+44 1865 615306
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
I am interested in investigating numerical methods for quantum systems described by a range of equations such as the linear, nonlinear and stochastic versions of the Schrödinger equation, and related equations such as the Pauli, Dirac and Klein–Gordon equations. I am currently working with Lie algebraic techniques such as the Magnus expansion and Zassenhaus splittings, whose combination is very effective for the simulation of equations with time-varying fields and holds great promise for control of quantum systems.
Prizes, Awards, and Scholarships:
2012–2015 King's College Studentship, King's College, Cambridge, UK.
2009 E. M. Burnett Prize for Distinction in Part III Maths, Hughes Hall, Cambridge, UK.
Major / Recent Publications:
2016 Bader, P., Iserles, A., Kropielnicka, K. and Singh, P. “Efficient methods for time-dependence in semiclassical Schrödinger equations". Proc. R. Soc. A, 472.
2015 Singh, P. “Algebraic theory for higher-order methods in computational quantum mechanics", arXiv:1510.06896 [math.NA].
2014 Bader, P., Iserles, A., Kropielnicka, K. and Singh, P. “Effective approximation for the semiclassical Schrödinger equation". Foundations of Computational Mathematics, 14, 4, 689–720.