Research course

Algebra and Analysis

University of Nottingham · School of Mathematical Sciences

Entry requirements

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

Months of entry

January, December, November, October, September, August, July, June, May, April, March, February

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.

Information for international students

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

Qualification and course duration


full time
36-48 months

Course contact details

Postgraduate Enquiries
+44 (0) 115 951 5559