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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PhD (in-person or online) and iPhD (in-person) in Education at the University of Southampton-Shape Policy, Influence Practice

Help to shape the future of education through our research degrees at Southampton. Explore new ideas that can have an impact on practice as you develop your professional skills. Read more
 Awaiting Funding Decision/Possible External Funding  PhD Research Programme
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[School of Natural Sciences PhD Scholarships] Mathematical Foundations of Learned Priors for Coherent Imaging

How can machine learning be used to aid image formation when these images are complex-valued, resolution varies between acquisitions, and reliable ground truth is unavailable?. Read more
 Supervisors: Dr F M Watson, Dr JL Latz
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Extensions of lubrication theory to non-isothermal and reactive flows under confinement: mixing, instabilities, and hydrogen flame stabilisation

In fluid mechanics, lubrication theory elegantly simplifies the Navier-Stokes equations into Darcy or Darcy-like laws for incompressible, isothermal thin-film flows. Read more
 Supervisors: Prof J Daou, Prof S Fedotov
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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PhD in Mathematics - Making a splash: Mathematical modelling of resonant wave sloshing in confined basins

Motivated by marine and industrial applications, this project concerns nonlinear resonant sloshing of confined water waves. Nonlinear resonance is a mechanism by which energy is continuously exchanged between a small number of linear wave modes, a phenomenon common to many dispersive fluid systems. Read more
 Supervisors: Dr MD Durey, Dr KK Kowal
 1 January 2027  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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PhD in Mathematics - Mathematical modelling and fluid mechanics of enhanced blood filtration in artificial kidneys

The aim of this project involves applying techniques across mathematical modelling, analysis, fluid mechanics and/or computation to examine the efficiency of novel methodologies for enhanced and sustainable blood filtration technologies for patients undergoing dialysis treatment. Read more
 Supervisors: Dr KK Kowal, Dr MD Durey
 1 January 2027  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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PhD Position in Applied Mathematics and Chemical Engineering at The University of Adelaide

The School of Chemical Engineering of The University of Adelaide is pleased to offer two prestigious PhD positions focused on transport phenomena in porous media. Read more
 Supervisors: Mr LG Gerstweiler, Prof PB Bedrikovetski
 Year round applications  PhD Research Project  Funded PhD Project (Students Worldwide)
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Low-Dimensional Enriched Category Theory (S3.5-MPS-Willerton)

A fully funded PhD opportunity to participate in the world-leading research undertaken by the EPSRC Doctoral Landscape Award at the University of Sheffield. Read more
 Supervisors: Dr S Willerton, Dr H Beohar
 13 January 2027  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Symplectic Geometry Across Topology, Representation Theory and Mathematical Physics (S3.5-MPS-Mak)

A fully funded PhD opportunity to participate in the world-leading research undertaken by the EPSRC Doctoral Landscape Award at the University of Sheffield. Read more
 Supervisors: Dr CY Mak, Prof E Shinder
 13 January 2027  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Living Machines: AI, Mathematics and Robotics for Artificial Life

What if robots were not controlled in the conventional sense, but could move, adapt and organise themselves through the physics of their own material?. Read more
 Supervisor: Dr H Gadelha
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Research opportunities in Mathematics

The Department of Mathematics at York offers a thriving research environment in which to study for a PhD. We combine world-class mathematical and interdisciplinary research with high-quality teaching. Read more
 Awaiting Funding Decision/Possible External Funding  Maths Research Programme
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How do the languages that we speak affect numerical processing and mathematics achievement? (Ref: LN/IXD-SF1/2026)

A growing body of research suggests that different aspects of language influence the way we think about, represent, and apply numbers and mathematical concepts. Read more
 Supervisors: Dr I Xenidou-Dervou, Dr J Bahnmüller
 7 January 2027  PhD Research Project  Self-Funded PhD Students Only
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Understanding the Dynamic Development of Numerical Skills: The Role of Learning Behaviours and Self-Regulation (Ref: LN/FW-SF1/2027)

Numerical and mathematical skills are critical for educational attainment, workforce participation, and engagement with an increasingly data-driven society. Read more
 Supervisor: Dr F Wortha
 30 June 2027  PhD Research Project  Self-Funded PhD Students Only
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Fully Funded PhD: Machine Learning in Financial Mathematics

We invite applications for a fully funded PhD position in a new interdisciplinary research group led by Florian Kogelbauer at KAUST. Read more
 Supervisor: Dr F Kopablauer
 3 January 2027  PhD Research Project  Funded PhD Project (Students Worldwide)
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Probabilistic Combinatorics

The probabilistic method is a powerful tool which has been especially influential in the fields of combinatorics and computer science. Read more
 Supervisor: Dr J E Erde
 Year round applications  PhD Research Project  Funded PhD Project (UK Students Only)
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[School of Natural Sciences PhD Scholarships] Rheology-driven instabilities in shear-thinning fluids

Shear-thinning fluids are encountered in biological flows such as blood flow in vessels, and in industrial processes including injection moulding and channel cleaning. Read more
 Supervisors: Dr A Hutchinson, Prof A Juel
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)