Algebra and Analysis PhD

Qualification name
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Fact file

PhD Mathematical Sciences
Entry requirements
2:1 (or international equivalent) in mathematics or a closely related subject with substantial mathematical content
6.5 (6.0) If these grades are not met, English preparatory courses are available
Start date
Please contact the school
University Park
Other requirements


Research overview

There are strong research maths groups in algebra, arithmetic and algebraic geometry, group theory and complex and functional analysis. 

A brief overview of certain specific research interests includes:

  • analysis of magnetic materials
  • analytic K-theory (including tensor products)
  • algebraic cobordism
  • algebraic K-theory
  • banach algebras
  • c*-algebras and their classification
  • calculus of variations, PDEs and networks
  • cohomology
  • collective behaviour of vortex lattices in superconductors
  • combinatorial and geometric group theory (including growth and finiteness of groups)
  • data clustering
  • document linking
  • elliptic curves
  • forward-backward diffusion equations
  • geometric data analysis
  • image processing
  • Iwasawa theory
  • meromorphic function theory (particularly value distribution theory)
  • modular and automorphic forms
  • nonassociative algebras
  • quadratic forms and forms of higher degree
  • quadratic and Hermitian lattices
  • vortex dynamics

Entry requirements: The usual minimum requirement for entry is an upper 2nd class honours degree in mathematics (or mathematics related subject) or its equivalent.

International research students need to achieve an IELTS score of 6.5 with no less than 6.0 in each element.

The University runs a number of preparatory English programmes each summer and, for extra support during your degree, you can attend its free language classes. For more information, visit our Centre for English Language Education (CELE).



Conferences and seminars

Postgraduate students are encouraged to participate in the many school research-related activities, and attend appropriate national and international conferences. We also offer a diverse range of research seminars, which you are welcome to attend.

Maths research students also have access to specialised mathematical training courses such as those provided by the Academy for PhD Training in Statistics (APTS) or the Mathematics Access Grid Conferencing (MAGIC) group who run courses using videoconferencing technology.

Furnished offices

Each maths research student has a share of a furnished office with their own desk and personal computer or laptop and may make full use of general school facilities.

IT facilities

The University provides excellent computing facilities, which offer 24-hour access to email, internet,word-processing packages and specialist mathematical software.

The school also has dedicated postgraduate workrooms for both masters and research maths students that are also accessible 24-hours a day. The computers have electronic links to a high performance computing facility and specialist mathematical software.


Postgraduate students have access to the University's specialist science library as well as the main University library. They both have excellent access to online journals and databases as well as computer rooms to work in.


The range of research activities in the Mathematical Sciences is extremely broad - from theoretical research in Pure Mathematics to generic, methodological research in Applied Mathematics and Statistics, which is often motivated by important. It is also host to the Centre for Mathematical Medicine and Biology. Much of the research undertaken is multidisciplinary and crosses traditional boundaries.

The maths taught masters programmes offered in the school have been carefully designed to reflect our research strengths and are being constantly informed and updated by the work taking place in our research groups

Research support

A number of University support services exist to assist you during your time at Nottingham and beyond.

The Students' Union are a particularly important source of support.

There is also further information in the Facilities section of this page.


Find a supervisor

We encourage you to get in touch with a member of academic staff about your research proposal before submitting an application. They may be able to help you with your proposal and offer support to find funding opportunities in your area. Details of research supervisors at the University can be found on our research A to Z.


UK/EU Students

Externally-funded studentships currently available include those from Engineering and Physical Sciences Research Council (EPSRC), and Biotechnology and Biological Sciences Research Council (BBSRC). Details of eligibility for funding, and which research topics the funding can be used to support, can be found by following the links above. In addition, we have funding available direct from the school and The University of Nottingham

The University Graduate School operates two schemes of its own to help support current postgraduate research: The Graduate School Travel Prize and Universitas21 funding. The Graduate School holds a list of other sources of fundingStudentship opportunities are also available.

Government loans for doctoral study

The Government recently introduced doctoral student loans of up to £25,000 for PhDs and equivalent research programmes. Applicants must ordinarily live in England.

Doctoral training programmes

Linked to research councils, doctoral training programmes offer funding opportunities connected to our research priorities.

International and EU students

Research scholarships are available for outstanding international and EU students. You must already have an offer to study at Nottingham to apply. Please note closing dates to ensure your course application is submitted in good time.

Information and advice on funding your degree, living costs and working while you study is available on our website, as well as country-specific resources.



Visit the school page for additional opportunities.

Average starting salary and career progression

In 2017, 100% of postgraduates in the school who were available for employment had 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 2016/17. Salaries are calculated based on the median of those in full-time paid employment within the UK.


Career prospects and employability

The University of Nottingham is consistently named as one of the most targeted universities by Britain’s leading graduate employers* and can offer you a head-start when it comes to your career.

Our Careers and Employability Service offers a range of services including advice sessions, employer events, recruitment fairs and skills workshops – and once you have graduated, you will have access to the service for life.

* The Graduate Market 2013-2017, High Fliers Research.


Get in touch

+44 (0)115 951 4929
Science videos

Science videos


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.

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Professor Kewei Zhang
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University of Nottingham
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