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mathematics PhD Projects, Programmes & Scholarships

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

Accelerating Large Language Models and Physical AI

University of Bristol

School of Engineering Mathematics and Technology

Large Language Models (LLMs) and Physical AI systems such as world models are transforming how machines understand language and interact with the physical world, but training and deploying them requires enormous computation, driving up electricity costs and carbon emissions. Read more

Supervisor: Dr GH Hu

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

Advancing AI for Finance: Model Development and Intelligent Decision-Making

University of Bristol

School of Engineering Mathematics and Technology

This project explores the development of advanced AI and machine-learning models for intelligent financial decision-making, with applications in risk management, algorithmic trading, and financial forecasting. Read more

Supervisor: Dr WW Wei

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

Development and application of multispecies spatial capture-recapture models

University of St Andrews

School of Mathematics and Statistics

Research Group: Centre for Research into Ecological and Environmental Modelling

Spatial capture-recapture is a widely used framework for estimating animal density and distribution for data collected from a variety of ecological monitoring approaches, including camera trapping and acoustic surveys. Read more

Supervisors: Dr BS Stevenson, Prof J Matthiopoulos, Dr C Sutherland

5 January 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Last chance to apply

PhD in Civil Engineering - Future steel connections integrating machine learning and optimised 3D-printed metals (FUSION)

University of Glasgow

College of Science and Engineering

Start date. December 2026. The aim of this project is to produce a reliable and full characterisation of the mechanical behaviour of 3D-printed stainless steel, enabling its safe use in the design of sustainable and resilient steel and stainless steel hybrid structures. Read more

Supervisors: Dr MCD Cabrera Duran, Dr PG Grassl

20 November 2026 PhD Research Project Funded PhD Project (UK Students Only)

Permafrost subsidence and greenhouse gas release in the Canadian Arctic (Mackenzie Delta): a low-carbon satellite and AI approach

Northumbria University

School of Engineering, Physics and Mathematics

This PhD is part of the Net Zero Polar Science DTP, which aims to make polar science possible in a net zero world. For further details visit https://nzps-dtp.ac.uk/. Read more

Supervisors: Dr V Agarwal, Prof M Lim, Dr KM Miles

6 January 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Mineral Weathering Controls on Arctic CO₂ Budgets: Quantifying the Hidden Permafrost Carbon Source

Northumbria University

School of Engineering, Physics and Mathematics

This PhD is part of the Net Zero Polar Science DTP, which aims to make polar science possible in a net zero world. For further details visit https://nzps-dtp.ac.uk/. Read more

Supervisors: Dr A Alex, Prof M Lim, Dr Y Dhandapani

6 January 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Algorithmic stability in machine learning

University of Cambridge

Department of Applied Mathematics and Theoretical Physics

AI_CDT_DecisionMaking. Details. Algorithmic stability has recently been emerging as an umbrella concept in theoretical statistics, machine learning, and computer science. Read more

Supervisors: Dr PLL Loh, Dr GG Gursoy

4 December 2026 PhD Research Project Competition Funded PhD Project (UK Students Only)

Learning to See CP Violation: AI for Unbiased Searches for New Physics at LHCb

University of Cambridge

Department of Applied Mathematics and Theoretical Physics

AI_CDT_DecisionMaking. Details. Precision measurements of CP violation in b-hadron decays are one of the most powerful indirect probes of physics beyond the Standard Model (SM). Read more

Supervisors: Dr MK Kenzie, Prof CP Parkes

4 December 2026 PhD Research Project Competition Funded PhD Project (UK Students Only)

Last chance to apply

EASTBIO Data-driven biology from imperfect observations: integrating professional and citizen-science biodiversity data

University of St Andrews

School of Mathematics and Statistics

Research Group: Centre for Research into Ecological and Environmental Modelling

Environmental regulators rely on biological monitoring to assess the condition of rivers and detect ecological change, but high-quality professional monitoring is expensive and consequently limited in its spatial and temporal coverage. Read more

Supervisors: Dr FJC Chadwick, Dr IM Matthews, Dr JG Gray, Dr SG Green

16 November 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Last chance to apply

EASTBIO The evolutionary fate of new mutations

University of St Andrews

School of Mathematics and Statistics

Research Group: Statistical Medicine and Molecular Biology

Every evolutionary change begins with a new mutation. But what happens to a new mutation once it appears? Does it help an organism survive and reproduce, or does it disappear without leaving a trace? How these new mutations affect evolution remains an open question in evolutionary biology. Read more

Supervisors: Dr R Borges, Dr C Kosiol

16 November 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Last chance to apply

Algorithms/Hardware Co-Design for Bayesian and Ising Models

Northeastern University London

Faculty of Computing, Mathematics, Engineering & Natural Sciences

As part of a major investment, Northeastern University London (NU London) offers PhD studentships to support interdisciplinary research across the humanities, social sciences and digital sciences. Read more

Supervisor: Prof B Rajendran

15 November 2026 PhD Research Project Funded PhD Project (Students Worldwide)

Adaptive finite element methods for induction heating

University of Strathclyde

Department of Mathematics & Statistics

Induction heating is present in diverse industrially-relevant processes such as heating for forging. operation, quenching, hardening, brazing, etc. Read more

Supervisors: Dr G R Barrenechea, Dr A Andreu

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

Interpretable probabilistic AI for quantifying climate impacts on health

University of Exeter

Mathematics and Statistics

Background. Climate change is affecting human health, but evidencing how and by how much, is a challenge. The effects are often indirect, driven by interacting factors like temperature and air quality, while health data are frequently patchy or incomplete. Read more

Supervisors: Dr T Economou, Dr J Salter

13 January 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Tracking uncertainties from future storms to hazards and decisions

University of Exeter

Mathematics and Statistics

Background. Extratropical storms are a major driver of weather and climate variability across the mid-latitudes, bringing strong winds and heavy precipitation that can cause widespread disruption and economic losses. Read more

Supervisors: Dr J Catto, Dr H Mohammadi

13 January 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Artificial Intelligence Approaches to Diabetic Foot Ulcer Risk Identification and Early Intervention

University of Portsmouth

School of Computing, Mathematics and Physics (SCMP)

This PhD will design, develop, and evaluate AI-based approaches to diabetes foot ulcer (DFU) prevention, from risk identification, clinical decision support up to the data quality challenges that underpin reliable model development. Read more

Supervisors: Dr E Andrikopoulou, Dr G Golcarenarenji, Dr T Adedeji

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

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