I am an associate professor in the Maxwell Institute for Mathematical Sciences and the School of Mathematical and Computer Sciences, Heriot-Watt University. Before that, I was a Hooke Fellow in Mathematical Institute at the University of Oxford and a Fullford Junior Research Fellow in Somerville College. I obtained my PhD in Applied Mathematics in 2016 from King Abdullah University of Science and Technology, Saudi Arabia.

My research interests include: Uncertainty Quantification, ​Stochastic Differential Equation, Numerical methods for SDEs and PDEs, Multilevel Monte Carlo, Particle systems, Crowd modelling, Mean-field theory, Sparse Grids, Combination techniques, Multi-index techniques, Inverse problems, risk measures and adaptive sampling.

News

3-6 November 2025  Upcoming talk at Particles, Flows & Maps for Sampling Complex Distributions in Bernoulli Center, EPFL, Lausanne.
29 August 2025  Presented talk at Stochastic Numerics and Inverse Problems in Sweden in Linnaeus University, Växjö, titled: "Hierarchical Methods for Risk Assessment".
14-15 August 2025  Presented talk at Mathematics for Uncertainty Quantification Workshop in Aachen, Germany, titled: "Hierarchical Methods for Risk Assessment".
28 July 2025  Presented talk at International Conference on Monte Carlo Methods and Applications (MCM) in Chicago, USA, titled: "An Adaptive Sampling Scheme for Level-set Approximation".
17 July 2025  Paper published:  Weak convergence analysis of the McKean-Vlasov equations using stochastic flows of particle systems.
9 July 2025  Presented talk at Uncertainty Quantification for Dynamical Modelling in Edinburgh, UK, titled: "Multilevel Monte Carlo and Path Branching for Digital Options".
24-27 June 2025  Presented talk at The 30th Biennial Numerical Analysis Conference in University of Strathclyde, Glasgow, UK, titled: "Bayesian computation with generative diffusion models by Multilevel Monte Carlo".
18 June 2025  Presented talk at CfS Annual Conference 2025 in Edinburgh, UK, titled: "Bayesian computation with generative diffusion models by Multilevel Monte Carlo".
10-13 June 2025  Presented talk at Scientific Computing and Uncertainty Quantification in EPFL, titled: "The multi-index Monte Carlo method for semilinear stochastic partial differential equations".
27 May 2025  Paper published:  An antithetic multilevel Monte Carlo-Milstein scheme for stochastic partial differential equations with non-commutative noise.