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mathematics PhD Projects, Programmes & Scholarships

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

Multimodal World Models for Reasoning about the Physical World

University of Bristol

School of Engineering Mathematics and Technology

Current AI systems are good at recognising and describing what they see, and large language models can reason fluently about the world in text. Read more

Supervisor: Dr CT Tang

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

Fully discrete computational methods in high dimensions

The University of Manchester

Department of Mathematics

High-dimensional computations are ubiquitous in science and engineering, often arising from models with numerous parameters. Read more

Supervisor: Dr Y Kazashi

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

Mixing of cohesive and wet materials

The University of Manchester

Department of Mathematics

This PhD project focuses on the simulation and modelling of wet and cohesive powders, which play a crucial role in industries such as pharmaceuticals, food processing, and additive manufacturing. Read more

Supervisor: Dr A Thornton

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

Multimodal Learning for Human-Centered Healthcare: Motion Understanding and Medical Imaging

University of Bristol

School of Engineering Mathematics and Technology

Project summary and focus. The project aims to develop multimodal machine learning methods for advanced healthcare data analysis. Read more

Supervisor: Dr QM Men

28 February 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Scalable Intelligent Planning for Partially Observable Uncertain Systems

University of Bristol

School of Engineering Mathematics and Technology

The stability of modern life builds on sustainable, continuous operation of large-scale infrastructure, such as power grids, water networks, and transportation systems. Read more

Supervisor: Dr KZ Zhang

28 February 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Adaptive numerical algorithms for PDE problems with random inputs

University of Birmingham

School of Mathematics

PhD Studentship in Numerical Analysis and Scientific Computing . The project concerns the numerical solution of partial differential equations (PDEs) with uncertain inputs (e.g., material properties, external forces, geometry of the computational domain). Read more

Supervisor: Dr A Bespalov

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

ACCE+ DLA Programme: How biodiversity persists: Multiscale drivers of community stability

University of York

Department of Biology

ACCE+ DLA is committed to recruiting extraordinary future scientists regardless of age, disability, ethnicity, gender, gender identity, sexual orientation, faith or religious belief, pregnancy or maternity, parental or caring responsibilities or career pathway to date. Read more

Supervisors: Dr I Martins, Dr HW White, Prof C Beale

7 January 2027 PhD Research Project Competition Funded PhD Project (UK Students Only)

ACCE+ DLA Programme: Disentangling range shifts and abundance dynamics to predict species' responses to environmental change

University of York

Department of Biology

ACCE+ DLA is committed to recruiting extraordinary future scientists regardless of age, disability, ethnicity, gender, gender identity, sexual orientation, faith or religious belief, pregnancy or maternity, parental or caring responsibilities or career pathway to date. Read more

Supervisors: Prof C Beale, Dr D Bowler

7 January 2027 PhD Research Project Competition Funded PhD Project (UK Students Only)

Medical AI: From 3D Imaging and Vision-Language Models to Surgical Robotics and Clinical Agents

University of Birmingham

School of Computer Science

Research Group: Digital Healthcare and Medical Imaging Research Group

Applications are welcome from prospective PhD students, research master students, and visiting scholars who are interested in developing advanced artificial intelligence methods for healthcare. Read more

Supervisor: Dr L Z Zhang

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

Durability of heritage masonry structures in a changing climate

Imperial College London

Department of Civil & Environmental Engineering

With whom? Supervisor. Dr Evzen Korec (Imperial College London), Second Supervisor. Prof Ambrose Taylor (Imperial College London), External supervisor. Read more

Supervisor: Dr E Korec

12 November 2027 PhD Research Project Funded PhD Project (Students Worldwide)

Fully Funded PhD Studentship in AI-Based GNSS Spoofing Detection

University College London

Department of Electronic and Electrical Engineering

Applications are invited for a funded PhD studentship in resilient positioning, navigation and timing (PNT), machine learning and RF signal processing at University College London (UCL), in collaboration with the Defence Science and Technology Laboratory (Dstl). Read more

Supervisor: Prof M Ritchie

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

Load, Swing, Strike: Optimal Control of Robots Exploiting Elastic Tool Dynamics (Ref: SF-PH-2027)

Loughborough University

Wolfson School of Mechanical, Electrical and Manufacturing Engineering

When you swing a hammer, axe or fishing rod, you do not simply drive it along a planned path. You store energy in the tool and in your own tendons, then release it at the right moment. Read more

Supervisor: Dr P Hubbard

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

Trustworthy AI and Digital Twins for Sustainable and Resilient Manufacturing (Ref: SF-CG-2027)

Loughborough University

Wolfson School of Mechanical, Electrical and Manufacturing Engineering

Manufacturing industries are under increasing pressure to improve productivity, resilience, traceability, and sustainability while supporting the transition to a low-carbon economy. Read more

Supervisor: Prof C Giannetti

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

Uncovering the role of atmospheric transport in shaping dryland biogeography with physics and machine learning

University of Reading

Department of Geography and Environmental Science

Over the last four decades, about 5 million km² of humid land has turned into dryland, and a warming climate is expected to expand drylands further. Read more

Supervisor: Dr A Koppa

8 January 2027 PhD Research Project Funded PhD Project (Students Worldwide)

Understanding the nonlinear response of vegetation to aridification over the last millennium

University of Reading

Department of Geography and Environmental Science

Over the last four decades, about 5 million km² of humid land has turned into dryland, and a warming climate is expected to expand drylands further. Read more

Supervisor: Dr A Koppa

8 January 2027 PhD Research Project Funded PhD Project (Students Worldwide)

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