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mathematics PhD Projects, Programmes & Scholarships

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

Doctoral Students for the DIW Graduate Center PhD Program in Economics

German Institute for Economic Research (DIW Berlin)

PhD Opportunities

The DIW Graduate Center (GC) at the German Institute for Economic Research welcomes applications from highly qualified students from around the world to enroll in its structured doctoral program in Economics. Read more

Funded PhD Programme (Students Worldwide) Germany PhD Programme

Mid-Infrared Hollow-Core Fibres and Lasers

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisors. Dr Ian Davidson, Dr Lin Xu, Prof. Natalie Wheeler. Help build the future of photonics through a PhD developing mid-infrared hollow-core optical fibres and lasers; technologies capable of solving challenges in laser surgery, gas sensing, and additive manufacturing. Read more

Supervisor: Dr I Davidson

31 July 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

How do populations respond to environmental change, and how well can we predict their future?

University of Sheffield

School of Biosciences

We welcome applications from motivated PhD students interested in population ecology, demographic modelling and biodiversity science. Read more

Supervisors: Prof D Childs, Prof A Beckerman

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

The Fibre–Photonic Chip Frontier: Integrating Hollow-Core Fibres with Integrated Photonic Circuits

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisors. Dr Ian Davidson, Dr Yongmin Jung, Prof. Austin Taranta, Prof. Callum Littlejohns. Help shape the future of photonics by turning new ideas into a transformative technology. Read more

Supervisor: Dr I Davidson

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

Hollow core fibre for high power laser applications

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisory team. Dr Gregory Jasion, Mr Gianluca Guerra, and Professor Francesco Poletti. Hollow-core fibres (HCFs) guide light through air. Read more

Supervisor: Dr G Jasion

30 June 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Interstage acoustic liners for ultra-high bypass ratio aero-engines

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisory team. Dr Sergi Palleja Cabre and Dr Chaitanya Paruchuri. Future aeroengines are expected to use shorter nacelles to reduce weight and drag. Read more

Supervisor: Dr S Palleja Cabre

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

Unifying distributional and distribution-free uncertainty quantification for trustworthy medical decisions

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisors. Dr. Nery Riquelme-Granada, Prof. Gabriela Czanner, Prof. Mahesan Niranjan. Read more

Supervisor: Dr N Riquelme-Granada

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

Learning to communicate and collaborate: emergent multimodal communication in embodied agents

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisory team. Dr Daniela Mihai and Professor Jonathon Hare. Robots and embodied agents that collaborate need ways to share what they perceive, intend and need. Read more

Supervisor: Dr D Mihai

30 June 2027 PhD Research Project Competition Funded PhD Project (UK Students Only)

Shaping the Future of Global Communications with Hollow Core Fibres

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisors. Dr Ian Davidson, Prof. Francesco Poletti. Help create the next generation of hollow-core optical fibres for faster, more efficient communications. Read more

Supervisor: Dr I Davidson

31 July 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Can machines invent a visual language we can read? Emergence and interpretability of agent-made symbols

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisory team. Dr Daniela Mihai and Professor Jonathon Hare. Read more

Supervisor: Dr D Mihai

30 June 2027 PhD Research Project Competition Funded PhD Project (UK Students Only)

Polarisation Maintaining Hollow-Core Fibre Fabrication

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisors. Dr Ian Davidson, Prof. Francesco Poletti. Are you interested in fabricating the future of optical fibre technology? In this project you will help to create a new generation of polarisation maintaining optical fibres that rely on revolutionary hollow-core fibre technology. Read more

Supervisor: Dr I Davidson

31 July 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Human-Centred AI for Digital Health: Designing Trustworthy AI Tools with Patients, Practitioners and Communities

Kingston University

Faculty of Engineering, Computing and the Environment

AI is rapidly entering health and care. Large language models (LLMs) are already being used to draft clinical notes, answer patients’ questions, support helpline counsellors and help people find the right service. Read more

Supervisor: Dr D Varghese

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

TREES DLA: Doctoral Training in Environmental Science (UK)

University College London

NERC DLA Training, Research and Equity in Environmental Sciences (TREES)

TREES (Training, Research & Equity in Environmental Sciences) is a cutting-edge doctoral training programme funded by UKRI-NERC. Read more

Funded PhD Programme (UK Students Only) NERC CASE Studentship

Digital Biomarkers for Mobility Decline and Falls in Dementia

University of Southampton

Faculty of Medicine

Supervisory team. Prof Michael Hornberger (Applied Dementia Research, Clinical & Experimental Sciences) and Prof Liudi Jiang (Biomedical Engineering); Faculty of Engineering. Read more

Supervisor: Prof M Hornberger

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

Development of novel flow biocatalytic reactors for a sustainable future

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisor. Professor Annette Taylor. The development of more sustainable methods for production of chemicals is one of the most important challenges in the move towards a low carbon economy. Read more

Supervisor: Dr A Taylor

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

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