PhD Studentship: Universality in Random Growth Processes

Title: Universality in random growth processes
Application deadline: All year round
Research theme: Probability, Stochastic Processes

To apply please click on the 'Apply' button above.

This 3.5 year project is funded for home and overseas students; your tuition fees will be and you will receive an annual tax-free stipend set at the UKRI rate (£19,237 for 2024/25). This is likely to increase each year.

The Kardar-Parisi-Zhang (KPZ) universality class is a collection of models that includes the random growth of a surface over time or the behaviour of a large number of particles that move around in space and interact with each other according to specified rules. A striking fact is that these systems can share common behaviour even when the local rules governing their dynamics are significantly different. This is an example of universality, an important concept within physics, chemistry and biology, but one that lacks a full mathematical understanding. 

This project will tackle questions relating to universality within the KPZ class of models. Some useful background for candidates would include continuous-time stochastic processes, martingales, Brownian motion.

Applicants should have, or expect to achieve, at least a 2.1 honours degree or a master’s (or international equivalent) in a relevant science or engineering related discipline.

We strongly recommend that you contact the supervisor, Dr william.fitzgerald@manchester.ac.uk, before you apply. Please include details of your current level of study, academic background and any relevant experience and include a paragraph about your motivation to study this PhD project, plus your CV.

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