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mathematics PhD Projects, Programmes & Scholarships

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

Hybrid Event-B and Rodin

The University of Manchester

Department of Computer Science

These days, the world is increasingly being populated with systems that interact directly with the physical world. Of course such systems have existed for a long time in niche safety-critical areas, eg. Read more

Supervisor: Dr R Banach

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

The AITHYRA International PhD Call in AI for Biomedicine (all genders)

AITHYRA Institute

PhD Opportunities

AITHYRA, the Research Institute for Biomedical Artificial Intelligence of the Austrian Academy of Sciences in Vienna will open a call for PhD students in September 2026. Read more

Funded PhD Programme (Students Worldwide) Austria PhD Programme

fNIRS neuroimaging data analysis of surgical neuroergonomics

University of Birmingham

School of Computer Science

Evaluating surgical expertise and fitness is of critical importance for patient safety. Read more

Supervisor: Dr F Orihuela-Espina

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

QG-CANE (Quantum Gravity for detection of CAvities from Nuclear Explosions)

University of Birmingham

Department of Civil Engineering

Nuclear explosions are forbidden by the Comprehensive Nuclear Test Ban Treaty (CTBT), with on-site inspection (OSI) forming the final verification regime for determining breaches. Read more

Supervisor: Dr D Boddice

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

Computational Modelling of Nuclear Materials (Ref: CM/PG-SF1/2026)

Loughborough University

Department of Mathematical Sciences

An exciting self-funded PhD opportunity to join the Advanced Materials Modelling (AMM) Group at Loughborough. Pressurisation, corrosion and other factors may pose a threat to the safety and integrity of nuclear material packages in long term storage. Read more

Supervisors: Dr P Goddard, Prof R Smith, Dr K Jolley

1 April 2027 PhD Research Project Self-Funded PhD Students Only

Modelling of phases and interfacial behaviour to enhance sustainability in manufactured products (Ref: MA/DS-SF1/2026)

Loughborough University

Department of Mathematical Sciences

Over recent years the modelling and understanding of complex phases, and their interfacial interactions, has developed at pace. Phases can be a solution of components, a mixture including colloidal particles, or different states such as in a frozen or vapour state. Read more

Supervisor: Dr D Sibley

1 January 2027 PhD Research Project Self-Funded PhD Students Only

Astrophysical Sciences and Technology Ph.D.

Rochester Institute of Technology USA

An astrophysics Ph.D. centered on phenomena beyond the Earth and on the development of the technologies that will enable the next major strides in the field. Read more

Funded PhD Programme (Students Worldwide) PhD Research Programme

Non-Hermitian topological physics

University of Southampton

Faculty of Engineering and Physical Sciences

Supervisory Team. Dr Dong-Yang WANG. This project will be focusing on the research on non-Hermitian topological physics. Frontier research topics of exceptional point/surfaces, non-Hermitian skin effect, and catastrophe theory will be pursued. Read more

Supervisor: Dr D Wang

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

Responsible AI for Health and Social Care and Wellbeing

University of Bradford

Faculty of Engineering & Digital Technologies

The increasing generation, adoption and deployment of Artificial Intelligence (AI) technologies that could impact humanity raise continuously concerns from general public, regulatory bodies and industry. Read more

Supervisor: Prof CD Neagu

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

Data-Driven Numerical Modelling of Materials for High-Temperature Nuclear and Energy Applications

University of Sheffield

School of Mechanical, Aerospace and Civil Engineering

Next-generation nuclear and fusion energy systems place unprecedented demands on structural and functional materials, which must operate reliably under extreme thermal, mechanical, and environmental conditions. Read more

Supervisor: Dr G Torelli

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

Numerical Simulation of Concrete Fracture under Extreme Conditions using Phase-Field Methods

University of Sheffield

School of Mechanical, Aerospace and Civil Engineering

Concrete structures in energy, industrial, and civil infrastructure are frequently exposed to demanding conditions, such as multiaxial mechanical stresses, fire-induced thermal loading, and/or harsh environmental exposure. Read more

Supervisor: Dr G Torelli

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

Data-Driven Numerical Modelling of Material Behaviour for Finite Element Simulation

University of Sheffield

School of Mechanical, Aerospace and Civil Engineering

Modern infrastructure increasingly relies on materials whose composition varies due to local resources, alternative binders, and sustainability-driven formulations. Read more

Supervisor: Dr G Torelli

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

Optical Fibre Applications for Sensors, Lasers or Communications

University of Aberdeen

School of Engineering

These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Read more

Supervisors: Dr K Nakkeeran, Dr T Thevar

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

Generative AI for Inclusive Learning

Edinburgh Napier University

School of Computing, Engineering & the Built Environment

People with learning difficulties often face barriers in traditional education systems because standard teaching tools are not sufficiently adaptive to individual cognitive differences. Read more

Supervisors: Prof AS Sami, Dr OB Bamgboye

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

Real-time forecasting PV output using novel Machine Learning

Edinburgh Napier University

School of Computing, Engineering & the Built Environment

The rapid proliferation of wind and solar installations, coupled with the growing impact of climate change on the volatile UK weather, creates formidable operable challenges for the UK electricity Grid. Read more

Supervisors: Dr Z Cai, Prof AH Hussain

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

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