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mathematics PhD Projects, Programmes & Scholarships

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

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[School of Engineering PhD Scholarships] Engineering Downstream Processes 2.0: Coupling Chemical Unit Operations for End-to-End Pharmaceutical Manufacturing

The University of Manchester
Department of Chemical Engineering
Crystallization, a key separation and purification unit operation in the pharmaceutical industry, involves downstream processing steps to isolate the material before final formulation. Read more
 Supervisors: Dr A Rajagopalan, Prof V Niasar, Dr A Thornton
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Exploring Novel and Unfamiliar Data Visualisations

The University of Manchester
Department of Computer Science
Each year, research explores new ways to visualise data. Read more
 Supervisors: Mr G Strain, Prof C Jay, Prof A Stewart, Dr P Warren
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Linking degassing and mass eruption rates, conduit modelling and petrological records to quantify different eruptive styles and processes at basaltic volcanoes

The University of Manchester
Department of Earth and Environmental Sciences
Why does a volcano switch from producing lava flows to launching powerful lava fountains? Can gases measured from space help us understand what is happening inside a volcanic conduit?. Read more
 Supervisors: Prof M Burton, Dr C Johnson, Dr M Polacci, Mr J Langham
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Hybrid ML-Physics Agents for Design of Pharmaceutical Reactors

The University of Manchester
Department of Chemical Engineering
Lipid nanoparticles (LNPs) are central to mRNA vaccines, but their performance depends on the complex fluid physics governing mixing and particle formation during manufacturing. Read more
 Supervisors: Dr N Basha, Dr C Pereira da Fonte
 Year round applications  PhD Research Project  Funded PhD Project (UK Students Only)
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Analytics & Operations

Imperial College London
Imperial Business School
Operations Management at Imperial focuses on the systems, processes, and decisions that power modern organisations. Doctoral students join a vibrant, multidisciplinary research community, working alongside experts from Computing, Engineering, Mathematics, and other leading departments. Read more
 Funded PhD Programme (Students Worldwide)  Business Research Programme
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Lattice-based Cryptography

King’s College London
Department of Informatics
The threat of large-scale, general-purpose quantum computers to existing public-key cryptographic solutions has led to global efforts to standardise post-quantum cryptography as a replacement. Read more
 Supervisor: Prof M Albrecht
 Year round applications  PhD Research Project  Funded PhD Project (Students Worldwide)
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Understanding neural circuit dynamics in models of Parkinson’s

University of Oxford
Nuffield Department of Clinical Neurosciences
Background. Applications are invited from both Home students and International students to join a multidisciplinary team of researchers studying the links between behaviour and brain circuit dynamics in animal models of Parkinson’s. Read more
 Supervisors: Prof P J Magill, Prof A Sharott, Dr J Gallego, Dr H Collins
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Phase-locked Deep Brain Stimulation to restore neural dynamics in Parkinson’s Disease

University of Oxford
Nuffield Department of Clinical Neurosciences
Background. Applications are invited from both Home students and International students to join a multidisciplinary team of researchers studying phase-locked deep brain stimulation to improve movement and sleep in people with Parkinson’s disease. Read more
 Supervisors: Prof H Tan, Dr S He, Prof A Sharott
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Developing and Testing Brain Stimulation Patterns to Promote Half-Harmonic Entrainment for Therapeutic Benefit in Parkinson’s Disease

University of Oxford
Nuffield Department of Clinical Neurosciences
Background. Applications are invited from both Home students and International students to join a multidisciplinary team of researchers studying the synchronisation of brain activity to deep brain stimulation in Parkinson’s disease. Read more
 Supervisors: Dr B Duchet, Prof H Tan
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Discovering and translating physiological biomarkers for personalised adaptive Deep Brain Stimulation in Parkinson’s disease

University of Oxford
Nuffield Department of Clinical Neurosciences
Background. Applications are invited from both Home students and International students to join a multidisciplinary team of researchers studying how neural, movement and behavioural signals can be used to personalise adaptive deep brain stimulation (DBS) for Parkinson’s disease. Read more
 Supervisors: Assoc Prof A Oswal, Prof T Denison, Assoc Prof H Cagnan, Dr B Abdi-Sargezeh
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Artificial Intelligence for Medical Imaging and Biomedical Data Analysis

University of Liverpool
Institute of Life Course and Medical Sciences
This PhD project will develop artificial intelligence methods for analysing complex medical imaging and biomedical data. Read more
 Supervisor: Dr HZ Zhao
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Understanding Brain Resilience, Vascular Health and early Neurodegeneration

University of Cambridge
Department of Clinical Neurosciences
Summary. Why do some individuals remain cognitively healthy despite accumulating brain pathology and genetic risk, while others develop cognitive impairment and dementia?. Read more
 Supervisor: Dr KT Tsvetanov
 8 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Reengineering a mitochondrial peptide to rescue diabetic heart dysfunction

University of Auckland
Auckland Bioengineering Institute
Type 2 diabetes is New Zealand’s fastest-growing chronic disease and a major reason why many people die early from heart failure. Read more
 Supervisor: Dr TP Pham
 Year round applications  PhD Research Project  Awaiting Funding Decision/Possible External Funding
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AI for Nature: Using computer science to reconnect fragmented freshwater ecosystems

University of Southampton
Faculty of Engineering and Physical Sciences
Supervisory Team. Professor Paul Kemp and Dr Andrew Vowles. Freshwater ecosystems are the most degraded on the planet and the species they support the most threatened. Read more
 Supervisor: Prof P Kemp
 30 November 2026  PhD Research Project  Competition Funded PhD Project (UK Students Only)
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Molecular engineering of water treatment membranes

University of Edinburgh
School of Engineering
Context. Reverse osmosis (RO) holds significant promise in alleviating global water scarcity through seawater desalination. But shortages of increasing frequency and intensity now demand treatment of unconventional waters beyond seawater, such as wastewater, to expand supply. Read more
 Supervisor: Dr S Romero-Vargas Castrillon
 2 March 2027  PhD Research Project  Self-Funded PhD Students Only
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