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scholarships PhD Projects, Programmes & Scholarships

We have 762 scholarships PhD Projects, Programmes & Scholarships

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[School of Natural Sciences PhD Scholarships] Numerical approximations of fractional differential equations and their applications

The University of Manchester
Department of Mathematics
In the past few decades, traditional differential equations with diffusion driven by Brownian motions might no longer give an accurate description of many social and natural phenomena with memory effects or long-range interactions. Read more
 Supervisors: Dr Y Huang, Dr Y Kazashi
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Abstract Regular Polytopes and Groups of Lie Type

The University of Manchester
Department of Mathematics
Abstract regular polytopes have been part of mathematics since antiquity – familiar examples being regular polygons, the icosahedron and dodecahedron. Read more
 Supervisors: Prof P Rowley, Dr V Kelsey
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Abelian varieties, isogenies and quantitative bounds

The University of Manchester
Department of Mathematics
Abelian varieties are higher-dimensional generalisations of elliptic curves, objects of algebraic geometry which are of great interest to number theorists. Read more
 Supervisors: Dr M Orr, Dr G Jones
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Predicting fatigue and fracture in dissimilar-metal joints

The University of Manchester
Department of Mechanical and Aerospace Engineering
How can we predict when a joint between two different metals will fail? Combining metals can create structures that are lighter, more efficient or better suited to demanding environments. Read more
 Supervisors: Prof A Jivkov, Dr J Francis, Dr M Roy
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Use of Data-Driven Symbolic Regression for the development of accurate and cost-effective Models of Turbulence

The University of Manchester
Department of Mechanical and Aerospace Engineering
From wind moving through a wind farm to air circulating in buildings, turbulent flows affect energy efficiency, ventilation and the transport of heat and pollutants. Read more
 Supervisors: Dr T Tang, Prof H Iacovides, Dr T Craft, Dr A Harish
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Quantum Computing for Machining Simulation

The University of Manchester
Department of Mechanical and Aerospace Engineering
Machining simulation is critical for selecting cutting conditions that control machining errors such as force, vibration, tool/workpiece deformation, surface location error and chatter without costly production trials. Read more
 Supervisors: Dr P Brearley, Dr Z Kilic
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Robust manufacturing in a critical material constrained world

The University of Manchester
Department of Mechanical and Aerospace Engineering
This PhD addresses the urgent challenge of securing sustainable supplies of critical minerals, whose demand is rising rapidly due to the green transition and emerging technologies. Read more
 Supervisors: Prof P Mativenga, Dr O Okorie, Dr W Mirihanage
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] The Adapting Artery: computational and experimental digital twins of vascular remodelling

The University of Manchester
Department of Mechanical and Aerospace Engineering
Astronauts return from six months on the International Space Station with arteries that have stiffened by the equivalent of ten to twenty years of ageing. Read more
 Supervisors: Dr A Harish, Prof A Revell
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Non-Intrusive Approximation for Systems of Time-Dependent Parametric PDEs

The University of Manchester
Department of Mathematics
In applied mathematics we frequently encounter physics-based models consisting of partial differential equations (PDEs) with inputs that are uncertain in real-world settings (eg material coefficients, boundary conditions etc). Read more
 Supervisor: Dr C Powell
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Doped materials systems for quantum memory applications

The University of Manchester
Department of Electronic and Electrical Engineering
Rare-earth (RE) ions possess unique optical properties which lend themselves towards application in photonic and quantum applications. Read more
 Supervisors: Prof R Curry, Dr H Ye
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] From Nature to Mechanism: Inverse Design of Soft Robot via Differentiable Rendering Base Self-Modeling

The University of Manchester
Department of Mechanical and Aerospace Engineering
This PhD project investigates biomimicry-inspired kinematics and inverse design for soft robots by integrating differentiable simulation, Gaussian splatting-based differentiable rendering, and self-modeling. Read more
 Supervisors: Prof C Wang, Dr Z Li
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Multiscale mathematical modelling for underground energy storage

The University of Manchester
Department of Mathematics
Underground gas storage, including hydrogen storage, is emerging as a pivotal solution in the transition to a sustainable clean-energy economy. Read more
 Supervisors: Dr I Chernyaysky, Prof O Jensen
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Materials optimisation for waves at non-normal incidence

The University of Manchester
Department of Mathematics
Whilst being rather specific in its nature, the focus of this project can be adapted to suit the skills and interests of the appointed student. Read more
 Supervisors: Prof W J Parnell, Dr R Assier
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Reliable Inference from High-Dimensional Data

The University of Manchester
Department of Mathematics
Modern scientific studies often measure thousands of variables from relatively few individuals. Statistical methods can identify patterns in such data, but producing trustworthy confidence intervals and hypothesis tests is much harder, particularly when variability and dependence are not correctly modeled. Read more
 Supervisors: Dr J Zhou, Dr W Li
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Models of disease outbreaks in vulnerable settings

The University of Manchester
Department of Mathematics
The objective of the proposal is to develop simulation-based models to explore the transmission of viral pathogens in vulnerable settings. Read more
 Supervisor: Prof I Hall
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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