Publisher
source

University of East Anglia

PhD Studentship in Formalising the Local Langlands Correspondence for GL₂(F) in Lean University of East Anglia in United Kingdom

Degree Level

PhD

Field of study

Computer Science

Funding

Self-funded PhD studentship. Open to applicants who are self-funded or securing external funding. A bench fee is payable in addition to tuition fees. UEA alumni may be eligible for a tuition fee discount.

Deadline

Nov 30, 2026

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Country

United Kingdom

University

University of East Anglia

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Keywords

Computer Science
Mathematics
Number Theory
Harmonic Analysis
Representation Theory

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About this position

PhD studentship at the University of East Anglia (Norwich campus, United Kingdom) in mathematics, with a focus on number theory, representation theory, formal mathematics, and the Lean theorem prover.

The project is titled Formalising the Local Langlands Correspondence for GL₂(F) in Lean and aims to begin the computer-assisted formalisation of a major theorem in the Langlands program. The research will develop a verified library for the representation theory of GL₂(F) and for two-dimensional Galois representations of the Weil group of F, then build a framework for formalising the proof with the help of AI agents.

Supervisor: Dr. Christopher Birkbeck.

Eligibility: minimum entry requirements are a 2:1 Bachelor's degree and a Master's in mathematics. The opportunity is available for full-time or part-time study.

Funding: self-funded basis; applicants should be self-funded or in the process of securing external funding. A bench fee is payable in addition to tuition fees, and UEA alumni may be eligible for a tuition fee discount.

Deadline: 30 November 2026. Start date: 1 February 2027.

Funding details

Self-funded PhD studentship. Open to applicants who are self-funded or securing external funding. A bench fee is payable in addition to tuition fees. UEA alumni may be eligible for a tuition fee discount.

What's required

Applicants must have at least a 2:1 Bachelor's degree and a Master's degree in mathematics. The project is open to full-time or part-time study. It is offered on a self-funded basis, and applicants should be self-funded or in the process of securing external funding.

How to apply

Contact the primary supervisor for details of the bench fee and project specifics, then apply via the jobs.ac.uk application page. Review the funding and eligibility details before submitting your application.

More information can be found here

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