My original background was in Computer Science, where I spent 10 years (including experience in the industry), before moving to the world of Mathematics. My research interests have broadly evolved at the intersection of these two fields.
My current interests lie at the intersection of Computational Methods, Numerical Analysis and Quantum Mechanics.
Numerical Methods for Evolutionary Equations (PDEs, ODEs, SDEs),
Simulation of Quantum Systems (Spins, NMR, Atomic & Molecular Systems), Optimal Control and Design, Convergence Analysis.
Splitting and Composition Methods, Krylov Subspace Methods, Deep Learning, Numerical Optimization, Lie Group Methods, Geometric Numerical Integration
Quantum Computing, Nuclear Magnetic Resonance (NMR/MRI), Laser matter interaction, Fibre optics, Photovoltaic cells.
Proof Systems and Formal Verification, Programming Language Design, Geometric Computer Vision.