Pranav Singh

Pranav Singh

I am a Lecturer in Numerical Analysis and Scientific Computing at the Department of Mathematical Sciences, University of Bath. 

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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. 

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My current interests lie at the intersection of Computational Methods, Numerical Analysis and Quantum Mechanics.

Research Interests

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Current Interests:

Numerical Methods for Evolutionary Equations (PDEs, ODEs, SDEs),

Simulation of Quantum Systems (Spins, NMR, Atomic & Molecular Systems), Optimal Control and Design, Convergence Analysis.

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Techniques:

Splitting and Composition Methods, Krylov Subspace Methods, Deep Learning, Numerical Optimization, Lie Group Methods, Geometric Numerical Integration

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Applications:

Quantum Computing, Nuclear Magnetic Resonance (NMR/MRI), Laser matter interaction, Fibre optics, Photovoltaic cells.

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Previous interests:

Proof Systems and Formal Verification, Programming Language Design, Geometric Computer Vision.

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Academic Career

Industrial Experience