MSc in Pure Mathematics


Program Description

This course offers a modern research-oriented taught course covering a wide range of topics in algebra, analysis and number theory.

  • Year of entry: 2020
  • Duration: 1 year full-time
  • Mode of study: Full-time
  • Entry requirements: 2:1 (or international equivalent) in mathematics, or a closely related subject, with substantial pure mathematics content
  • IELTS: 6.0 (no less than 5.5 in any element) 
  • UK/EU fees: £9945
  • International fees: £19980
  • Start date: September
  • Course location: University Park
  • School/Department: Science, Mathematical Sciences


 Key facts

  • Gain a broad understanding of several exciting areas of pure mathematics that are the subject of current research
  • Learn from internationally recognised researchers of algebra, analysis, and number theory and geometry
  • Develop your mathematical ability in one of the top 10 schools for Mathematical Sciences in the UK (according to the assessment of 'research power' and 'research quality' by the 2014 Research Excellence Framework (REF))

On completion, the MSc offers a solid foundation for a career in research in pure mathematics.

To enhance your experience on the course you should have a strong interest in pure mathematics and specifically a good background in at least two to three of the following subject areas: algebra, number theory, group theory or analysis.

This course is designed for both future PhD students and for those who intend to successfully enter the job market upon graduation.

This is reflected in the structure of the course which has two parts: The first one consists of taught modules which provide the skills and background for further work in mathematics and its applications. The second is a substantial dissertation which introduces the student to independent, research-informed, study.

You will benefit from an excellent course infrastructure and the expertise of active researchers working in a variety of pure mathematics subjects. The School has a very successful record of training outstanding pure mathematicians, many of whom hold high-profile posts outside academia and others leading international careers in mathematical research.

Course structure

Central to the course are three pairs of modules each consisting of an autumn and a spring module. Students must choose at least one such pair of modules. Each pair provides a substantial foundation in analysis, algebra (in particular group theory) and number theory, respectively.

Students must take 120 credits from the group listed under optional modules below. This must include both modules from at least one of the following pairs:

  • Foundations of Advanced Analysis and Further Topics in Analysis
  • Advanced Group Theory and Combinational Group Theory
  • Higher Number Theory and Algebraic Number Theory

During the summer period, you will conduct an independent research project under the supervision of academic staff, which is worth 60 credits.


  • Pure Mathematics Dissertation


  • Advanced Group Theory
  • Advanced Linear Analysis
  • Algebraic Geometry
  • Algebraic Number Theory
  • Combinatorial Group Theory
  • Complex Analysis
  • Elliptic Curves
  • Foundations of Advanced Analysis
  • Further Topics in Analysis
  • Further topics in Rings and Modules
  • Galois Theory
  • Higher Number Theory

The above is a sample of the typical modules that we offer but is not intended to be construed and/or relied upon as a definitive list of the modules that will be available in any given year. This course page may be updated over the duration of the course, as modules may change due to developments in the curriculum or in the research interests of staff.

Teaching methods and assessment

Modules are mainly delivered through lectures and example and/or problem classes for smaller groups. You will typically be assessed by a combination of examination, coursework and a class test. 

The course comprises 180 credits, split across 120 credits of taught modules and a 60-credit research project. 

Careers and professional development


On completion, the MSc provides a solid foundation for a career in research in pure mathematics.

Average starting salary and career progression

100% of postgraduates in the School of Mathematical Sciences secured work or further study within six months of graduation. The average starting salary was £30,800, with the highest being £60,000.*

* Known destinations of full-time home postgraduates who were available for employment, 2016/17. Salaries are calculated based on the median of those in full-time paid employment within the UK.

Careers support and advice

We offer individual careers support for all postgraduate students whatever your course, mode of study or future career plans.

You can access our Careers and Employability Service during your studies and after you graduate. Expert staff will help you research career options and job vacancies, build your CV or résumé, develop your interview skills and meet employers.

More than 1,500 employers advertise graduate jobs and internships through our online vacancy service. We host regular careers fairs, including specialist fairs for different sectors.

Fees and funding

Additional costs

As a student on this course, we do not anticipate any extra significant costs, alongside your tuition fees and living expenses. You should be able to access most of the books you’ll need through our libraries, though you may wish to purchase your own copies which you would need to factor into your budget.

Scholarships and bursaries

School scholarships for UoN UK alumni

For 2020/21 entry, 10% Alumni scholarships may be offered to former University of Nottingham graduates who have studied at the UK campus.

Government loans for masters courses

Masters student loans of up to £10,906 are available for taught and research masters courses. Applicants must ordinarily live in the UK or EU.

International and EU students

Masters scholarships are available for international and EU students from a wide variety of countries and areas of study. You must already have an offer to study at Nottingham to apply. Please note closing dates to ensure you apply for your course with enough time.


This online prospectus has been drafted in advance of the academic year to which it applies. Every effort has been made to ensure that the information is accurate at the time of publishing, but changes (for example to course content) are likely to occur given the interval between publishing and commencement of the course. It is therefore very important to check this website for any updates before you apply for the course where there has been an interval between you reading this website and applying.

Last updated Jan 2020

About the School

The Faculty of Science undertakes world-class research spanning wide-ranging topics including quantum physics, plant genomics, human imaging, sustainable chemistry, neuroscience, mathematical modellin ... Read More

The Faculty of Science undertakes world-class research spanning wide-ranging topics including quantum physics, plant genomics, human imaging, sustainable chemistry, neuroscience, mathematical modelling and beyond. We work closely with industry on the training of the next generation of scientists and collaborate worldwide to ensure our research has a major societal impact. The Faculty of Science comprises seven schools and has strong links with the School of Life Sciences and School of Veterinary Medicine and Science. Schools from within the faculty also collaborate with those from the University's other faculties to form various research centres and research institutes. Read less
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