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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] Discrete models of cellular materials

The University of Manchester
Department of Mathematics
The mechanical properties of plant and animal tissues are strongly influenced by the arrangement of their constituent cells. Mechanical signals are also key determinants of tissue development. Read more
 Supervisors: Prof O Jensen, Dr G Jones, Dr S Woolner
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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How do we acquire number names in a second language? (Ref: LN/MJB-SF1/2026)

Loughborough University
Mathematics Education Centre
Learning the number system of a new language is more than memorising vocabulary, it is a window into how languages encode numerical concepts. Read more
 Supervisor: Dr MJ Bisson
 1 April 2027  PhD Research Project  Self-Funded PhD Students Only
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Computer Science & Mathematics - Example topics include person identification using gait-based approaches, AI for clinical assessment, and applications in areas such as ophthalmology and mobility analysis.

Liverpool John Moores University
Faculty of Engineering & Technology
We are seeking motivated and self-funded PhD students who are excited to work at the intersection of machine learning, artificial intelligence, and real-world impact. Read more
 Supervisor: Dr LT Topham
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Neural Networks for Complex Dynamical Systems

University of Birmingham
School of Mathematics
Details. Dynamical systems are often solved/integrated by a suitable numerical discretisation method in such a way that certain properties of the underlying systems will be preserved. Read more
 Supervisor: Dr X Shang
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Deep learning for dynamical systems in biology

University of St Andrews
School of Mathematics and Statistics
  Research Group: Mathematical Biology Group
Many phenomena in biology can be well-described by stochastic differential equations, as these naturally capture sources of intrinsic and extrinsic noise. Read more
 Supervisor: Dr J Kursawe
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Blistering Across Scales

The University of Manchester
Department of Physics and Astronomy
This project seeks to uncover the fundamental principles that govern blister formation in thin elastic structures. Blisters appear in a remarkable range of contexts, from voids that undermine the reliability of advanced semiconductor devices to the delamination of thin composite layers under compression. Read more
 Supervisors: Dr D Pihler-Puzovic, Dr F Box, Prof A Juel
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Join a graduate school at the interface of biology and computation: IMPRS-BAC in Berlin

Max Planck Institute for Molecular Genetics
IMPRS for Biology and Computation
We seek exceptional graduates from around the globe and are delighted to offer them the ideal environment for advancing their scientific careers. Read more
 Funded PhD Programme (Students Worldwide)  Max Planck Research Programme
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Lieb-Thirring inequalities for Generalized Indefinite Strings (Ref: MA/JE-SF1/2026)

Loughborough University
Department of Mathematical Sciences
Lieb-Thirring inequalities provide upper bounds on the negative eigenvalues of Schrödinger operators in terms of the potential. Such inequalities have important applications in quantum mechanics, in particular for establishing stability of matter. Read more
 Supervisor: Dr J Eckhardt
 1 February 2027  PhD Research Project  Self-Funded PhD Students Only
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Science Research Opportunities at the University of East Anglia

University of East Anglia
Faculty of Medicine and Health Science
The Faculty of Science is part of Norwich Research Park, one of Europe's leading research centres conducting cutting-edge multidisciplinary research with an annual research spend of over £130 million. Read more
 Funded PhD Programme (Students Worldwide)  PhD Opportunities
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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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Machine Learning and Uncertainty Quantification for Complex Scientific Systems

University of Birmingham
School of Mathematics
Machine learning is transforming how we study complex systems across science, engineering, and medicine. However, many real-world processes are inherently uncertain, dynamic, and only partially observable. Read more
 Supervisor: Dr M Xia
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Geometric deep learning with application to molecular design and discovery

University of Bristol
School of Engineering Mathematics and Technology
The School of Engineering Mathematics invites applications for a PhD at the intersection of Artificial Intelligence, mathematics, and molecular science. Read more
 Supervisor: Dr MG Golbabaee
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[FSE PhD President's Doctoral Scholarship] UTIs and the menopause

The University of Manchester
Department of Mathematics
Why does prevalence of UTIs increase so substantially during the menopause? How do the hormonal changes associated with menopause come to affect competition… Read more
 Supervisors: Dr A Thompson, Dr D Gifford, Dr RT Tank, Dr E Doman
 18 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Seeing the Forest from the Trees: AI and Variational Methods for Forest Biomass Monitoring

The University of Manchester
Department of Mathematics
AI_CDT_DecisionMaking. Details. Earth Observation (EO) is vital for monitoring biomass, forest health, wildfire risk, illegal logging, and the impacts of climate change. Read more
 Supervisors: Dr F M Watson, Dr JL Latz
 4 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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AI-Guided Computer-Assisted Proofs for Mathematical Problems in Physics

University of Cambridge
Department of Applied Mathematics and Theoretical Physics
AI_CDT_DecisionMaking. Details. This project will develop learning-guided, computer-assisted proofs that use AI for mathematical discovery while maintaining rigorous verification. Read more
 Supervisors: Mr MC Colbrook, Assoc Prof GS Stepaniants
 4 December 2026  PhD Research Project  Competition Funded PhD Project (UK Students Only)
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