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Loughborough University

Kähler-Einstein Metrics with Conical Singularities Along a Divisor Loughborough University in United Kingdom

Degree Level

PhD

Field of study

Mathematics

Funding

Full funding available

Deadline

Expired

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Country

United Kingdom

University

Loughborough University

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Keywords

Mathematics
Algebraic Geometry
Differential Geometry
Complex Geometry
Analytical Mathematics

About this position

This PhD project at Loughborough University focuses on the study of Kähler–Einstein metrics with conical singularities along a divisor, a topic at the intersection of complex geometry and pure mathematics. These metrics have played a pivotal role in resolving the Tian–Yau–Donaldson conjecture in the Fano case, a breakthrough achieved in 2013 by Chen-Donaldson-Sun. The research will explore the geometric and analytic properties of such metrics, their existence, uniqueness, and applications in modern mathematical theory.

The project is supervised by Dr M de Borbon in the Department of Mathematical Sciences. Candidates will join a vibrant research environment, engaging with advanced topics in differential and algebraic geometry. The work is highly theoretical, suitable for students with a strong mathematical background and a keen interest in geometric analysis.

Applicants should possess a first-class or upper second-class undergraduate degree (or equivalent) in mathematics or a closely related discipline. Prior exposure to geometry, analysis, or complex mathematical structures is advantageous. The position does not specify funding availability, so candidates are encouraged to check for external scholarships or contact the department for further information.

The application deadline is 19 April 2026. Prospective students should apply online via the FindAPhD project link, ensuring all supporting documents are submitted before the deadline. For further details or academic queries, contacting the supervisor is recommended.

Funding details

Full funding including tuition fees and living expenses is available for this position. The scholarship covers all educational costs and provides a monthly stipend.

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