Department of Mathematical Sciences

Opportunities

Interested in doing a PhD in mathematical sciences at Bath? There are many ways to join our excellent and welcoming department.

4-year SAMBa PhD Studentships

We are now accepting applications for the 2018 intake to our EPSRC Centre for Doctoral Training in Statistical Applied Mathematics. For more information look at our How to Apply page. Apply early as the application process is competitive. 

Project-specific Studentships

Dynamics and Stability of Interaction Networks in Uncertain Environments

Supervisors: Tim Rogers and George Constable

Starting September 2018 or before.

How can we reason precisely about complex biological systems whose environments are not well understood? Mathematically, the project will involve the synthesis of two disparate bodies of theory – stochastic dynamical systems and random matrix theory. It will explore the application of this theory to ecological interaction networks, subject to fluctuating environmental inputs.

Bayesian inference for low-resolution Nuclear Magnetic Resonance (NMR) in porous media

Supervisors: Silvia Gazzola, Tony Shardlow in collaboration with Schlumberger.

Starting October 2018 or before.

This research project aims to surpass the current standard inference methodology by providing uncertainty estimates alongside state estimates in an efficient manner and to develop the technique for shales. This will be achieved through reformulating the problem in a Bayesian framework and applying tools from numerical linear algebra.

Find out more about this project.

On-line drill system parameter estimation and hazardous event detection

Supervisors: Kari Heine, Mark Opmeer, Rob Scheichl in collaboration with Schlumberger.

Starting October 2018 or before.

The project aims to develop statistical methods for automatic detection of hazardous events in oil and gas drilling operations, beginning within simple models and moving to more complex scenarios. The scope of the project includes developing surrogate models, using computational methods and Bayesian approaches to estimate system parameters, studying methods for hazardous event detection, and then using multilevel inference to develop an algorithm that brings all the results together.

Find out more about this project.

Stochastic mixing in many-particle systems

Supervisors: Kit Yates and Tim Rogers in collaboration with Syngenta.

Starting October 2018 or before.

Tackling this project will require the development of individual-based stochastic models for individual seed motion, and derivation of macro-scale partial differential equations for fluid-like flow of the bulk. In order to enable optimisation of the process, ultimately, these disparate modelling regimes must be coupled to each other and further to a stochastic model for the spread of coating. Each of these steps is mathematically significant, allowing the project student to develop expertise in cutting-edge techniques across applied mathematics and probability.

Reinforced stochastic processes: theory and applications

Supervisor: Cécile Mailler

Starting October 2018 or before.

This project is a discrete probability project on reinforced stochastic processes. The main focus of the project is Pólya urns, which are the building-blocks of all reinforced processes, and in particular on very recent generalisations of this model: the infinitely-many-colour case and the multi-drawing case. The objective of the student will be two-fold: proving fundamental results about these models and applying these results to other areas of discrete probability, particularly random trees.

Find out more about this project.

Modelling of Spatio-temporal disease rates using age-period-cohort methods

Supervisor: Theresa Smith

Starting October 2018 or before.

This project will extend age-period-cohort (APC) methods by incorporating models for geographic differences in risk and developing tools to forecast the future burden of disease. In key areas such as healthcare, predicting demographic and disease rates for small administrative regions is central to planning the distribution of resources. APC models are statistically challenging because there is a structural link in the three time scales (age at diagnosis + year of birth = year of diagnosis). Recent research addressed this challenge for simple scenarios, and we will adapt this to spatial data by introducing new computational tools and model selection techniques.

Find out more about this project.

PhD Studentships for students from China

Our new joint programme with China Scholarship Council (CSC) seeks PhD candidates from China. Interested applicants are invited to read about our programme and apply online.

Please specify that you are interested in applying for CSC funding in the application form. Read more details about the scholarship programme.

Deadline: 22 January 2018

The Mickey Ko scholarship could also be an option for talented Chinese applicants without the means to support themselves.

PhD Studentships for students from Paraguay

Our new agreement with Paraguay’s BECAL Programme seeks PhD candidates from Paraguay. Interested applicants are invited to read about our programme and apply online.

Please specify that you are interested in applying for BECAL funding in the application form. Read more details about the scholarship programme.

Deadline: 15 February 2018