Research

Research

Research themes, methods, and selected outputs across theoretical physics, stochastic simulation, and computational modelling.

Research Profile

The research programme in one view.

My research background is rooted in theoretical physics, with work on alternative gravity and cosmology, relativistic dynamics, and mathematically intensive models built from first principles.

Computational methods are not separate from that work. Numerical simulation, Monte Carlo methods, uncertainty analysis, and time-series modelling all play a role in testing, clarifying, and communicating physical systems.

Research Themes

Thematic areas.

Each theme is grounded in work that appears elsewhere on the site as a project, thesis, or technical output.

Alternative gravity and cosmology.

My master's research focused on defining and analysing alternative gravity and cosmology models through differential geometry, PDE structure, and numerical simulation.

Focus

  • DBI, Cuscuton, and Bimetric theories
  • Differential geometry and PDE structure
  • Numerical testing of theoretical predictions

Methods

Differential geometry PDEs Numerical simulation

Relativistic dynamics near black holes.

My final-year BSc project analysed particle motion near black holes across Schwarzschild and Kerr backgrounds, deriving relativistic geodesic equations and studying strong-gravity trajectories in the context of dark-matter interactions.

Focus

  • Geodesic motion in Schwarzschild and Kerr spacetimes
  • ODE/PDE solutions for strong-gravity trajectories
  • Interpretation of dynamics across distinct regimes

Methods

Relativity Geodesics ODE/PDE analysis

Monte Carlo radiation transport.

My X-ray transport work used Monte Carlo methods to model photon generation, photon-matter interactions, absorption in material layers, and statistical error in stochastic simulations, with Compton scattering as a further extension.

Focus

  • Acceptance-rejection sampling of photon spectra
  • Attenuation lengths and material absorption
  • Statistical error and convergence behaviour

Methods

Monte Carlo Photon transport Statistical modelling

Uncertainty analysis and data-driven systems.

Work at the National Physical Laboratory and in personal forecasting projects focused on complex measurement chains, uncertainty propagation, long time series, and transparent comparison of predictive models.

Focus

  • Uncertainty trees and end-to-end measurement workflows
  • Satellite radar altimetry re-tracking
  • Forecasting with baseline, ETS, and ARIMA models

Methods

Uncertainty analysis Time series Forecasting

Representative Problems

Research problems and modelling tasks.

  • Defining and analysing alternative gravity and cosmology models through geometry, PDEs, and simulation.
  • Solving relativistic motion problems in strong-gravity regimes and interpreting trajectory structure.
  • Simulating photon-matter interactions with Monte Carlo methods, attenuation data, and stochastic error analysis.
  • Tracing uncertainty propagation through complex measurement chains and comparing predictive models on structured datasets.

Methods

Analytical and technical tools.

Theory

Quantum field theory, quantum electrodynamics, differential geometry, relativity, cosmology, and group theory.

Mathematics

Probability, stochastic calculus, advanced linear algebra, tensor calculus, optimisation, and error propagation.

Computation

Python, C++, C, Monte Carlo simulation, time-series analysis, data visualisation, Jupyter, and Linux workflows.

Documentation

Jupyter Book, technical reports, equations, diagrams, presentations, and structured LaTeX-based writeups.

Research Context

Academic and institutional setting.

The research profile on this site was built across degree work at Imperial College London and Royal Holloway, University of London, together with measurement and modelling work at the National Physical Laboratory.

Imperial College London

MSc research on DBI, Cuscuton, and Bimetric theories, with a strong mathematical emphasis.

Royal Holloway

Black-hole dynamics, X-ray Monte Carlo simulation, and technically focused physics presentations.

National Physical Laboratory

Python-based uncertainty modelling for satellite radar altimetry and structured technical reporting.

Selected Outputs

Research outputs and major academic projects.

Selected thesis work, major projects, and research-facing outputs.

MSc thesis / 2024-2025

Pursuit of Time in DBI, Cuscuton & Bimetric Theories.

Independent research project on alternative gravity and cosmology models, combining geometry, PDEs, and numerical simulation to test theoretical structure.

Final-year project / 2023-2024

Particle Motion Near Black Holes: Schwarzschild, Kerr and beyond.

Analysis of relativistic particle trajectories in strong-gravity fields through derived geodesic equations and computational study of motion across different regimes.

Simulation project / 2023-2024

Monte Carlo Simulation of X-ray Photon Transport.

Stochastic simulation of photon generation, transport, and interaction with material layers, including absorption and statistical error analysis.

Research project / Jun-Aug 2023

Satellite Radar Altimetry Uncertainty Analysis Platform.

Interactive Python-based work on uncertainty propagation, measurement chains, and reusable reporting tools for radar altimetry re-tracking.