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🎓 Applied Mathematics PhDs

Funded PhD: Breaking down barriers: A seascape-ecological framework to define connectivity in marine systems
University of Bristol Dr Hugo Harrison; Dr Fanny Monteiro; Dr Luisa Fontoura; Dr Mana Mbui 🎓 Applied Mathematics 🎓 Biophysics Deadline: 19 Apr 2026

Funded PhD at the University of Bristol developing modelling frameworks to understand connectivity and dispersal in marine ecosystems under changing environmental conditions.

Single-turbine scale quantification of wake turbulence
Loughborough University Prof Chris Keylock, Dr Yi Li, Prof Michele Guala 🎓 Aerospace Engineering 🎓 Applied Mathematics

This PhD quantifies single-turbine wake turbulence to improve understanding of flow physics, aerodynamic interactions, and impacts on downwind turbines, combining numerical simulation, data analysis, and model developme…

Long-term durability of polymeric composites in offshore wind energy applications: An integrated experimental and numerical study
Durham University Dr Zahur Ullah, Dr Stefan Szyniszewski 🎓 Aerospace Engineering 🎓 Applied Mathematics

This fully-funded PhD focuses on the long-term durability of fibre-reinforced polymer composites (FRPCs) in offshore wind turbine applications, combining experimental and computational approaches to predict degradation …

Modelling of subsea cable flow induced vibration effects in offshore wind farms
Durham University Dr Lian Gan, Prof James Gilbert, Prof William Coombs 🎓 Applied Mathematics 🎓 Engineering Mathematics

This fully-funded PhD investigates flow-induced vibrations (FIV) in subsea cables for offshore wind farms, developing robust numerical models to predict structural response under complex environmental loading and improv…

Modelling stroke progression and treatment in the brain
University of Bristol Prof Stephen Payne 🎓 Applied Mathematics 🎓 Biomedical Engineering

This PhD develops computational models to simulate stroke progression and treatment, incorporating individual patient factors to improve predictive accuracy and support targeted clinical interventions.

How does sleep affect your chance of brain disease?
University of Bristol Prof Stephen Payne 🎓 Applied Mathematics 🎓 Biomedical Engineering

This PhD develops the first multiscale mathematical model of sleep to study how individual sleep patterns influence lifetime brain health, including risks of diseases such as dementia.

Improving Defect Detection Reliability in Ultrasonic Testing through Artificial Intelligence
University of Strathclyde Dr Ehsan Mohseni, Dr Randika Vithanage 🎓 Acoustics 🎓 Applied Mathematics

This PhD project addresses the challenge of data interpretation in Phased Array Ultrasonic Testing (PAUT) by investigating how Artificial Intelligence (AI) and Machine Learning (ML) can improve the reliability and consi…

On-chip topological photonics
University of Southampton Dr Dongyang Wang 🎓 Applied Mathematics 🎓 Computational Physics

Funded PhD at University of Southampton developing on-chip topological photonic crystals on silicon for applications in imaging, sensing, and computing. Combines theoretical modelling, simulation, and cleanroom fabricat…

Non-Hermitian topological physics
University of Southampton Dr Dongyang Wang 🎓 Applied Mathematics 🎓 Computational Physics

Funded PhD at University of Southampton focusing on non-Hermitian topological physics, including exceptional points, skin effects, and topological phase transitions, combining theoretical modelling with electrical circu…

Topological photonic quasicrystals
University of Southampton Dr Dongyang Wang 🎓 Applied Mathematics 🎓 Computational Physics

Fully funded PhD at University of Southampton exploring topological photonic quasicrystals. Combines theory, numerical simulation, and experimental fabrication to design novel optical materials with robust, topology-pro…

Parameterising wakes for oceanographic models
Loughborough University Dr Charlie Lloyd, Prof Robert Dorrell, Dr Majid Bastankhah, Dr Michela De Dominicis 🎓 Applied Mathematics 🎓 Energy Technologies Deadline: 31 Mar 2026

PhD project focused on developing advanced parameterisations of offshore wind turbine wakes for oceanographic models, combining CFD simulations and marine modelling to understand environmental impacts of large-scale win…