Algebra and Analysis PhD


Fact file

PhD Algebra and Analysis
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.

International and EU students

The University of Nottingham offers a range of research scholarships for outstanding international and EU students.

Applicants must receive an offer of study before applying for our scholarships. Please note the closing dates of any scholarships you are interested in and make sure you submit your research course application in good time so that you have the opportunity to apply for them.

The International Office also provides information and advice for international and EU students on financing your degree, living costs, external sources of funding and working during your studies.

Find out more on our scholarships, fees and finance webpages for international applicants.



Visit the school page for additional opportunities.

Average starting salary and career progression

In 2015, 96% of postgraduates in the School of Mathematical Sciences who were available for employment had secured work or further study within six months of graduation. The average starting salary was £28,320 with the highest being £35,000.*

* Known destinations of full-time home and EU postgraduates, 2014/15. 

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 2013-2016, High Fliers Research.


Get in touch

+44 (0)115 951 4929
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Professor Kewei Zhang
School of Mathematical Sciences
University of Nottingham
University Park
NG7 2RD  

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