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mathematics PhD Projects, Programmes & Scholarships

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

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Computational Chemistry Driven Design of Improved Thermal Batteries

University of Birmingham
School of Chemistry
Thermal batteries (often termed primary reserve batteries) offer several key advantages over primary and secondary batteries due to their long shelf life, high temperature stability, quick activation, reliability, robustness and the fact that they are maintenance-free. Read more
 Supervisor: Prof DS Scanlon
 1 January 2027  PhD Research Project  Funded PhD Project (European/UK Students Only)
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Tomographic Imaging of Dynamic Combustion Plumes

University of Edinburgh
School of Engineering
Reconstructing 3D gas concentration and temperature profiles within dynamic, turbulent plumes from sparse optical measurements is a classic ill-posed inverse problem. Read more
 Supervisors: Dr N Polydorides, Dr C Liu
 11 December 2026  PhD Research Project  Self-Funded PhD Students Only
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Unsupervised Statistical Learning for In-Situ Anomaly Detection in LPBF

University of Edinburgh
School of Engineering
In-situ optical spectroscopy during Laser Powder Bed Fusion (LPBF) captures high-resolution signals encoding the physical state of the melt pool. Read more
 Supervisors: Dr N Polydorides, Dr Y Yang
 14 December 2026  PhD Research Project  Self-Funded PhD Students Only
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Investigating the fidelity of real-world data transformation into Common Data Models: novel measures for the assessment of OMOP data standardisation as a case study (Botnar-2026-05)

University of Oxford
Botnar Research Centre
Real-world data (RWD), routinely collected across various healthcare settings, are increasingly used in observational studies, which are now recognised as valuable complements to traditional randomised controlled trials for informing patient care, healthcare delivery, and policy-making. Read more
 Supervisors: Dr A Delmestri, Assoc Prof S Kiefer, Dr M Pineda-Moncusí
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Privacy-aware Public Trust Infrastructure (PTI) for Elections with AI Fake Detection

Edinburgh Napier University
School of Computing, Engineering & the Built Environment
One fully funded PhD position in the Blockpass Identity Lab at Edinburgh Napier University on a project titled “Privacy-aware Public Trust Infrastructure (PTI) for Elections with AI Fake Detection”. Read more
 Supervisors: Prof B Buchanan, Dr SUJ Ullah Jan
 31 December 2026  PhD Research Project  Funded PhD Project (Students Worldwide)
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Adapting knowledge in machine learning models

University College London
Department of Computer Science
This project will develop machine learning algorithms to cheaply and efficiently adapt knowledge in machine learning / AI models. Read more
 Supervisor: Dr SS Swaroop
 Year round applications  PhD Research Project  Competition Funded PhD Project (UK Students Only)
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Development of a ‘Digital-Twin’ model for Cerebrospinal Fluid Dynamics to use in real-time monitoring of patients after severe Traumatic Brain Injury

University of Cambridge
Department of Clinical Neurosciences
PhD only. Summary. Severe traumatic brain injury (TBI) produces complex and rapidly evolving disturbances in cerebral blood flow, intracranial pressure and cerebrospinal fluid (CSF) dynamics. Read more
 Supervisor: Dr P Smielewski
 8 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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From Imaging Atlases to Computational Models: Understanding Lymphatic Dysfunction in Breast Cancer-Related Lymphoedema

University of Auckland
Auckland Bioengineering Institute
  Research Group: Cancer Imaging Group
About the Project. Breast cancer treatment can disrupt lymphatic drainage, resulting in lymphatic dysfunction and, in some individuals, breast cancer-related lymphoedema (BCRL), a chronic condition characterised by swelling of the upper limb. Read more
 Supervisor: Dr HR Reynolds
 Year round applications  PhD Research Project  Awaiting Funding Decision/Possible External Funding
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Building Sustainable Intelligence: Generative AI at scale

University College London
Department of Computer Science
This project aims to pioneer advancements in the efficiency and scalability of Generative AI Models, focusing on achieving low computational costs at scale without compromising performance. Read more
 Supervisor: Dr JC Chauhan
 Year round applications  PhD Research Project  Funded PhD Project (UK Students Only)
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Multiparameter tissue landscapes: shaping neutrophil functional states

University of Oxford
Kennedy Institute of Rheumatology
Neutrophils represent a major arm of the innate immune defence system, with a long- held view of them being transcriptionally inactive, fast responders, mobilised in response to microbial and tissue insults. Read more
 Supervisors: Prof I Udalova, Prof H Byrne, Dr A Devaprasad
 1 December 2026  PhD Research Project  Funded PhD Project (Students Worldwide)
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AI-Driven Approaches to Real-Time Spatial Audio for Augmented Reality

University of York
School of Physics, Engineering and Technology
  Research Group: Communication Technologies
The future of Augmented Reality (AR) will be shaped as much by sound as by visuals. For AR to feel truly immersive, virtual sound sources must blend seamlessly with the listener’s real acoustic environment, preserving naturalness, depth, and spatial coherence. Read more
 Supervisor: Prof G Kearney
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Creepy Office: Using speculative design methods to explore privacy, security and ethical considerations for connected workplaces

Cardiff University
Cardiff School of Computer Science & Informatics
  Research Group: Cybersecurity, Privacy and HCC Research Section
Project Description. Background. Our workplaces are becoming increasingly connected. While this enables remote work and can improve accessibility, it can also introduce potential issues related to workplace surveillance. Read more
 Supervisors: Dr K Stawarz, Dr S Gould, Dr A Ramirez Gomez
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Physics-Based ML & Predictive Digital Twins for Submarines

University of Derby
STAND-UP DFA
Build a fully physics-based synthetic environment to support the design of nuclear submarine systems, integrating ICME, reliability modelling and AI-assisted digital twins. Read more
 Supervisor: Prof A Maligno
 Year round applications  PhD Research Project  Funded PhD Project (UK Students Only)
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Causal Discovery for Root Cause Analysis and Risk Prediction

University of Strathclyde
STAND-UP DFA
Develop advanced causal inference and uncertainty-aware models to identify hidden root causes and predict long-term risk in nuclear infrastructure and associated assets. Read more
 Supervisor: Prof E Patelli
 Year round applications  PhD Research Project  Funded PhD Project (UK Students Only)
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Mathematical Reasoning Based on Neural-Symbolic System

Xi’an Jiaotong-Liverpool University
Academy of Artificial Intelligence and Advanced Technology
Mathematics plays a critical role in education and technological progress. Recent advancements in AI have significantly improved mathematical reasoning tasks. Read more
 Supervisor: Prof Q Wang
 Year round applications  PhD Research Project  Funded PhD Project (Students Worldwide)
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