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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] Passive control of Saffman-Taylor instabilities in shear-thinning fluids

The University of Manchester
Department of Mathematics
Interfacial instabilities are often undesirable in industrial and geophysical flows because they can lead to inefficient displacement and complex flow patterns. Read more
 Supervisors: Dr A Hutchinson, Dr A Thompson
 Year round applications  PhD Research Project  Competition Funded PhD Project (European/UK Students Only)
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[School of Natural Sciences PhD Scholarships] Machine Learning for Scalable Bayesian Computation

The University of Manchester
Department of Mathematics
Bayesian methods allow us to combine mathematical models with data while quantifying uncertainty, and are widely used across science and engineering. Read more
 Supervisors: Prof S Cotter, 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] 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] Analysis and computation for inverse problems

The University of Manchester
Department of Mathematics
Inverse problems is the area of mathematics concerned with imaging based on data. In an inverse problem, a mathematical model is built to simulate the data collection process, and then parameters of this model are inferred based on measurements. Read more
 Supervisors: Dr S Holman, Prof W R B Lionheart
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Fully funded PhD studentships at the EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)

University of Bath
Department of Mathematical Sciences
Flexibility to shape your research direction | Training and skills development for industrial and academic careers | Enhanced stipend from year 2 | Diverse and supportive community | Think Tanks with industry partners | Research areas include. Read more
 Funded PhD Programme (Students Worldwide)  EPSRC Centre for Doctoral Training
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Learning to Optimize for Data Science

University of Birmingham
School of Mathematics
Optimization algorithms are fundamental to modern data science and machine learning, underpinning applications from training AI models to solving large-scale inverse problems. Read more
 Supervisor: Dr J Tang
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Probabilistic combinatorics

University of Birmingham
School of Mathematics
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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Fully funded PhD positions in Astronomy, Biology, Computer Science, Chemistry & Materials, Data Science & Scientific Computing, Earth Science, Mathematics, Neuroscience, and Physics

Institute of Science and Technology Austria (ISTA)
Graduate School
The Institute of Science and Technology Austria (ISTA) is looking for highly qualified candidates with Bachelor's or Master's degrees to apply for our PhD program. Read more
 Funded PhD Programme (Students Worldwide)  International PhD Programme
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[FSE PhD President's Doctoral Scholarship] Sensing sound: Additive manufacturing enabled metallic metamaterials for enhanced acoustic perception

The University of Manchester
Department of Mechanical and Aerospace Engineering
Sound is fundamental to how people sense, interpret and respond to the world. Yet hearing needs vary between individuals because ear-canal geometry, hearing ability and the sounds that are most important for communication vary from person to person. Read more
 Supervisors: Dr Y Huang, Dr R Millman, Dr R Assier, Dr RS Snell, Dr SN Graetzer
 18 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Mathematics and Machine Learning of Brain Ageing

University of Birmingham
School of Mathematics
How do brains grow old and stay healthy, or suffer from diseases such as Alzheimers? Biologists uncovered changes ranging fromthe molecular and cellular level all the way to the whole-brain connectome. Read more
 Supervisors: Prof F Spill, Dr E Amico
 6 December 2026  PhD Research Project  Competition Funded PhD Project (UK Students Only)
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Virtual brain networks to guide deep brain stimulation in childhood epilepsy - EPSRC DLA studentship for September 2027 entry

University of Exeter
Mathematics and Statistics
Around a third of children with epilepsy continue to have seizures despite medication. For those who cannot be helped by conventional surgery, electrical stimulation delivered by an implanted device is one of the few remaining options. Read more
 Supervisor: Prof M Goodfellow
 8 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Studying the Langlands program via formalisation and AI (BIRKBECKC_U27SCIEMP)

University of East Anglia
School of Mathematics
Primary Supervisor. Dr Christopher Birkbeck. This fully funded PhD project, based at our Norwich campus, offers an opportunity to work at the intersection of number theory, artificial intelligence and formal mathematics. Read more
 Supervisor: Dr CB Birkbeck
 25 February 2027  PhD Research Project  Funded PhD Project (UK Students Only)
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New ways forward in the theory of turbulent heat and momentum transport

Monash University
School of Mathematics
About the Project. This project aims to significantly advance the theoretical understanding of heat and momentum transport in turbulent flows, a crucial step for improving power plants and reducing CO2 emissions. Read more
 Supervisor: Dr KD Deguchi
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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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] Homotopy Type Theory and Higher Categories

The University of Manchester
Department of Mathematics
The project seeks to push forward the exploration of exciting new connections between two previously unrelated areas of Pure Mathematics. Read more
 Supervisors: Dr N Gambino, Dr M Tressl
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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