Research Associate in Pure Mathematics

2 months ago


Oxford, United States The University of Manchester Full time

Applications are invited for a Research Associate in Pure Mathematics, to start on 1 January 2025, or as soon as possible thereafter, for a fixed term of three years.

You will work with Dr Vahagn Aslanyan on the EPSRC-funded project “Model theory, Diophantine geometry, and automorphic functions”. The main aim of this project is to make progress on two major problems at the boundary between model theory, complex geometry, and number theory – the Existential Closedness and Zilber-Pink conjectures for automorphic functions together with their derivatives – and to explore the connections between them. Zilber-Pink is a far-reaching generalisation of some famous Diophantine conjectures (André-Oort, Manin-Mumford, Mordell-Lang) concerned with "special" solutions of polynomial equations. Existential Closedness is about solvability of systems of equations involving addition, multiplication, and certain "classical" functions, e.g. the complex exponential function or the modular j-function. You can choose to work on either of these problems or both. The post will be suitable for someone with background in one or more of these areas: complex analysis/geometry, applied model theory, Diophantine geometry, o-minimality and applications in Diophantine geometry, differential algebra.

The Department and University are committed to the well-being and work-life balance of all staff. We have a package of family-friendly policies covering flexible working, career breaks and entitlement to paid maternity, paternity and adoption leave. For more details on these and other benefits see 

The Department is fully committed to Athena SWAN principles to promote women in science and is a supporter of the LMS Good Practice Scheme; for more details of our activities relating to Social Responsibility see 

What you will get in return:

Fantastic market leading Pension scheme Excellent employee health and wellbeing services including an Employee Assistance Programme Exceptional starting annual leave entitlement, plus bank holidays Additional paid closure over the Christmas period Local and national discounts at a range of major retailers

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