Algebra and Analysis (PhD)

University of Nottingham the United Kingdom

For more information about Algebra and Analysis at University of Nottingham, please visit the webpage using the button above.

The award

How long you will study
3 - 4 years

Domestic course fees
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How you will study

Course starts

International course fees
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About Algebra and Analysis at University of Nottingham

Course overview:

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

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.

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.


The school has active research groups in many branches of Applied Mathematics (comprising Mathematical Physics and Theoretical Mechanics), Pure Mathematics and Statistics. It is also host to the Centre for Mathematical Medicine and Biology. Much of the research undertaken is multidisciplinary and crosses traditional boundaries.

The 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.

For a more extensive overview, please view the research area on The University of Nottingham online prospectus.


Study options for this course

  • The award How you will study How long you will study Course starts Domestic course fees International course fees
  • The awardPhDHow you will studyFull-timeHow long you will study3 - 4 years
    Course startsSeptemberDomestic course fees find outInternational course fees find out

Entry requirements

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

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