Research Assistant/PhD Study in Arithmetic Geometry (Fixed Term)

We are seeking an applicant for a fully-funded ERC Research Assistant position with the opportunity to undertake PhD studies in number theory and arithmetic geometry led by Prof. Jack Thorne in the Department of Pure Mathematics and Mathematical Statistics. 

This position is advertised in connection with the PI's ERC Consolidator Grant project `Modularity and Reciprocity: a Robust Approach'. The focus of this project is the arithmetic aspect of the Langlands programme, which aims to study the relation between automorphic forms and Galois representations. Relevant topics to be investigated include the deformation theory of Galois representations, the cohomology of arithmetic groups and Shimura varieties, and the representation theory of reductive groups with coefficients in locally compact topological rings. 

Duties include undertaking your own program of research and assisting with ongoing research programmes; writing up results for publication; and presenting your work to colleagues at conferences or seminars, both internally and externally. You may also be asked to assist in organizing various seminars and study groups. During the period of funding for this role, you will be eligible to complete your PhD studies. 

The successful candidate will have a Master's degree in pure mathematics by the start date of the position and should have relevant background knowledge in number theory, arithmetic geometry, and the theory of automorphic forms. 

Start date: 1 September 2025 

Fixed-term: The funds for this post are available for 4 years. 

To apply online for this vacancy and to view further information about the role, please click 'Apply' above.

Please indicate the contact details of two academic referees on the online application form and upload a full curriculum vitae. Please ensure that at least one of your referees is contactable at any time during the selection process, and is made aware that they will be contacted by the Mathematics HR Office Administrator to request that they upload a reference for you to our Web Recruitment System; and please encourage them to do so promptly. 

The closing date for applications is 2 March 2025. 

Informal inquiries can be made by contacting Prof Jack Thorne at jat58@cam.ac.uk. 

For queries regarding the application process, please email LF45062@maths.cam.ac.uk. 

Please quote reference LF45062 on your application and in any correspondence about this vacancy. 

The University actively supports equality, diversity, and inclusion and encourages applications from all sections of society. We particularly welcome applications from women and candidates from a BAME background for this vacancy as they are currently under-represented at this level in our Department. 

The University has a responsibility to ensure that all employees are eligible to live and work in the UK.

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