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mathematics PhD Projects, Programmes & Scholarships

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

Decision Tree Induction from Small Language Models for Black-Box LLM Adaptation

Cardiff University

Cardiff School of Computer Science & Informatics

Research Group: Artificial Intelligence and Data Analytics

Project Description. Flagship black-box large language models (LLMs) such as GPT-5 and Gemini-3 perform well across a wide range of tasks, including those that require reasoning or generating explanations. Read more

Supervisors: Dr N Kumar, Prof S Schockaert

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

Explainable AI using human-computer dialogue

Cardiff University

Cardiff School of Computer Science & Informatics

Research Group: Artificial Intelligence and Data Analytics

Project Details. Abstract . With the rise of autonomous intelligent technology, the ability to explain why a particular action was proposed or taken is more urgent than ever. Read more

Supervisors: Dr MWA Caminada, Dr R Booth

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

Intelligent, low-power, and networked biodiversity monitoring device

Cardiff University

Cardiff School of Computer Science & Informatics

Project Description. Note. Read more

Supervisors: Dr J Beuchert, Dr NP Pham

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

Foundation Models for Tactical Understanding in Football (FOUND-Football)

Cardiff University

Cardiff School of Computer Science & Informatics

Project Description. The increasing availability of high-resolution football tracking data has transformed performance analysis, yet most existing machine learning approaches remain task-specific, league-dependent, and poorly transferable. Read more

Supervisors: Dr O Karakus, Dr P Corcoran, Prof P Atkinson

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

Calibrated Multimodal Verification to Prevent Hallucination in Robot Planning and Manipulation

Cardiff University

Cardiff School of Computer Science & Informatics

Project Description. Large multimodal models are increasingly used as high-level “cognitive” modules in robotics, translating natural-language instructions into plans, explanations, and intermediate goal representations. Read more

Supervisors: Dr Y Zhou, Dr JC Camacho Collados, Dr G Cao

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

Explainable Rankings through Computational Argumentation

Cardiff University

Cardiff School of Computer Science & Informatics

Research Group: Artificial Intelligence and Data Analytics

Project Description. Ranking systems are central to decision-making in domains such as sports analytics, search engines, recruitment, and academic evaluations. Read more

Supervisors: Dr R Booth, Dr MWA Caminada

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

Predictive Health Analytics from Integrated Social Service Records: A Natural Language Processing (NLP)-Based Framework for Early Intervention

Cardiff University

Cardiff School of Computer Science & Informatics

Research Group: Artificial Intelligence and Data Analytics

Project Description. Read more

Supervisors: Dr C Perez-Almendros, Dr V Bennett, Prof SM Allen, Dr D Wilkins

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

Safeguarding Language Models: Engineering Protective Responses to Mental Health Crises

Cardiff University

Cardiff School of Computer Science & Informatics

Research Group: Artificial Intelligence and Data Analytics

Project Description. Large Language Models (LLMs) are increasingly embedded in contemporary digital environments, yet their handling of crisis-related interactions remains inconsistent and carries substantial safety risks. Read more

Supervisors: Dr C Perez-Almendros, Dr LES Espinosa-Anke, Dr R Evans

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

Developing an in silico method for restoration of endodontically treated human molar teeth.

University of Liverpool

School of Engineering

The aim of the project is to understand how individual traits like tooth shape and material properties affect the success of various restorations approaches of molar teeth. Read more

Supervisors: Dr RR Readioff, Dr A Sharp, Dr EM Moawad, Prof FJ Jarad

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

Intelligent Medium Access Control for Underwater Acoustic Communication Networks

University of York

School of Physics, Engineering and Technology

Research Group: Communication Technologies

Most research in underwater acoustic communication deals with the physical layer, with primitive and inflexible multiple access, despite the medium access control layer playing a crucial role in providing efficient communication. Read more

Supervisor: Prof P D Mitchell

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

Realistic Underwater Acoustic Propagation Model for Medium Access Control Protocol Evaluation

University of York

School of Physics, Engineering and Technology

Research Group: Communication Technologies

Successful prediction of the performance of medium access control protocols is dependent on a realistic model of the underlying propagation channel. Read more

Supervisor: Prof P D Mitchell

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

Improving the Translation of Diagnostic Test Accuracy Research Into Real‑World Clinical Practice Using Routine Health Data and Advanced Meta‑Analysis Methods

University of Birmingham

Department of Applied Health Sciences

Diagnostic tests are central to effective clinical decision‑making, yet the performance reported in research studies often differs markedly from that observed in everyday NHS settings. Read more

Supervisor: Dr B Willis

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

EPSRC Centre for Doctoral Training in Sustainable Sound Futures

University of Bristol

Noise is a health problem for one in five European citizens. It causes hearing loss, chronic stress, annoyance, sleep disturbance and heart disease. Read more

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

EPSRC Centre for Doctoral Training in Sustainable Sound Futures

University of Salford

Noise is a health problem for one in five European citizens. It causes hearing loss, chronic stress, annoyance, sleep disturbance and heart disease. Read more

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

EPSRC Centre for Doctoral Training in Sustainable Sound Futures

University of Sheffield

Noise is a health problem for one in five European citizens. It causes hearing loss, chronic stress, annoyance, sleep disturbance and heart disease. Read more

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

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