EPSRC DTP Internship: Frieze Patterns and Farey Complexes

4 weeks ago

Milton Keynes, United Kingdom The Open University Full time

Please note this position will be employed via a temporary staff agency.

Location: Hybrid. The supervisors will be available at Milton Keynes campus to meet regularly. Home based students are also invited to apply – meetings can be online if needed. 

Please quote reference: STEM Internships (please quote the full title of the role you wish to apply for)

Terms: 10 weeks full-time, 37 hours per week or pro-rata for part-time. Work hours to suit the applicant. Meetings will take place during Monday to Friday 10 to 4. Suggested start, end of June/beginning of July.

The role

In this project you will explore how combinatorics, geometry, and number theory come together in the study of frieze patterns. These patterns were first introduced in the 1970s by Donald Coxeter, and they have attracted significant interest recently, in part because of connections with the subject of cluster algebras.  

You will learn how the theory of frieze patterns can be understood using combinatorial objects known as Farey complexes. These complexes are fascinating objects, some of which carry a geometric structure associated to hyperbolic geometry.  

Your research project will be to understand the connections between frieze patterns and the geometry of the associated complexes and to create visualisations to illustrate these connections.

The full summary of duties and person specification can be found within the Job Description.

If you would like further details about the role before making an application, then please email stem-research-student-support@open.ac.uk quoting the reference number and job title. For academic enquiries about the project, contact the principal supervisor Ian Short ian.short@open.ac.uk.

How to apply

To apply for this role please email the following two documents to stem-research-student-support@open.ac.uk by 5pm (BST) Tuesday 7th May 2024.

  • CV
  • Cover letter including evidence that you have the essential skills and explaining why you want to carry out this project

Please make sure your surname and the job reference (at the top of this page) are included in the file names.

Please note: If you have not heard from us within 2 weeks of the application closing date, please assume that on this occasion you have not been selected for interview, however we thank you for your interest in The Open University and encourage you to apply for future positions. 

The Open University is committed to equality, diversity and inclusion which is reflected in our mission to be open to people, places, methods and ideas. We aim to foster a diverse and inclusive environment so that all in our OU community can reach their potential.  We recognise that different people bring different perspectives, ideas, knowledge, and culture, and that this difference brings great strength.  We strive to recruit, retain and develop the careers of a diverse pool of students and staff, and particularly encourage applications from all underrepresented groups. We also aspire to make The Open University a supportive workplace for all through our policies, services and staff networks.

£12 per hour

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