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mathematics PhD Projects, Programmes & Scholarships

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

AI optimisation via robust and sustainable fusion of perception sensors’ data in Intelligent Vehicles.

Queen Mary University of London

School of Engineering and Materials Science

Automated Systems in the field of intelligent transportation (from vehicles to drones and beyond) have made significant progress in the last 10 years, for example reaching the level of services like ‘Robot-taxis’ by Waymo, Cruise, Pony.ai in different countries. Read more

Supervisor: Prof V Donzella

31 January 2027 PhD Research Project Funded PhD Project (UK Students Only)

Fueling Net-Zero: Advanced CFD and Multi-Physics Modelling for Carbon-Free Fuels (Ref: AAE-TH-2612)

Loughborough University

Department of Aeronautical and Automotive Engineering

The global transition toward a low-carbon economy requires immediate, scalable solutions for industrial power generation. Carbon-free ammonia (NH3) and hydrogen (H2) have emerged as essential fuels; however, their combustion characteristics present significant challenges. Read more

Supervisors: Dr TL Howarth, Dr A Garmory

1 April 2027 PhD Research Project Funded PhD Project (UK Students Only)

Causal inference and trial emulation for ecological and/or environmental observational data

University of St Andrews

School of Mathematics and Statistics

Conducting formal causal inference for ecological and/or environmental data is challenging due to the complex observational processes that are usually involved. Read more

Supervisors: Dr BS Swallow, Dr H Worthington

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

Improved survival analyses in molecular cancer studies

University of St Andrews

School of Mathematics and Statistics

Research Group: Statistical Medicine and Molecular Biology

A common challenge in cancer studies concerns the topic of survival analysis; that is, the question of modelling the time until an event happens, where that may mean literal survival or an event such as biochemical recurrence (BCR) or metastasis. Read more

Supervisors: Dr M Papathomas, Prof A Lynch

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

Statistical literacy in a world of AI

University of St Andrews

School of Mathematics and Statistics

Statistical literacy is the interpretation, critique, and communication of statistical information. Read more

Supervisors: Dr CJT Jones-Todd, Dr C Sutherland, Dr SB Budgett

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

Musculoskeletal and physiological responses to short-term vortex wave stimulation in older adults

University of Birmingham

School of Sport, Exercise and Rehabilitation Sciences

Reductions in muscle mass and function are known to occur with ageing and disuse. While resistance exercise training is known to minimise these detrimental changes, it is not always feasible due to counterindications or personal preferences. Read more

Supervisor: Dr J Quinlan

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

Last chance to apply

PhD Optimised Placement of Orthopaedic Staples – Image-Based Finite Element Modelling and Structural Optimisation

Heriot-Watt University

School of Energy, Geoscience, Infrastructure and Society

Research Group: Institute of Sustainable Built Environment

Orthopaedic staples are widely used to fix bones and joints in foot and ankle surgery, for example in arthrodesis (joint fusion) and osteotomy procedures. Read more

Supervisor: Dr G Vasdravellis

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

Last chance to apply

EASTBIO: Cortico-hypothalamic computations for neural control of feeding

University of Edinburgh

School of Neurological and Cardiovascular Sciences (College of Medicine and Veterinary Medicine)

Recent weight-loss medications have revolutionised obesity treatment at the population level, but sustaining long-term behavioural change in individual patients remains a challenge. Read more

Supervisors: Dr M Karnani, Dr NK Kudryashova

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

Study of reactivity in supramolecular materials

University of Birmingham

School of Chemistry

This position is a fully funded 4 year PhD studentship in the group of Dr Georgia Orton (https://ortonlab.uk/). This PhD research project will explore how molecular-level organisation and self-assembly can be harnessed to provide new synthetic routes to otherwise inaccessible materials. Read more

Supervisor: Dr G Orton

7 December 2026 PhD Research Project Funded PhD Project (UK Students Only)

Rational points and arithmetic statistics

University of Bath

Department of Mathematical Sciences

This is a PhD position to join the EPSRC programme grant, Unifying Arithmetic Statistics. This programme grant runs for 5 years starting in October 2026 and is joint between Bath, Kings College London, Cambridge, and Glasgow. Read more

Supervisor: Dr D T Loughran

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

Understanding and reducing norovirus transmission in early years settings: economic and behavioural approaches (TURNERD_U27NIHRMED)

University of East Anglia

Norwich Medical School

Norovirus is a major cause of infectious intestinal disease (IID) in the UK, with early years childcare settings acting as important amplifiers of transmission. Read more

Supervisor: Mr DT Turner

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

Gas flows around the smallest galaxies

University of Bath

Department of Physics

Dwarf galaxies are the most abundant galaxies in the Universe, yet they remain among the least understood. Their shallow gravitational wells make them exquisitely sensitive to the energy released by stars and supernovae, which can drive gas, and the heavy elements it carries, far beyond the visible galaxy. Read more

Supervisors: Dr MR Rey, Prof S Wuyts

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

Trustworthy AI for personalised disease risk prediction using genetic and clinical data

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisors. Dr Gabriela Czanner and Professor Hanieh Yaghootkar. Read more

Supervisor: Prof G Czanner

17 June 2027 PhD Research Project Competition Funded PhD Project (European/UK Students Only)

Continuous affective control for generative AI

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisor. Dr Zhiwu Huang. How can AI create images that express emotion as naturally and flexibly as people do? This PhD will develop next-generation generative AI that enables continuous, reliable control of emotional expression in images. Read more

Supervisor: Dr Z Huang

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

Last chance to apply

AI-Enhanced Quantum Sensors: Building Smart Quantum Technology

Heriot-Watt University

Institute of Photonics and Quantum Sciences (IPaQS)

Project overview. Artificial intelligence is transforming science. Quantum technologies are expected to transform sensing, imaging, healthcare and computing. Read more

Supervisor: Prof Cristian Bonato

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

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