Projects per year
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):
Education/Academic qualification
Applied Mathematics, Doctor of Philosophy, High accuracy computational methods for the semiclassical Schrödinger equation, University of Cambridge
17 Jan 2012 → 30 Sept 2016
Award Date: 28 Apr 2018
Applied Mathematics, Master of Advanced Studies (MASt or Part III), University of Cambridge
1 Oct 2008 → 30 Jun 2009
Computer Science and Engineering, BTech & MTech, Indian Institute of Technology Delhi
1 Jul 2000 → 30 Jun 2005
External positions
Junior Research Fellow in Mathematics, University of Oxford
1 Oct 2016 → 1 Sept 2019
Keywords
- Numerical Analysis
- PDEs
- Quantum Mechanics
- Optimal Control
- Deep Learning
- Krylov Subspace Methods
- Geometric Numerical Integration
Fingerprint
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Network
Projects
- 3 Finished
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HIMR Small Grant - Computational Mathematics for Quantum Technologies Workshop
Heilbronn Institute for Mathematical Research
1/08/22 → 6/08/22
Project: UK charity
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ICMS Strategic Workshop - Advances in N-body Computations, Oxford
5/04/22 → 4/05/22
Project: UK charity
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LMS Scheme 6 - Advances in N body Computations Workshop, Oxford
16/03/22 → 30/04/22
Project: UK charity
Research output
- 13 Article
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Adaptive optimal control of entangled qubits
Goodwin, D. L., Singh, P. & Foroozandeh, M., 7 Dec 2022, In: Science Advances. 8, 49, p. eabq4244 eabq4244.Research output: Contribution to journal › Article › peer-review
Open Access1 Citation (SciVal) -
Efficient Magnus-type integrators for solar energy conversion in Hubbard models
Auzinger, W., Dubois, J., Held, K., Hofstätter, H., Jawecki, T., Kauch, A., Koch, O., Kropielnicka, K., Singh, P. & Watzenböck, C., 31 Jan 2022, In: Journal of Computational Mathematics and Data Science. 2, 100018.Research output: Contribution to journal › Article › peer-review
Open AccessFile6 Downloads (Pure) -
Optimal Control of Spins by Analytical Lie Algebraic Derivatives
Foroozandeh, M. & Singh, P., 31 Jul 2021, In: Automatica. 129, 109611.Research output: Contribution to journal › Article › peer-review
Open AccessFile3 Citations (SciVal) -
Compact schemes for laser–matter interaction in Schrödinger equation based on effective splittings of Magnus expansion
Iserles, A., Kropielnicka, K. & Singh, P., 1 Jan 2019, In: Computer Physics Communications. 234, p. 195-201 7 p.Research output: Contribution to journal › Article › peer-review
Open Access6 Citations (SciVal) -
Sixth-order schemes for laser-matter interaction in the Schrödinger equation
Singh, P., 21 Apr 2019, In: Journal of Chemical Physics. 150, 15, 154111.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (SciVal)23 Downloads (Pure)