Maths and Cryptography Internship

Job summary

Attendance payment: £5,528 over nine weeks (£31,937 pro-rata)

Dates of Internship: Monday 21 June until Friday 20 August 2027

Hours of Internship: full-time (37 hours a week, Monday to Friday). For the first two weeks, you’ll need to attend 9am to 5pm. After that, flexitime may be available, subject to agreement and depending on events taking place on certain days. Please note that this is an office-based role for the duration of the internship – remote or home working is not available.

About us

GCHQ is an intelligence, cyber and security agency with a mission to keep the UK safe. We use cutting-edge technology, ingenuity and partnerships to identify, analyse and disrupt threats. Working with our intelligence partners MI5 and MI6, we protect the UK from terrorism, cyber-attacks and espionage. At GCHQ you’ll do varied and fascinating work in a supportive and inclusive environment that puts the emphasis on teamwork.

Job description

The role

On our Maths and Cryptography Internship, you’ll work on projects which are of real, operational interest to our organisation. Throughout this nine-week paid internship you’ll work with other undergraduate students to collaboratively conduct innovative research, supported by technical experts in their fields.

GCHQ is keen to invest in enhancing your maths and programming skills. You’ll have the opportunity to work on multiple technical projects, which in the past have included:

• assessing cryptographic algorithms
• analysing complex data sets
• developing new statistical tools
• applied machine learning and machine learning research
• programming high-performance computers
• doing cutting-edge mathematical research

The 2027 Maths and Cryptography Internship will run from Monday 21 June until Friday 20 August 2027. The role is based in Cheltenham. We can arrange temporary accommodation for you close to GCHQ and with other interns, which would be paid in arrears from your internship payment. Please consider any financial implications and practicalities before submitting an application.

At the end of the internship, you’ll have the opportunity to apply to join the organisation through the next Maths and Cryptography Roles recruitment campaign. If you choose to make an application to GCHQ following the internship, then you’ll need to go through the same competitive selection process for this scheme as external candidates in order to join.

Person specification

About you

You need to be currently studying for an undergraduate degree (Bachelors, Integrated Masters, or equivalent) in mathematics, or a Joint Honours subject with mathematics as the main component. By the start date of the placement (June 2027), you’ll have completed a minimum of two taught years of your degree (or equivalent for part-time courses) and should be on track to achieve a 2:1 qualification. Please note that the Scottish foundation year does not count towards the minimum two taught years.

You’ll already have at least an A in A-level maths (or equivalent).

We’ll look for evidence of sound mathematical grounding and ability, although we don’t require specialisation in any particular areas. Previous programming experience is useful but not essential, as training will be provided. You’ll also have a love for solving problems and an interest in developing new skills.

Benefits

Training and development

At GCHQ we’re proud of our inclusive and supportive working environment. Due to the nature of our work, the projects you’ll be working on may include technical areas where you have little existing knowledge. However, our training programme will cover all the relevant mathematical topics and programming skills required and will give you plenty of opportunities to develop. Additionally, each project will be supported by experienced members of our technical community who will provide technical expertise.

The internship will give you a unique opportunity to gain an insight into our ways of working and you’ll gain skills and experience through coaching and mentoring from our current mathematicians. A summer with us will give you a good introduction to where your career could take you and lead to other opportunities, including our maths and cryptography roles.

Rewards and benefits

You’ll receive a payment of £5,528 (£31,937 pro-rata, over the 9-week programme) plus other benefits including:

• 4.5 paid days off that you can use during the internship
• Flexible working hours for most of the summer
• Facilities such as a subsidised gym and restaurant, and on-site coffee bars.

Things you need to know

Artificial intelligence

Artificial intelligence can be a useful tool to support your application, however, all examples and statements provided must be truthful, factually accurate and taken directly from your own experience. Where plagiarism has been identified (presenting the ideas and experiences of others, or generated by artificial intelligence, as your own) applications may be withdrawn and internal candidates may be subject to disciplinary action. Please see our candidate guidance (opens in a new window) for more information on appropriate and inappropriate use.

Selection process details

Equal opportunities

At GCHQ diversity and inclusion are critical to our mission. To protect the UK, we need a truly diverse workforce that reflects the society we serve. This includes diversity in every sense of the word: those with different backgrounds, ages, ethnicities, gender identities, sexual orientations, ways of thinking and those with disabilities or neurodivergent conditions. We therefore welcome and encourage applications from everyone, including those from groups that are under-represented in our workforce such as women, those from an ethnic minority background, people with disabilities and those from low socio-economic backgrounds.

Find out more about our commitment to equality, diversity and inclusion on our website.

We’re Disability Confident

GCHQ is proud to have achieved Leader status within the DWP’s Disability Confident scheme. This is aimed at encouraging employers to think differently about disability and take action to improve how they recruit, retain and develop disabled people. As a Disability Confident Leader, we aim to ensure that a fair and proportionate number of disabled applicants who best meet the essential minimum criteria for this position, will be offered an interview, if it is practical for us to do so. (This is known as Offer of an Interview.) To secure an interview for this role, the minimum criteria (in order of application process) are:

• You'll be required to reach the minimum pass mark for the online Situational Judgement Test (SJT), which assesses criteria important for all roles in our organisation.
• Meet the minimum pass mark at the application form sift.

There is a wide range of extra support available throughout the recruitment process to enable you to do your best, see our website for information on reasonable adjustments we can offer.

What to expect

Our recruitment process is fair, transparent, and based on merit. Here is a brief overview of each