My research is organized into five thematic groups spanning gravitation and cosmology, complex systems and computational physics, quantum computing and AI/data science, mathematics, and broader interdisciplinary interests.
Primary research
I study Alcubierre-type warp-drive geometries and related exact solutions of Einstein’s equations, with particular attention to shift-vector formulations, matching to Minkowski spacetime, junction conditions, energy-momentum content, causal structure, fluid descriptions, and the geometric interpretation of bubble boundaries and caustic behaviour.
My work in general relativity concerns exact spacetime solutions, differential geometry, geodesic motion, black holes, wormholes, energy-momentum tensors, and classical or semiclassical fields in curved spacetime, including 3+1 methods and coordinate or geometric questions relevant to the physical interpretation of solutions of Einstein’s equations.
I investigate relativistic cosmological tests in which null geodesics and light-cone effects are treated explicitly, comparing standard and alternative cosmological models with observational relations and studying consequences for distance measures, source counts, and the description of large-scale structure.
Complex systems / computational research
My econophysics research addresses income and wealth distributions, inequality, business cycles, speculative bubbles, firm-size distributions and concentration, firm growth and failure, and market dynamics using statistical distributions, time-series analysis, empirical scaling relations, and quantitative economic data.
I study emergent behaviour in interacting systems through nonlinear dynamics, network science, stochastic processes, scaling relations, and agent-based models, with emphasis on how collective structure arises from local interactions across physical, social, and economic systems.
My computational-physics work combines numerical relativity, ordinary and partial differential equations, numerical analysis, symbolic computation, dynamical simulations, and scientific machine learning to study physical systems that require numerical experiments or computer-assisted derivations.
Quantum / AI / data research
I study quantum information, quantum algorithms, quantum simulation, and quantum machine learning, with emphasis on computational methods that can be tested on physically motivated models and on the interface between quantum systems, optimisation, and machine learning.
My work in AI and machine learning includes large language models, natural-language processing, recommendation systems, time-series modelling, retrieval-augmented generation, model evaluation, agentic and tool-based systems, and MLOps practices for taking models from reproducible experiments to monitored production workflows.
I use statistical modelling, causal inference, forecasting, optimisation, experimentation, and decision-oriented analytics to extract interpretable structure from observational and operational data and to develop predictive or prescriptive systems for scientific and industrial applications.
Mathematical research
My applied-mathematics interests include linear and nonlinear optimisation, ordinary and partial differential equations, Lie symmetries of differential equations, numerical analysis, operations research, and mathematical modelling of scientific or decision problems requiring analytical and computational methods.
I work on mathematical inequalities and extremal problems, including sharp product bounds and real-rooted polynomials, together with problems in analytic number theory, algebra, mathematical analysis, and geometry where structural properties can be converted into rigorous global bounds or invariance statements.
Broader interests
I am interested in physics and mathematics education through programming, simulations, computational examples, and reproducible scientific workflows that make mathematical reasoning and numerical methods more transparent.
I explore quantitative descriptions of collective human behaviour, social networks, population dynamics, and socioeconomic systems using ideas from statistical physics, network science, and dynamical systems.
My broader foundational interests concern the relation between mathematical structure, physical interpretation, observation, scientific realism, and the conceptual status of space, time, and models in physics.