We have 1,058 mathematics PhD Projects, Programmes & Scholarships

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mathematics PhD Projects, Programmes & Scholarships

We have 1,058 mathematics PhD Projects, Programmes & Scholarships

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[School of Natural Sciences PhD Scholarships] Stone duality for join semilattices

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] Generic derivations of piecewise Nash functions

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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[School of Natural Sciences PhD Scholarships] The Fluid Mechanics of Granular Flow

Granular materials are the second most abundant material used by mankind, but our ability to model their flow lags far behind that of fluids. 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] Joint Modelling of Longitudinal and Time-to-Event Data for Extreme Patient Outcomes

This PhD project will develop new statistical methods for jointly modelling longitudinal measurements and time-to-event outcomes in patients exhibiting extreme or unusual measurement patterns. 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] Bayesian optimal experimental design

In recent years, there has been an explosion of interest in Bayesian Optimal Experimental Design (BOED) (e.g. Rainforth et al., 2024), a statistical field that has benefitted from an influx of ideas from machine learning. Read more
 Supervisors: Dr T Waite, Prof S Kaski
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Segregation in complex granular materials

The field of granular materials encompasses a vast range of materials and processes, from the formation of sand dunes on a beach and snow avalanches in the mountains, to the roasting of coffee beans and the manufacture of pharmaceutical tablets. Read more
 Supervisors: Dr C Johnson, Prof N Gray
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Modelling debris flows

Debris flows are rapid avalanches of rock and water, which are triggered on mountainsides when erodible sediment is destabilised by heavy rainfall or snowmelt. Read more
 Supervisors: Dr C Johnson, Prof N Gray
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Models of three-dimensional instability in high-speed flow

This project investigates the use of asymptotic methods to predict and understand three-dimensional instabilities arising from separated flows at high Reynolds and Mach numbers. Read more
 Supervisors: Prof R E Hewitt, Prof A Hazel
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Stochastic models for water transport in a heterogeneous porous media

Traditional advection-diffusion equations fail to describe the non-Fickian transport of water and contaminants in heterogeneous porous media, particularly the non-Gaussian concentration distributions with heavy-tailed breakthrough curves. Read more
 Supervisors: Prof S Fedotov, Prof J Daou
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Models of buoyancy driven slope winds

This project will investigate instability mechanisms within stratified environmental flows, specifically focusing on 'katabatic winds' – these are downslope currents driven by nocturnal cooling of sloping terrains. Read more
 Supervisors: Prof R E Hewitt, Prof A Hazel
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Algebraic differential equations and model theory

Differential rings and algebraic differential equations have been a crucial source of examples for model theory (more specifically, geometric stability theory), and have had numerous application in number theory, algebraic geometry, and combinatorics (to name a few). Read more
 Supervisors: Dr O Sanchez, Dr M Tressl
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Representation theory of finite groups, profinite groups and pseudocompact algebras

The representation theory of finite groups is a classical subject with many long-standing open conjectures (and some recently settled ones). Read more
 Supervisors: Dr F Eisele, Prof R Kessar
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Hybrid Machine Learning & Finite Element Solvers for UQ in PDE Models

In forward uncertainty quantification (UQ), one aims to understand how uncertainty in model inputs affects predictions of quantities of interest associated with model solutions. Read more
 Supervisor: Dr C Powell
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Mechanics of disordered elastic foams

Foam-like elastic structures are found in many natural and artificial materials, from sponges, plant cells, and animal bones to highly compressible rubber foams. Read more
 Supervisors: Dr G Jones, Prof W J Parnell
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Number Theory

This project will be focussed within Algebraic Number Theory and centred around questions arising from Diophantine equations, modular forms, and elliptic curves and involve a blend of algebraic, analytic and computational methods. Read more
 Supervisor: Dr V Patel
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)