Research covers key areas of probability and stochastic analysis. This reaches from the study of stochastic (partial) differential equations, regularisation by noise, rough paths, and theoretical and practical study of related numerical methods to random growth models, random graphs, scaling limits, and statistical physics. There are strong connections to analysis, financial mathematics and statistics.

This is a strong and active area of research. There are many collaborations and interactions between researchers across these areas, both at Leeds and externally, and there is a thriving community of PhD students, as well as regular seminars and reading groups in Probability and Financial Mathematics.

We are delighted to offer a fully funded PhD studentship and applications are invited from strongly motivated and academically excellent candidates for PhD study in our Statistics department, within these strategic priority Research areas:

·      Group testing, information theory, discrete probability

·      Monte carlo methods, variance reduction techniques, rare event simulations, stochastic numerics, uncertainty quantification

·      Statistical physics

·      Stochastic analysis, stochastic (partial) differential equations, regularization by noise, stochastic numerics, rough paths

·      Random geometric graphs, multi-scale analysis, stochastic geometry, statistical mechanics

·      Rough stochastic analysis, stochastic (partial) differential equations, stochastic numerics

·      Statistical mechanics, classical and quantum spin systems, quantum computing

·      Random growth models, scaling limits of stochastic models, complex analysis, mathematical physics

·      Monte carlo methods in high/infinite dimensions

Please visit our website find out more about these research areas and eligible academic supervisors including how to contact them directly.