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mathematics PhD Projects, Programmes & Scholarships

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

Trustworthy Agentic Large Language Models for Privacy-Preserving Intrusion Detection

University of Portsmouth

School of Computing, Mathematics and Physics (SCMP)

Applications are invited for a self-funded, 3 year full-time or 6 year part-time PhD project. The PhD will be based in the School of Computing, Mathematics and Physics and will be supervised by Dr Rahim Taheri, Prof. Read more

Supervisors: Dr R Taheri, Dr I Jordanov, Dr M Ghahremani

Year round applications PhD Research Project Self-Funded PhD Students Only

Agentic Federated Large Language Models for Autonomous Cyber Threat Hunting

University of Portsmouth

School of Computing, Mathematics and Physics (SCMP)

Applications are invited for a self-funded, 3 year full-time or 6 year part-time PhD project. The PhD will be based in the School of Computing, Mathematics and Physics and will be supervised by Dr Rahim Taheri, Professor Ivan Jordanov and Dr Sajad Homayoun (Aalborg University). Read more

Supervisors: Dr R Taheri, Dr I Jordanov

Year round applications PhD Research Project Self-Funded PhD Students Only

Pre-Implementation Evaluation of AI-Supported Menopause Group Consultations

University of Portsmouth

School of Computing, Mathematics and Physics (SCMP)

Applications are invited for a self-funded, 3 year full-time or 6 year part-time PhD project. The PhD will be based in the School of Computing, Mathematics and Physics and will be supervised by Dr Taiwo Adedeji and Dr Elisavet Andrikopoulou. Read more

Supervisors: Dr T Adedeji, Dr E Andrikopoulou

Year round applications PhD Research Project Self-Funded PhD Students Only

AI applications in Health Technologies

University of Portsmouth

School of Computing, Mathematics and Physics (SCMP)

Applications are invited for a self-funded, 3 year full-time or 6 year part-time PhD project. The PhD will be based in the School of Computing, Mathematics and Physics and will be supervised by Dr Rinat Khusainov and Dr Richard Curry. Read more

Supervisors: Dr R Khusainov, Dr R Curry

Year round applications PhD Research Project Self-Funded PhD Students Only

[School of Natural Sciences PhD Scholarships] Solution Landscapes and Inverse Problems in the Landau-de Gennes theory for Liquid Crystals

The University of Manchester

Department of Mathematics

Liquid crystals (LCs) are beautiful smart materials that combine fluidity and softness with the structural order of solids. At a basic level, LCs are anisotropic or directional soft materials with distinguished material directions, referred to as "directors". Read more

Supervisors: Prof AM Majumdar, Prof J Daou

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

Mapping Human Brain Networks with Invasive EEG: From Neural Dynamics to Individual Connectomes

University of Birmingham

School of Mathematics

Research Group: AMICO Lab

How does information propagate through the human brain, and what can direct recordings of neural activity tell us about its network organisation?. Read more

Supervisors: Dr E Amico, Prof F Spill

Year round applications PhD Research Project Funded PhD Project (UK Students Only)

Stability of Soap Films and Foams (WHITTAKERR_U27EMPSFPF)

University of East Anglia

School of Mathematics

Primary Supervisor. Dr. Robert Whittaker. Foams, comprising thin liquid films surrounding many small gas bubbles, have many domestic and industrial applications. Read more

Supervisor: Dr R Whittaker

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Mathematical Modelling of Microwave Cooking of Thin Potato Disks (WHITTAKERR_U27EMPSFMF)

University of East Anglia

School of Mathematics

Primary Supervisor. Dr. Robert Whittaker. This is a one-year MSc by Research project. Find out more about this programme here. Manufacturers of thin potato-based snacks are interested in developing healthier cooking methods than the traditional oil frying. Read more

Supervisor: Dr R Whittaker

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Quantum Supersolids: Solitons, Vortices, and Nonlinear Dynamics (PROMENTD_U27EMPSFMF)

University of East Anglia

School of Mathematics

Primary Supervisor. Dr. Davide Proment. A supersolid is one of the most intriguing recently realised phases of quantum matter, simultaneously exhibiting the crystalline structure of solids and the frictionless flow of superfluids. Read more

Supervisor: Dr D Proment

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Dependence modelling using truncated vine copulas with applications (NIKOLOULOPOULOS_U27EMPSFPF)

University of East Anglia

School of Mathematics

Primary Supervisor. Dr. Aristidis K. Nikoloulopoulos. Multivariate response data abound in many applications including insurance, risk management, finance, psychometrics, health and environmental sciences. Read more

Supervisor: Dr A Nikoloulopoulos

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Representation theory and Categorification (MIEMIETZV_U27EMPSFPF)

University of East Anglia

School of Mathematics

Primary Supervisor. Prof Vanessa Miemietz. Categorification has led to major advances in representation theory in the last 30 years, including the proof of Broué’s abelian defect group conjecture for symmteric groups and the proof of the Kazhdan—Lusztig conjectures for all Coxeter types. Read more

Supervisor: Dr V Miemietz

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Ranks and types in positive logic (KIRBYJ_U27EMPSFPF)

University of East Anglia

School of Mathematics

Primary Supervisor. Dr Jonathan Kirby. Model theory is traditionally done with “classical first-order logic”, the logic which allows unlimited use of the operators AND, OR, NOT, with the EXISTS and FOR ALL quantifiers. Read more

Supervisor: Dr J Kirby

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Nonlinear waves on liquid cylinders (BLYTHM_U27EMPSFPF)

University of East Anglia

School of Mathematics

Primary Supervisor. Prof. Mark Blyth. Inviscid liquid jets subject to surface tension and in the absence of gravity are known to be unstable under long-wave perturbations, a phenomenon described by the classical Rayleigh–Plateau instability. Read more

Supervisor: Dr M Blyth

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Shaping Collective Traffic Behaviour through Multi-Agent Learning-Based Control

University of Bristol

School of Engineering Mathematics and Technology

The next generation of mobility will be redefined by mixed autonomy — connected autonomous vehicles (CAVs) and human drivers sharing the same road. Read more

Supervisor: Dr KFC Chu

31 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Efficient Reasoning and Decision-Making in AI Agents

University of Bristol

School of Engineering Mathematics and Technology

AI agents built on large models can now plan, use tools, and carry out tasks over many steps. They are, however, very inefficient. Read more

Supervisor: Dr CT Tang

31 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

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