Overview

The details

Course: Mathematics

Start date: October 2025

Study mode: Full-time

Duration: 4 - 5 years

Location: Colchester Campus

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

An Integrated PhD provides a route into research study if you do not have a Masters degree, or have very little research training. It enables you to spend your first year completing a Masters-level qualification, followed by a full-time PhD studied over 3-4 years. We also offer a ‘standard' PhD in this subject which can be studied either full-time (3-4 years) or part-time (6-7 years).

Game theory, with roots in mathematics, statistics and economics, is routinely applied to understanding and predicting human behaviour. Problems of protection of digital information against piracy are closely related to aspects of set systems. And the RSA cryptosystem, used on computers all over the world, depends on classical results of number theory.

In your first year of our Integrated PhD Mathematics, you'll study many aspects of discrete mathematics and their potential use in practice, and provides you with options in optimisation, machine learning, data mining, and statistics.

Our interdisciplinary research recognises that mathematics, including what can be very abstract mathematics, is an essential part of research in many other disciplines.

Our School of Mathematics, Statistics and Actuarial Science has an international reputation in many areas including semi-group theory, optimisation, probability, applied statistics, bioinformatics and mathematical biology.

In your second year you move onto the PhD element of the course. We offer supervision in a wide range of mathematical areas, including both pure and applied subjects. Possible areas of research include algebra, group theory, semigroup theory, graph theory, matrix theory, numerical analysis, differential equations, but interested persons are invited to contact our School to discuss other potential research areas.

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 £2,500 per student for conference attendance and relevant external training courses.

Why we're great.

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.
Our specialist facilities give you the chance to gain real-world application in your area of expertise.
Our School is ranked 31st for research power in the Research Excellence Framework 2021.

Our expert staff

Our School of Mathematics, Statistics and Actuarial Science is a small but influential department, so our students and staff know each other personally. You never need an appointment to see your tutors and supervisors, just knock on our office doors – we are one of the few places to have an open-door policy, and no issue is too big or small.

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.

Specialist facilities

Our School of Mathematics, Statistics and Actuarial Science is based in the University's state-of-the-art STEM Centre
Unique to Essex is our renowned Maths Support Centre, which offers help to students, staff and local businesses on a range of mathematical problems. Throughout term-time, we can chat through mathematical problems either on a one-to-one or small group basis
Research students have a dedicated work space and PCs, with access to software such as MATLAB, Gap, SageMath, Python and R
We host events and seminars throughout the year
Our students run a lively Mathematics Society, an active and social group where you can explore your interest in your subject with other students

Your future

Key employability skills you gain from this course include analytic reasoning, problem solving, techniques of discrete mathematics and an understanding of application areas of these techniques, algorithm design and implementation, and data analysis.

Our graduates are highly sought after by a range of employers and find employment in financial services, scientific computation, decision making support and government, risk assessment, statistics, education and other sectors.

Many of our former PhD students have gone on to work as academics in prominent institutions across the world, such as the University of Cambridge, University of Nottingham and many other international universities. Some have also remained at the University of Essex, working as postdoctoral research fellows, research impact officers, or lecturers.

Other 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.

We additionally work with our Employability and Careers Centre to help you find out about further work experience, internships, placements, and voluntary opportunities.

Entry requirements

UK entry requirements

A good honours degree in one of the following subjects: Mathematics, Actuarial Science, Statistics, Operational Research, Computer Science, Finance, Economics, Business Engineering.

Our four year integrated PhD, allows you to spend your first year studying at Masters level in order to develop the necessary knowledge and skills and to start your independent research in year two.

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

Most of our taught courses combine compulsory and optional modules, giving you freedom to pursue your own interests. All of the modules listed below provide an example of what is on offer from the current academic year. Our Programme Specification provides further details of the course structure for the current academic year.

Our research-led teaching is continually evolving to address the latest challenges and breakthroughs in the field. The course content is therefore reviewed on an annual basis to ensure our courses remain up-to-date so modules listed are subject to change.

The research element of your degree doesn't have a taught structure, giving you the chance to investigate your chosen topic in real depth and reach a profound understanding. In communicating that understanding, through a thesis or other means, you have a rare opportunity to generate knowledge. A research degree allows you to develop new high-level skills, enhance your professional development and build new networks. It can open doors to many careers.

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

COMPONENT 01: CORE WITH OPTIONS

(60 CREDITS)

COMPONENT 02: OPTIONAL

(30 CREDITS)

COMPONENT 03: OPTIONAL

(45 CREDITS)

COMPONENT 04: OPTIONAL

(45 CREDITS)

COMPONENT 05: COMPULSORY

Research Skills and Employability

(0 CREDITS)

What skills do you need to succeed during your studies? What about after university? How will you harness your knowledge and soft skills to realise your career goals? This module helps you take an active role in developing transferrable skills and capitalising on your unique background. As well as broad reflection on your professional development, this module will help you explore different career directions and prepare you for the application process, supported by an advisor from within the department.

View Research Skills and Employability on our Module Directory

Teaching

Core components can be combined with optional modules, to enable you to gain either in-depth specialisation or a breadth of understanding
Learn to use LATEX to produce a document as close as possible to what professional mathematicians produce in terms of organisation, layout and type-setting
Our postgraduates are encouraged to attend conferences and seminars

Assessment

Our taught modules are assessed on the results of your written examinations, together with continual assessments of your practical work and coursework

Dissertation

A PhD (with a minimum period of three years) typically involves wide reading round the subject area in your first year, then gradually developing original results over your second and third years, before writing them up in a coherent fashion. The resulting thesis is expected to make a significant contribution to knowledge.

Your PhD 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.

At Essex we pride ourselves on being a welcoming and inclusive student community. We offer a wide range of support to individuals and groups of student members who may have specific requirements, interests or responsibilities.

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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.

The full Procedures, Rules and Regulations of the University governing how it operates are set out in the Charter, Statutes and Ordinances and in the University Regulations, Policy and Procedures.