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University of Edinburgh

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PhD in Algebra, Geometry and Quantum Fields (Integrated Study) at the University of Edinburgh University of Edinburgh in United Kingdom

Degree Level

PhD

Field of study

Mathematics

Funding

Most PhD students in Mathematics receive full scholarships covering tuition fees and living costs. The CDT aims to fund approximately 8 studentships per cohort, with up to a further 8 students funded through matched funding and other sources. All applicants are automatically considered for studentship funding as part of the application process.

Deadline

Dec 19, 2026

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United Kingdom

University

University of Edinburgh

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Keywords

Mathematics
Theoretical Physics
Quantum Field Theory
Mathematical Physics
Topology
Algebra
Geometry
Gauge Theory
Gravity
Physics
compututional

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About this position

Centre for Doctoral Training in Algebra, Geometry and Quantum Fields PhD with Integrated Study at the University of Edinburgh.

This is a PhD opportunity in the School of Mathematics, delivered through the Algebra, Geometry and Quantum Fields (AGQ) Centre for Doctoral Training, which spans the University of Edinburgh, the University of Glasgow, and Heriot-Watt University.

Research areas include pure mathematics and mathematical/theoretical physics, especially algebra, geometry, topology, quantum field theory, gauge theory, gravity, and related interfaces. The programme also includes advanced computing methods, cohort-based training, group projects, reading groups, and an internship/placement in Year 3.

Funding is strong: most PhD students in Mathematics receive full scholarships covering tuition fees and living costs. All applicants are automatically considered for studentship funding, and the CDT expects to fund around 8 studentships per cohort, with additional students funded through matched and other sources.

Entry requirements include a UK first-class honours degree or international equivalent in a relevant subject, or a UK 2:1 honours degree plus a UK masters degree, or equivalent qualifications and experience. English language evidence is required for all applicants, including UK nationals, with accepted tests including IELTS, TOEFL-iBT, C1 Advanced/C2 Proficiency, Oxford ELLT, and Oxford Test of English Advanced.

Applications are made through the AGQ website. The programme is not currently open for applications, but the next intake usually opens in October. Deadline for 2027 entry: 19 December 2026. There is no application fee.

Funding details

Most PhD students in Mathematics receive full scholarships covering tuition fees and living costs. The CDT aims to fund approximately 8 studentships per cohort, with up to a further 8 students funded through matched funding and other sources. All applicants are automatically considered for studentship funding as part of the application process.

What's required

Applicants need a UK first-class honours degree or international equivalent in an appropriate subject related to the CDT, or a UK 2:1 honours degree plus a UK masters degree or equivalent, or relevant qualifications and experience. English language proficiency is required for all applicants, including UK nationals. Accepted tests include IELTS Academic 6.5 overall with 6.0 in each component, TOEFL-iBT, C1 Advanced/C2 Proficiency, Oxford ELLT, or Oxford Test of English Advanced, subject to validity rules.

How to apply

Apply through the AGQ website using the programme application details page. The programme is not currently open, but applications for the next intake usually open in October. Submit by 19 December 2026 for 2027 entry.

More information can be found here

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