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mathematics PhD Projects, Programmes & Scholarships

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

Medical Research Council-funded PhD Programme in 3i Biomedical Research

University of Warwick

Warwick Medical School

Applications open to home students only. Several fully funded four-year ‘Core' studentships are available for September 2027 to join Warwick's MRC-funded Doctoral Training Partnership (MRC DTP). Read more

Funded PhD Programme (UK Students Only) MRC Centre of Research Excellence (CoRE)

EPSRC and MoD Doctoral Programme in Sensing, Processing, and AI for Defence and Security (SPADS)

Heriot-Watt University

We are inviting applications for the third cohort of SPADS, a doctoral training programme with integrated studies focussed on advanced computation and sensing for defence and security applications. Read more

Funded PhD Programme (Students Worldwide) EPSRC Centre for Doctoral Training

EPSRC and MoD Doctoral Programme in Sensing, Processing, and AI for Defence and Security (SPADS)

University of Edinburgh

We are inviting applications for the third cohort of SPADS, a doctoral training programme with integrated studies focussed on advanced computation and sensing for defence and security applications. Read more

Funded PhD Programme (Students Worldwide) EPSRC Centre for Doctoral Training

[School of Natural Sciences PhD Scholarships] Applications or resurgence at particle colliders

The University of Manchester

Department of Physics and Astronomy

The equations of the Standard Model of particle physics admit non-perturbative solutions called sphalerons. These play an important role in the electroweak phase transition, a pivotal moment in the Universe’s history when the W and Z bosons acquired their mass through the Higgs mechanism. Read more

Supervisors: Dr PM Millington, Prof C Englert

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

[School of Engineering PhD Scholarships] From Solid to Flow: Understanding Yielding in Soft Materials

The University of Manchester

Department of Chemical Engineering

Yield-stress materials are everywhere. in foods, cosmetics, pharmaceuticals, coatings, construction materials, pastes, inks and many advanced manufacturing processes. Read more

Supervisors: Dr C Pereira da Fonte, Prof A Juel

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

[School of Engineering PhD Scholarships] Post-Quantum Threshold Cryptography from Supersingular Isogenies

The University of Manchester

Department of Computer Science

Quantum computers threaten much of the public-key cryptography currently used to secure digital communications, cloud services, financial transactions, and critical infrastructure. Read more

Supervisors: Dr T Fouotsa, Dr B Magri

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

[School of Natural Sciences PhD Scholarships] Advancing the Joint UK Land Environment Simulator (JULES) through Data Science and Emulation

The University of Manchester

Department of Earth and Environmental Sciences

How can we make urban climate modelling faster and more accessible? This PhD project will use environmental data science to advance the Joint UK Land Environment Simulator (JULES), a core component of the UK’s national weather, climate and environmental modelling infrastructure. Read more

Supervisors: Dr ZZ Zheng, Dr D Topping

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

Building a differentiable AI model of apple tissues

University of Auckland

Auckland Bioengineering Institute

This project aims to develop a fully differentiable, physics-based digital twin of apple tissue that links microstructural, biochemical, and mechanical processes to macroscopic fruit quality outcomes. Read more

Supervisor: Dr J Hussan

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

Automation of fNIRS research by ontological analysis

University of Birmingham

School of Computer Science

Efforts have been made to create guidelines [1] and standards [2] to improve the quality of the fNIRS experimentation and of the fNIRS research in general. Read more

Supervisor: Dr F Orihuela-Espina

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

Manifold based modelling of fNIRS neuroimages

University of Birmingham

School of Computer Science

In order to answer the myriad of specific research questions related to the brain as observed with fNIRS, current fNIRS analysis is based on ad-hoc models, whether from statistics e.g. Read more

Supervisor: Dr F Orihuela-Espina

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

Impact of fluids of different densities (Ref: MA/MM-SF1/2026)

Loughborough University

Department of Mathematical Sciences

The impact of two bodies of liquid, such as droplets, is a phenomenon occurring widely in nature and in engineering applications, from waves breaking onto layers of marine biological matter to streams of different inks in additive manufacturing. Read more

Supervisor: Dr M Moore

31 July 2027 PhD Research Project Self-Funded PhD Students Only

Decoding gastric electrical activity non-invasively

University of Auckland

Auckland Bioengineering Institute

This project offers an exciting opportunity to contribute to the development of new computational tools for the personalised, non-invasive assessment of stomach function. Read more

Supervisor: Dr RA Avci

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

Variational principles and integrable PDEs (Ref: MA/MV-SF1/2026)

Loughborough University

Department of Mathematical Sciences

The focus of the project is to use variational principles, in particular those of Lagrangian multiform theory, to study particular solutions to integrable PDEs. Read more

Supervisor: Dr M Vermeeren

1 April 2027 PhD Research Project Self-Funded PhD Students Only

Enhancing the performance, condition, safety and reliability of offshore wind energy infrastructure systems using optimal inspections and structural health monitoring

University of Aberdeen

School of Engineering

These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Read more

Supervisors: Dr P Omenzetter, Dr P Dunning

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

Design and Analysis of Neural Network-based controllers for unknown systems

Edinburgh Napier University

School of Computing, Engineering & the Built Environment

Mathematical systems and control theory “represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems” [1]. Read more

Supervisors: Dr CG Guiver, Dr S Smith

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

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