Senior Research Associate

The School of Mathematical Sciences at Lancaster University invites applications for a three-year postdoctoral position to work on the EPSRC-funded project “Mutations and geometric models”. The Principal Investigator is Dr. Coelho Simões. 

Calabi-Yau (CY) triangulated categories are ubiquitous in mathematics, particularly in geometry and representation theory. Due to their physical origin, n-CY categories have been extensively studied for n=2,3. However, as a homological condition, the n-CY property can be studied for any integer n meaning there are many more examples: categories naturally arising in modular representation theory, singularity theory, Fuss-Catalan combinatorics, and higher homological algebra are n-CY for n different from 2 and 3. The systematic study of CY categories in these wider contexts is in its infancy and many aspects remain poorly understood. The main aim of the project seeks to provide methods to address this shortfall using mutations and geometric models.

The successful candidate is expected to hold a PhD degree in mathematics or a related discipline, with specialism in one of the fields of homological algebra, representation theory or algebraic combinatorics. Expertise in triangulated categories, representation theory of finite-dimensional algebras, combinatorial/geometric models arising from surfaces, singularity theory or modular representation theory is highly desirable. You will be expected to learn quickly, engage with new ideas, and contribute new insights.

This work will take place in our thriving Pure Mathematics section, which has considerable expertise in algebra, geometry, analysis, probability, and discrete mathematics. Lancaster is one of the UK’s top mathematical science departments, ranked 7th in the most recent Research Excellence Framework, and joint 1st for the impact of its research. The School, which holds an Athena SWAN Bronze Award, strives to provide a supportive and friendly environment for early career researchers, and offers a comprehensive career development programme. You will be able to focus on your research as the post carries no teaching or administrative duties. Teaching experience will be available on a voluntary basis should you wish to gain teaching experience. You will be encouraged to conduct research visits and will have access to travel funds to do so. 

The position starts on 1^st February 2027 (or as soon as possible after), for up to 36 months. When applying, in addition to completing the online application, candidates should attach a full CV, a cover letter, a 1-page research statement describing how your expertise is relevant to this position and your future research plans, and the details of two referees. Interviews will take place in December and will be conducted online.

Please contact Dr Raquel Coelho Simões (r.coelhosimoes@lancaster.ac.uk) for further information or to discuss the post informally.

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