PhD Opportunities in United Kingdom

The University of Leeds School of Mathematics is recruiting the 2027 cohort for its EPSRC Centre for Doctoral Training in Future Fluid Dynamics. The programme is designed for students who want to use fluid dynamics to tackle real-world challenges through advanced mathematical and research training. This is an integrated four-year MSc + PhD pathway combining postgraduate study with doctoral research. Students will develop expertise in future fluid dynamics while benefiting from bespoke training a...

The University of East Anglia is offering a PhD project on nonlinear waves on liquid cylinders , with applications of mathematical and numerical techniques to fluid mechanics and interfacial flows. The research begins with inviscid liquid jets subject to surface tension in the absence of gravity. These systems exhibit the classical Rayleigh–Plateau instability under long-wave perturbations. When vorticity and swirl are included, theoretical work has identified nonlinear travelling-wave solutions...

PhD opportunity in quantitative cardiovascular imaging and artificial intelligence at the University of Cambridge, within Team Dewey’s research environment. The opportunity is aimed at research in quantitative cardiovascular imaging, cardiac imaging and AI, with a strong focus on interdisciplinary work and better patient outcomes. The project context is connected to a doctoral training centre funded by the British Heart Foundation and involving the University of Cambridge, the University of Edin...

Fully funded PhD opportunity in precision medicine and health inequalities at the Health Economics and Health Technology Assessment (HEHTA) unit, University of Glasgow. The project will analyse individual participant data from major UK clinical trials to investigate how preventive and treatment strategies can be better targeted. The research aims to improve health outcomes while reducing inequalities, bringing together precision medicine, causal inference, statistics, epidemiology and health eco...

The University of East Anglia is offering a PhD project at its Norwich campus on formalising the local Langlands correspondence for GL₂(F) in the Lean interactive theorem prover. The research sits at the intersection of number theory, representation theory, formal mathematics, and computer-verified proof . The project will begin by formalising the sophisticated mathematical structures needed to state the local Langlands correspondence. One part will address the representation theory of GL₂(F), w...

The University of East Anglia is offering a PhD project in categorification and the Local Langlands Correspondence , based in Norwich, United Kingdom, with a start date of 1 February 2027. The research is situated in the representation theory of p-adic groups, an area closely connected with number theory and the Local Langlands Correspondence. The project will examine representations with coefficients in different rings or fields and the derived structures of categories arising on the two sides ...

The University of Birmingham is offering a PhD studentship examining the physics of learning in robotic metamaterials , at the intersection of robotics, soft matter physics, mechanical engineering, applied mathematics and materials science. The project investigates active mechanical metamaterials and distributed robotic systems: networks of sensors and actuators that communicate locally to produce collective functionality. Inspired by living systems such as starfish and bacteria, these mechanica...

The University of East Anglia’s School of Computing Sciences is offering a PhD studentship at the intersection of computer graphics and generative AI. The project investigates how agentic AI systems can design, build and refine interactive 3D games and virtual worlds from high-level creative ideas. The research will move beyond generating individual digital assets to developing complete, coherent and playable environments. The PhD researcher may work on AI agents that convert natural-language de...

The University of Glasgow is offering a PhD studentship through the MRC DTP in Precision Medicine , based in a cancer research laboratory led by Professor G. Vignir Helgason. The project will investigate the role and function of top-scoring genes identified through a meta-analysis of chronic myeloid leukemia (CML) leukemia stem-cell datasets, with a particular focus on RXFP1 . The research is centered on understanding gene function in CML leukemia stem cells and may contribute to precision medic...