Research Associate – Algebraic Number Theory
Position funded by the EPSRC Grant “Sharifi conjecture for Bianchi 3-manifolds” held by Dr Tobias Berger. Fixed‑term 36‑month appointment commencing 1 Oct 2026, at the School of Mathematical and Physical Sciences, University of Sheffield.
Salary: £38,784 – £47,389 per annum. Full‑time (hybrid) contract.
Overview
The project develops new tools in the deformation theory of residually reducible Galois representations and studies the cohomology of Bianchi 3‑folds using algebraic K‑theory to prove Sharifi’s conjecture, a key open problem in the Langlands programme.
Responsibilities
* Contribute to and support the research group through seminars and collaborations.
* Prepare high‑quality research publications.
* Publish papers and present at national and international conferences.
* Attend international conferences and give talks on the group’s research.
* Study academic literature to stay abreast of developments and brief colleagues.
* Teaching experience may be available if interested; no teaching is required.
* Make ethical decisions and embed the University sustainability strategy in work activities.
* Carry out other duties commensurate with the grade.
Qualifications
* PhD in pure mathematics or equivalent experience (or evidence of working towards qualification).
* Strong background in algebraic number theory or arithmetic algebraic geometry, with expertise in:
o Cohomology of arithmetic groups
o Algebraic K‑theory
o Deformations of Galois representations
* Experience of post‑doctoral research.
* Interpersonal skills for effective working relationships.
* Experience of report writing, giving presentations, and publishing research.
* Ability to work independently and as part of a team.
* Ability to handle multiple simultaneous demands and activities.
* Proven ability to conduct innovative, cross‑disciplinary research in pure mathematics.
* Ability to organise resources, plan and progress work activities, and meet deadlines.
* Ability to show personal initiative, reliability, and attention to detail.
* Evidence of research innovation.
Benefits
* A minimum of 41 days annual leave (pro rata) with the possibility to purchase additional days.
* Flexible working opportunities, including hybrid working for some roles.
* Generous pension scheme.
* Wide range of discounts and rewards on shopping, eating out and travel.
* Staff networks providing opportunities for social interaction, peer support and personal development (e.g., Race Equality, LGBT+, Women’s and Parent’s networks).
* Recognition Awards for staff who go above and beyond.
* Commitment to development with access to learning and mentoring schemes.
* Family‑friendly policies, including paid time off for parenting and caring emergencies, menopause support, fertility treatment support and more.
Line Manager: Senior Lecturer.
We are a Disability Confident Leader. Qualified candidates with a disability will be invited to the next stage of the selection process.
Possession of a criminal record is not an automatic bar to employment at the University of Sheffield.
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