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 in the process of 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) in formal mathematics, number theory, representation theory, and computer-assisted proof.

The project is titled “Formalising the Local Langlands Correspondence for GL₂(F) in Lean” and focuses on building a computer-verified framework in the Lean interactive theorem prover. The research aims to formalise the local Langlands correspondence for GL₂(F), including the representation theory of GL₂(F) over a non-Archimedean local field and two-dimensional Galois representations of the Weil group of F.

This is a mathematically ambitious PhD with a strong formalisation and verification component, and it explicitly mentions leveraging AI agents to support the formalisation effort. The project sits at the intersection of pure mathematics and formal proof engineering, making it suitable for applicants interested in modern mathematical logic, theorem proving, and advanced algebra/number theory.

Funding: self-funded only. Applicants must either 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.

Eligibility: minimum entry requirements are a 2:1 Bachelor's degree and a Master's in mathematics.

Supervisor: Dr. Christopher Birkbeck (University of East Anglia).

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

Funding details

Self-funded PhD studentship. Open to applicants who are self-funded or in the process of 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 self-funded applicants or those securing external funding.

How to apply

Review the PhD advert and contact the primary supervisor, Dr. Christopher Birkbeck, for details of the bench fee and project. Apply through the University of East Anglia PhD application process before the closing date.

More information can be found here

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