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Cambridge Mathematics Open Internships

The Faculty of Mathematics at the University of Cambridge is committed to widening participation in postgraduate studies in mathematics.  We wish to encourage the study of advanced mathematics by everyone with the capacity and inclination to do so.

In selecting for this programme, consideration will be given to our objective to widen participation in mathematical research, paying particular attention to ethnicity.  The University will be using positive action under the Equality Act 2010 to tackle the underrepresentation of, and overcome the disadvantage experienced by, certain groups. 

The Cambridge Mathematics Open Internships Programme is a funded summer research opportunity intended for students in mathematics who are in their late undergraduate (second year and above) or Master’s studies at a UK university other than Cambridge, and who would like to gain first-hand experience as a researcher at the Centre for Mathematical Sciences (CMS) at the University of Cambridge. 

As a mathematics intern, you will be given the opportunity to conduct your own summer research project together with leading mathematicians in Cambridge.  You will be able to develop and extend your research skills, learn how to communicate your work to others, and build a strong academic profile.  This will enable you to gain the research experience to apply for PhD positions if you wish to do so.  During your time at the CMS, you will become part of a research team and experience the life of a research student.  As part of a wider mathematical community and with the help of our student mentors, you will be given the chance to learn from and hear about the experiences of Cambridge mathematics PhD students and connect with a network of mathematicians in your area of interest. At the end of your internship, you will have the opportunity to present your work in a final report.

Programme Summary

  • Up to three funded placements are available for summer 2026
  • Each internship will run for 8 weeks: Monday 6 July to Friday 28 August 2026
  • Interns will be paid the National Living Wage plus holiday pay
  • All placements are in person and will be based at the Centre for Mathematical Sciences, University of Cambridge
  • Interns will be mentored by current PhD students and integrated into the relevant research group / department for the duration of the placement
  • Application deadline: Tuesday 17 February 2026

Find out more

Read more at: Eligibility

Eligibility

Check here to see if you are eligible to apply.


Read more at: Pay and Benefits

Pay and Benefits

Information about pay and other benefits.


Read more at: How to Apply

How to Apply

Find out what you need to do to apply


Read more at: Projects

Projects

Projects available for summer 2026 applications will be listed on this page from 19 January 2026.



Read more at: Programme Structure

Programme Structure

There's more to it than the opportunity for research.  Find out what else makes up the programme.


Read more at: Cambridge Mathematics Open Interns and Past Projects

Cambridge Mathematics Open Interns and Past Projects

Projects and Open Interns from previous years


Read more at: Supporters

Supporters

The Cambridge Mathematics Open Internships programme is possible thanks to funding provided by the Faculty of Mathematics and the generous support of our corporate and individual donors.

Read more at: Contact

Contact

Please write to us on visitingstudents@maths.cam.ac.uk with any questions.