Research course

Algebra and Analysis

University of Nottingham · School of Mathematical Sciences

Entry requirements

2:1 (or international equivalent) in mathematics or a closely related subject with substantial mathematical content.

Months of entry


Course content

There are strong research 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

For a more complete overview of the area, please visit the Shool of Mathematical Sciences listing.


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.

For a more extensive overview, please visit the course page on the University of Nottingham's online prospectus

Information for international students

English language requirements: IELTS 6.5 (no less than 6.0 in any element).

Fees and funding

The Graduate School at The University of Nottingham provides information on internal and external sources of postgraduate funding.

There is also funding information on the School of Mathematical Sciences web pages.

For information on funding opportunities for international students, please see the International Office website.

Qualification and course duration


full time
36-48 months

Course contact details

Postgraduate Enquiries
+44 (0) 115 951 5559