Overview
The University of Sheffield invites applications for two Research Associate positions funded by the Leverhulme International Professorship grant “Quantum geometry and arithmetic” (PI: Albrecht Klemm). The role is hosted in the Sheffield Algebraic Geometry and Mathematical Physics group within the School of Mathematical and Physical Sciences. Applicants should have a background in enumerative algebraic geometry, quantum field theory/string theory, and/or number theory.
Responsibilities
* Conduct research in topological string theory, mirror symmetry, gauge theory, arithmetics of Calabi–Yau motives, and applications to Feynman integrals.
* Give and attend local working seminars and collaborate with group members.
* Publish high‑quality research papers.
* Maintain systematic records of scientific outcomes.
* Attend international conferences and present group work.
* Plan and manage your own research schedule in line with project milestones.
* Continuously monitor and review research results, accommodating new developments.
* Read relevant academic literature to keep abreast of developments.
* Perform required administrative duties.
* Provide optional undergraduate teaching, e.g., tutorials.
* Carry out other duties commensurate with the grade and remit of the post.
Person Specification
Essential criteria
* A PhD (or equivalent) in Mathematics or Physics, or very close to completion.
* Expertise in enumerative algebraic geometry, quantum field theory, or number theory.
* Clear potential to develop research in at least one of the following topics:
o Dwork's p-adic deformation of Calabi–Yau differential ideals
o Hasse-Weil zeta functions of Calabi–Yau motives and modular properties of topological string amplitudes
o Quasi-modular and almost holomorphic rings in the topological B-model
o Refinement of the topological string on Calabi–Yau manifolds
o Enumerative and homological mirror symmetry
o Stability properties of Gopakumar‑Vafa, Pandharipande‑Thomas, and Donaldson‑Thomas invariants
o Non-perturbative completions of the above
o Evaluation of Feynman integrals via Calabi‑Yau motives
o Applications to quantum field theory and general relativity
* Effective written and verbal communication skills.
* Ability to work independently and as part of a team.
* Ability to conduct innovative research in pure mathematics.
* Personal initiative, reliability and attention to detail.
* Broad interests across pure mathematics and mathematical physics.
Desirable criteria
* Postdoctoral research experience.
* Experience giving presentations and publishing peer‑reviewed journal articles.
Salary and Working Conditions
Salary: £38,784 – £47,389, with potential progression to £51,753. Full‑time, 36‑month appointment. Annual leave pro‑rated with the ability to purchase additional days, pension scheme, flexible working options, and other benefits.
Recruitment Process
Online interviews are anticipated to take place in the week commencing 15 December 2025, with candidates notified of progress on 1 December 2025.
Application
For informal enquiries contact Prof Albrecht Klemm at a.klemm@sheffield.ac.uk.
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