2014–2022),
RELATIVITY (Level 6, 2009–2014),
THEORETICAL PHYSICS II (Level 6, 2006–2013),
CLASSICAL & QUANTUM WAVES (Level 5, 2017-2021),
COMPUTER SIMULATION (Level 5, 2008–2013),
FUNDAMENTALS OF PHYSICS C (Level 4, 2017–2019),
MATHS & COMPUTING (Level 4, 2011–2017),
FOUNDATION IT & STUDY SKILLS (Level 3, 2021–2023).