Research course

Mathematical Analysis and its Applications

University of Edinburgh · School of Mathematics

Entry requirements

A UK 2:1 honours degree, or its international equivalent, in an relevant subject, or relevant qualifications and experience.

All applicants must also meet our English language requirements.

Months of entry


Course content

Mathematical Analysis & its Applications is the four-year programme associated with the Maxwell Institute Graduate School in Analysis and its Applications (MIGSAA), a Centre for Doctoral Training that provides high quality instruction in analysis and the applications of analysis to a wide range of areas.

MIGSAA has been made possible by a grant from the UK's Engineering and Physical Sciences Research Council and the Scottish Funding Council. The programme is delivered in collaboration with Heriot-Watt University.

PhD study in MIGSAA may be undertaken with over 40 supervisors and on topics ranging from pure analysis to applied mathematics relevant for scientific, engineering, environmental or social challenges.

Most projects will relate to one of the following themes:

  • Harmonic Analysis
  • Partial Differential Equations (PDEs)
  • Stochastic Processes
  • Mathematical Modelling
  • Atomic and Molecular Systems
  • Fluid Dynamics
  • Applied Probability

As opposed to a standard PhD, MIGSAA students are admitted to the programme (rather than with a specific supervisor), and take PhD training courses and projects over their first year, which help shape their perspective, leading to a match with a supervisor in the second half of Year 1.

The research project directed by the supervisor is still the centrepiece of the PhD, but this is augmented by an on-going training programme in Years 2-4 of the student’s studies.

The MIGSAA cohort will consist of approximately 12 students per year, however students are also part of the larger PhD community at both the University of Edinburgh and Heriot-Watt University, with access to supervisors from both institutions as well as MIGSAA's industrial partners.

Information for international students

To find out about the support offered to international students at Edinburgh from arrival to graduation visit: International Applicants

Fees and funding

Visit Scholarships and Student Funding Services.

Qualification and course duration


full time
48 months

Course contact details

MIGSAA CDT Administrator