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ukri PhD Projects, Programmes & Scholarships

We have 1,011 ukri PhD Projects, Programmes & Scholarships

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[School of Natural Sciences PhD Scholarships] Feedback control to optimize and explore viscous fingering

The University of Manchester
Department of Mathematics
Active feedback control - where control inputs are chosen in response to real time observations - is a very powerful tool to alter the dynamics of a system. Read more
 Supervisors: Dr A Thompson, Dr A Hutchinson
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Unlikely intersections and the Zilber Pink conjecture

The University of Manchester
Department of Mathematics
When can a system of polynomial equations have more special solutions than geometry predicts? This question lies at the heart of unlikely intersections, an area connecting number theory, algebraic geometry and model theory. Read more
 Supervisors: Dr V Aslanyan, Dr G Jones
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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GW4 BioMed3 MRC DLP PhD project: Ion-channel communication: digital diagnostics for antimicrobial resistance

University of Bath
Department of Chemical Engineering
This project is one of several in competition for funding from the GW4 BioMed3 MRC Doctoral Landscape Programme (DLP), which is offering up to 17 studentships for entry in September 2026. Read more
 Supervisor: Dr N Reis
 21 October 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Existential Closedness for exponential and automorphic functions

The University of Manchester
Department of Mathematics
Polynomial equations over the complex numbers are central to algebraic geometry. Read more
 Supervisors: Dr V Aslanyan, Dr G Jones
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] AI-driven Hardware-Software Co-optimisation for Sustainable and Efficient Computing

The University of Manchester
Department of Computer Science
Modern processors spend a substantial fraction of their execution time waiting for data to arrive from memory. Read more
 Supervisors: Dr P Petoumenos, Dr P Olivier
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Differential algebra and the model theory of differential equations

The University of Manchester
Department of Mathematics
Differential algebra studies differential equations using algebraic methods, treating differentiation as an operation on a field. Read more
 Supervisors: Dr V Aslanyan, Dr O Sanchez
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Security of Neuromorphic Systems

The University of Manchester
Department of Computer Science
Neuromorphic event cameras are increasingly considered for space, defence and surveillance applications owing to their low latency, high dynamic range and energy efficiency. Read more
 Supervisors: Dr A Marcireau, Dr S Kohler, Prof A van Schaik
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Modelling and Inference for Household Epidemic Models

The University of Manchester
Department of Mathematics
Household studies are currently run for many infectious disease outbreaks at significant cost, but the data from these are not optimally analysed to draw out epidemiological insights and inform the best policy response to a given epidemic. Read more
 Supervisors: Dr T House, Dr L Pellis
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Securing Underwater Acoustic Transmissions

The University of Manchester
Department of Computer Science
Underwater autonomous systems rely heavily on acoustic communication because conventional radio and satellite-based positioning do not work effectively beneath the surface. Read more
 Supervisors: Dr S Kohler, Dr E Alsusa
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Mathematics of machine learning for health data

The University of Manchester
Department of Mathematics
One of the widely recognised potential benefits for AI, alongside risks, is in human health. The mathematical challenges associated with this application remain far from fully solved, however. Read more
 Supervisors: Dr T House, Dr I Henriques-Cadby
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Modelling Hospital Pressures

The University of Manchester
Department of Mathematics
Every year and with increasing frequency and intensity there are stories about the NHS struggling to meet surges in demand caused by influenza and other conditions common in the winter, exacerbated by the extra admissions generated in summer due to global warming. Read more
 Supervisors: Dr T House, Dr S Ahmad
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Statistical inference of transmission chains or outbreaks

The University of Manchester
Department of Mathematics
There are increasingly established statistical inference tools for fitting epidemic models to data from traditional MLE methods to MCMC to STAN. Read more
 Supervisors: Prof I Hall, Dr T House
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Multi-Omics Digital Twins for Modelling Brain Ageing and Intervention Response

The University of Manchester
Department of Computer Science
Why do some people maintain good brain health as they age, while others experience more rapid decline? Current “brain-age” models often reduce this complex process to a single score. Read more
 Supervisors: Dr J Sun, Dr H Zhou, Dr C Lea-Carnall, Prof GN Nenadic
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Bayesian Monte Carlo Methods for Complex Generative Time-Series Models

The University of Manchester
Department of Mathematics
Time series arise throughout finance, economics science and technology, and are increasingly modelled using sophisticated generative systems. Read more
 Supervisors: Dr W Li, Dr N Guha
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Mixed-Precision Randomized Numerical Linear Algebra

The University of Manchester
Department of Mathematics
Modern scientific computing and data analysis increasingly involve matrices that are too large for traditional numerical algorithms to handle efficiently. Read more
 Supervisors: Dr M Webb, Prof F Tisseur
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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