Pranav Singh
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Personal profile

Research interests

I am a Lecturer (Assistant Professor) in Mathematics. 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.


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.

Techniques:

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

Applications:

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

Previous interests:

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

For more details, please visit my personal website.

Expertise related to UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):

  • SDG 7 - Affordable and Clean Energy

Education/Academic qualification

Applied Mathematics, Doctor of Philosophy, University of Cambridge

17 Jan 201230 Sep 2016

Award Date: 28 Apr 2018

Applied Mathematics, Master of Advanced Studies (MASt or Part III), University of Cambridge

1 Oct 200830 Jun 2009

Computer Science and Engineering, BTech & MTech, Indian Institute of Technology Delhi

1 Jul 200030 Jun 2005

External positions

Junior Research Fellow in Mathematics, University of Oxford

1 Oct 20161 Sep 2019

Keywords

  • Numerical Analysis
  • PDEs
  • Quantum Mechanics
  • Optimal Control
  • Deep Learning
  • Krylov Subspace Methods
  • Geometric Numerical Integration

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