Overview

The details

Course: Pure Mathematics

Start date: October 2025

Study mode: Full-time

Duration: 2 - 3 years

Location: Colchester Campus

Based in: Mathematics, Statistics and Actuarial Science (School of)

Undertaking our MPhil Pure Mathematics gives you the opportunity to investigate such areas as algebraic geometry, group theory, semigroup theory, combinatorics and differential equations. We have staff with expertise in each of these areas who are enthusiastic about supervising PhD students. If you're interested in studying with us, please get in touch with our School to discuss other potential research areas.

Our staff are strongly committed to research and teaching. They have published several well-regarded text books and are world leaders in their individual specialisms, with their papers appearing in learned journals such as: Journal of Algebra, Journal of Pure and Applied Algebra, Acta Arithmetica, Discrete Mathematics, and Journal of Group Theory.

Our School of Mathematics, Statistics and Actuarial Science is genuinely innovative and student-focused. Our research groups are working on a broad range of collaborative areas tackling real-world issues. Here are a few examples:

Our data scientists carefully consider how not to lie, and how not to get lied to with data. Interpreting data correctly is especially important because much of our data science research is applied directly or indirectly to social policies, including health, care and education.
We do practical research with financial data (for example, assessing the risk of collapse of the UK's banking system) as well as theoretical research in financial instruments such as insurance policies or asset portfolios.
We also research how physical processes develop in time and space. Applications of this range from modelling epilepsy to modelling electronic cables.
Our optimisation experts work out how to do the same job with less resource, or how to do more with the same resource.
Our pure maths group are currently working on two new funded projects entitled “The Calabi problem for smooth Fano threefolds” and “Stability of Brunn-Minkowski inequalities and Minkowski type problems for nonlinear capacity”.
We also do research into mathematical education and use exciting technologies such as electroencephalography or eye tracking to measure exactly what a learner is feeling. Our research aims to encourage the implementation of ‘the four Cs' of modern education, which are critical thinking, communication, collaboration, and creativity.

We also offer a PhD and an MSD in this subject, and part-time research study is also available.

Why we're great.

Our School is ranked 31st for research power in the Research Excellence Framework 2021.
Our School of Mathematics, Statistics and Actuarial Science has an internationally excellent reputation in areas such as algebraic geometry, group theory, semigroup theory, differential equations, optimisation, probability, applied statistics, bioinformatics and mathematical biology.
You will be able to access mathematical software packages on the University's High-Performance Computing cluster.

Our expert staff

The School of Mathematics, Statistics and Actuarial Science has an international reputation in all areas of mathematical sciences including: pure mathematics, statistics, operational research, applied mathematics, and actuarial science.

We encourage MPhil students to meet with their supervisor regularly. While undertaking your research within Mathematical Sciences, joint supervision across other Essex departments and schools is possible. Joint supervision allows you to have a supervisor based in our School and another in a relevant Department or School (such as Life Sciences, or Computer Science and Electronic Engineering).

Specialist facilities

The School of Mathematics, Statistics and Actuarial Science is based in the University's state-of-the-art STEM Centre. Research students have a dedicated work space and PCs, with access to software such as MATLAB, Gap, SageMath, Python and R.

All University of Essex research students have access to our innovative and unique scheme, Proficio. Postgraduate research students are automatically enrolled on Proficio, which provides a variety of training courses, and a fund of up to £1,500 per MPhil student for attendance on these courses.

Our School is part of MAGIC, a consortium of 22 UK universities which share PhD-level Mathematics courses, giving you access to a wide array of specialist training opportunities.

Your future

Studying a research degree in mathematics gives you the opportunity to develop new skills and enhance your CV. It can also be the next step towards a PhD and an academic career.

Our graduates have joined organisations like the Met Office, the Ministry of Defence, and companies based in the City of London. There is a high demand for those with a numerate background in all sectors of the economy, so our graduates are sought after in the UK and abroad.

Entry requirements

UK entry requirements

You will need a good honours degree and a Masters degree in a relevant subject. A well-developed research proposal is also essential.

You may be required to attend an interview/Skype interview for acceptance, and acceptance is subject to research expertise in the department.

International & EU entry requirements

We accept a wide range of qualifications from applicants studying in the EU and other countries. Get in touch with any questions you may have about the qualifications we accept. Remember to tell us about the qualifications you have already completed or are currently taking.

Sorry, the entry requirements for the country that you have selected are not available here. Please contact our Graduate Admissions team at pgquery@essex.ac.uk to request the entry requirements for this country.

English language requirements

If English is not your first language , we require IELTS 6.0, or equivalent with a minimum of 5.5 in all other components.

Structure

Course structure

A research degree gives you the chance to investigate an area or topic in real depth, and develop transferable research skills. During your time in the School you have opportunities to attend conferences, publish papers, and give talks at departmental research seminars. You may also attend some university modules, and will meet with your supervisor typically on a weekly basis.

Within our School, our MPhil students are usually encouraged to take our taught module, Research Methods, in the first year of study, so you are well equipped with the necessary skills to undertake effective research. You may also attend some other modules on an informal basis.

All our students wishing to study for a PhD enrol on a combined MPhil/PhD pathway. This gives MPhil students an opportunity to extend their research to a PhD if it is proceeding well. This decision will typically be made early in your second year.

Our full-time research students have a supervisory board to review their progress every six months (or annually if studying part-time). Typically, the board involves your supervisor and one other academic. The recommendations of this are considered by our Departmental Research Students' Progress Board, which will make decisions on your registration status.

We understand that deciding where and what to study is a very important decision for you. We'll make all reasonable efforts to provide you with the courses, services and facilities as described on our website and in line with your contract with us. However, if we need to make material changes, for example due to significant disruption, we'll let our applicants and students know as soon as possible.

Components and modules explained

Components

Components are the blocks of study that make up your course. A component may have a set module which you must study, or a number of modules from which you can choose.

Each component has a status and carries a certain number of credits towards your qualification.

Status	What this means
Core	You must take the set module for this component and you must pass. No failure can be permitted.
Core with Options	You can choose which module to study from the available options for this component but you must pass. No failure can be permitted.
Compulsory	You must take the set module for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.
Compulsory with Options	You can choose which module to study from the available options for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.
Optional	You can choose which module to study from the available options for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.

The modules that are available for you to choose for each component will depend on several factors, including which modules you have chosen for other components, which modules you have completed in previous years of your course, and which term the module is taught in.

Modules

Modules are the individual units of study for your course. Each module has its own set of learning outcomes and assessment criteria and also carries a certain number of credits.

In most cases you will study one module per component, but in some cases you may need to study more than one module. For example, a 30-credit component may comprise of either one 30-credit module, or two 15-credit modules, depending on the options available.

Modules may be taught at different times of the year and by a different department or school to the one your course is primarily based in. You can find this information from the module code. For example, the module code HR100-4-FY means:

100

The department or school the module will be taught by.

In this example, the module would be taught by the Department of History.

The module number.

The UK academic level of the module.

A standard undergraduate course will comprise of level 4, 5 and 6 modules - increasing as you progress through the course.

A standard postgraduate taught course will comprise of level 7 modules.

A postgraduate research degree is a level 8 qualification.

The term the module will be taught in.

AU: Autumn term
SP: Spring term
SU: Summer term
FY: Full year
AP: Autumn and Spring terms
PS: Spring and Summer terms
AS: Autumn and Summer terms

COMPONENT 01: COMPULSORY

Mathematics - Research

(0 CREDITS)

This module is for PhD students who are completing the research portions of their theses.

View Mathematics - Research on our Module Directory

Assessment

An MPhil takes two years, and typically involves wide reading round the subject area in your first year, then developing and writing up original results over your second year. The resulting thesis is expected to make a contribution to knowledge.

Your MPhil is awarded after your successful defence of your thesis in an oral examination (viva), in which you are interviewed about your research by two examiners, at least one of whom is from outside Essex.

Fees and funding

Home/UK fee

TBC

International fee

£19,650 per year

Fees will increase for each academic year of study.

Masters fees and funding information

Research (e.g. PhD) fees and funding information

What's next

We hold Open Days for all our applicants throughout the year. Our Colchester Campus events are a great way to find out more about studying at Essex, and give you the chance to:

tour our campus and accommodation
find out answers to your questions about our courses, graduate employability, student support and more
talk to our Fees and Funding team about scholarship opportunities
meet our students and staff

If the dates of our organised events aren’t suitable for you, feel free to get in touch by emailing tours@essex.ac.uk and we’ll arrange an individual campus tour for you.

You can apply for this postgraduate course online. Before you apply, please check our information about necessary documents that we'll ask you to provide as part of your application.

We encourage you to make a preliminary enquiry directly to a potential supervisor or the Graduate Administrator within your chosen Department or School. We encourage the consideration of a brief research proposal prior to the submission of a full application.

We aim to respond to applications within four weeks. If we are able to offer you a place, you will be contacted via email.

For information on our deadline to apply for this course, please see our ‘how to apply' information.

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If you live too far away to come to Essex (or have a busy lifestyle), no problem. Our 360 degree virtual tour allows you to explore the Colchester Campus from the comfort of your home. Check out our accommodation options, facilities and social spaces.

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The University makes every effort to ensure that this information on its programme specification is accurate and up-to-date. Exceptionally it can be necessary to make changes, for example to courses, facilities or fees. Examples of such reasons might include, but are not limited to: strikes, other industrial action, staff illness, severe weather, fire, civil commotion, riot, invasion, terrorist attack or threat of terrorist attack (whether declared or not), natural disaster, restrictions imposed by government or public authorities, epidemic or pandemic disease, failure of public utilities or transport systems or the withdrawal/reduction of funding. Changes to courses may for example consist of variations to the content and method of delivery of programmes, courses and other services, to discontinue programmes, courses and other services and to merge or combine programmes or courses. The University will endeavour to keep such changes to a minimum, and will also keep students informed appropriately by updating our programme specifications. The University would inform and engage with you if your course was to be discontinued, and would provide you with options, where appropriate, in line with our Compensation and Refund Policy.

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