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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] Complex dynamics: Dynamics of analytic finite-type maps

The University of Manchester
Department of Mathematics
A dynamical system is a system that changes over time. Such a system may be described by a set of possible states of the system, together with a transition rule, which determines how the system changes from one state to the next. Read more
 Supervisors: Prof L Rempe, Dr R Webb
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Geophysical fluid mechanics: Modelling debris flows

The University of Manchester
Department of Mathematics
Debris flows are complex mixtures of water, boulders, rock, soil, wood, etc, that develop on steep slopes and travel long distances, destroying houses, roads, railways and other infrastructure, as well as killing people that are caught up in them. Read more
 Supervisors: Prof N Gray, Dr C Johnson
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] The influence of nonlinear behaviour between different models of fluid flows

The University of Manchester
Department of Mathematics
Many problems in fluid mechanics can be investigated by using reduced models. In recent years, the trend has been to use neural networks or other model reduction techniques to learn solutions from high-resolution computations of the full-field equations, e.g. Read more
 Supervisors: Prof A Hazel, Prof R E Hewitt
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Joint Modelling of Longitudinal Outcomes and Multistate Survival Processes for Dynamic Prediction of Disease Progression

The University of Manchester
Department of Mathematics
Longitudinal studies in health and ageing research routinely collect repeated measurements of health outcomes alongside information on changes in clinical and functional status. Read more
 Supervisors: Dr T Baghfalaki, Dr AM Maharani
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Distributional Approximation by Stein's Method

The University of Manchester
Department of Mathematics
Stein's method is a powerful (and elegant) technique for deriving bounds on the distance between two probability distributions with respect to a probability metric. Read more
 Supervisors: Dr R Gaunt, Dr D Denisov
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Causal Inference in Joint Models of Longitudinal Omic Data and Time-to-Event Outcomes

The University of Manchester
Department of Mathematics
The increasing availability of longitudinal omic data provides new opportunities to investigate how biological processes change over time and how these changes may influence subsequent health outcomes. Read more
 Supervisors: Dr T Baghfalaki, Dr H Guo
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] The Fluid Mechanics of Particle Segregation

The University of Manchester
Department of Mathematics
Coffee, breakfast cereal and sand and gravel are common examples of granular materials that we encounter in our everyday lives, but they are used extensively by industry in the manufacture of nearly everything that we use. Read more
 Supervisors: Prof N Gray, Dr C Johnson
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Ångström-Scale Molecular Photonics with 2D Materials

The University of Manchester
Department of Physics and Astronomy
This PhD will establish a new platform for controlling light-matter interactions at molecular dimensions by exploiting Ångström-scale channels formed within van der Waals heterostructures. Read more
 Supervisors: Prof R Boya, Dr P Parkinson
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Large-data limits in Markov chain Monte Carlo

The University of Manchester
Department of Mathematics
We typically employ Bayesian inference in cases where, in addition to parameter inference, we are interested in quantifying the uncertainties that remain in the parameter after the data observation. Read more
 Supervisors: Dr JL Latz, Dr T Waite
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] A Joint Modelling Framework for Longitudinal Microbiome Omics and Time-to-Event Outcomes

The University of Manchester
Department of Mathematics
The early-life microbiome is increasingly recognised as an important component of infant health, yet its relationship with subsequent disease remains difficult to characterise. Read more
 Supervisors: Dr T Baghfalaki, Dr H Guo
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Geometry of numbers beyond lattices

The University of Manchester
Department of Mathematics
The geometry of numbers studies the remarkable interplay between arithmetic and geometry through lattices. But how much of this theory really depends on lattices being groups?. Read more
 Supervisors: Dr Y Smilansky, Dr D Robertson
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Novel THz-driven accelerators for high energy particle physics

The University of Manchester
Department of Physics and Astronomy
The acceleration of electrons has had intense interest in the last decade, with the effort to drive low-energy electrons to the relativistic regime for development of compact all-THz-powered light sources and electron diffraction. Read more
 Supervisors: Dr R Appleby, Dr D Graham, Dr M Hibberd
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Stone duality for join semilattices

The University of Manchester
Department of Mathematics
The project belongs to algebraic logic and non-Hausdorff topology. I have recently proved a Stone representation theorem for all join semilattices with 0. Read more
 Supervisors: Dr M Tressl, Dr G Jones
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Joint Modelling of Longitudinal and Time-to-Event Data for Large-Scale Healthcare Studies

The University of Manchester
Department of Mathematics
This PhD project will develop statistical methodology for jointly modelling longitudinal measurements and time-to-event outcomes using large-scale real-world healthcare data. Read more
 Supervisors: Dr T Baghfalaki, Dr M Anderson, Dr RP Parisi
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Generic derivations of piecewise Nash functions

The University of Manchester
Department of Mathematics
In the real field, generic derivations (i.e. those derivations that turn the real field into a CODF) may be used to detect lattice combinations of Nash functions locally. Read more
 Supervisors: Dr M Tressl, Dr N Gambino
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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