A rich environment and lively seminar programme

Our graduate school includes an EPSRC-funded Centre for Doctoral Training (CDT), and  covers all areas of mathematics, operational research and statistics. There are numerous meetings, workshops and conferences held through the year, both at the two universities and, often jointly, at the Edinburgh-based International Centre for Mathematical Sciences.

What's On Offer

Our different types of PhD programme:

Analysis and Probability

Our theme conducts a wide variety of research in modern analysis and probability. Areas that are well represented at the theme include harmonic analysis, analysis and numerics for stochastic differential equations, dispersive, elliptic, and parabolic partial differential equations (PDEs), geometric measure theory, stochastic PDEs, general relatively, machine learning, limit theorems for stochastic processes, random graphs and processes on them, stochastic networks, interacting-particle system, calculus of variations and spectral theory.

DATA AND Decisions

The Data and Decisions research theme undertakes research at the forefront of modern mathematical, statistical and computational problems related to core elements of Data Science: optimization, operational research, statistics & uncertainty quantification, as well as their applications in imaging, environmental and medical statistics, epidemiology, actuarial science and financial mathematics.


You will join a team of researchers investigating the teaching and learning of Mathematics in Higher Education. The team has expertise in the use of technology for teaching and assessing mathematics and developing strategies for lecturers’ development. We welcome proposals on the transition from school to university mathematics and on the teaching, learning and  assessment of Mathematics at the university level, preferably through the use of  technology 


GlaMS is a joint PhD training centre between the University of Glasgow, the University of Edinburgh and Heriot-Watt University. Offering innovative training within a broadly interpreted remit of algebraic structures which includes geometry and mathematical physics. 

Applied and computational mathematics

Our theme works on core research topics in modern applied and computational mathematics. We offer PhD training in the broad area of applied and computational mathematics including mathematical and computational modelling, numerical analysis, mathematical biology, fluid dynamics, machine learning, industrial mathematics, applied stochastic analysis etc. Our PhD projects are generally offered through the MAC-MIGS 2024 PhD Collaborative Training Centre.

Mac-Migs 2024 Programme

The Mathematical Modelling, Analysis and Computation (MAC-MIGS) PhD programme is a collaborative training programme, focused on the formulation, analysis and implementation of state-of-the-art mathematical and computational models.  

Maxwell Institute Training Programme

Our core training programme, offered to all PhD students in any of the research themes of  the Maxwell Institute Graduate School, covering topics  such as  Analysis & Probability, Optimisation, Operational Research, Statistics & Actuarial Mathematics, Structure & Symmetry and more. 

Our application procedure

We actively promote equality, diversity and inclusion and welcome applications from all qualified applicants.

Check you meet the programme entry requirements. 

  • If you are applying for a University of Edinburgh programme, please check this website.
  • If you are applying for a Heriot-Watt University programme, please check this website. Applications are reviewed continuously until June 15th, but early applications (preferably before the end of March) have the best chance of success. 
  • If you are applying to the MAC-MIGS CDT, please check this website
  • If you are applying to GlaMS, please check this website.

Research Interests – this section is not for MAC-MIGS applicants

Identify your research interest and determine in which theme you wish to carry out your work. 

You should contact staff members prior to making an application in order to identify possible projects and supervisors. This is especially the case for international applicants who may not have the opportunity to attend an interview. However, it isn’t essential for you to have secured a supervisor before making your application. 

You can use the search function in the “Possible PhD Supervisors” section below or the search function in the People section to identify possible supervisors and research areas/ topics. When using the search function to identify potential supervisors, please filter by status and select “staff”.

English Language

You must demonstrate a level of English language competency that will enable you to succeed in your studies, regardless of your nationality or country of residence.

Language requirements vary between programmes so check the relevant website.

Required Documents

  • All degree certificates and transcripts– if you do not yet have a transcript, please subit an interim transcript. If you do not yet have a degree certificate, please request a letter from your University stating you have satisfactorily completed your studies or are expected to.
  • 2 Academic references to be provided directly by your referees.
  • English Language Certificate (where applicable).

Where you are asked for a research proposal, you may ignore that request as mathematics does not require one. 

Submit your application 

You should submit your application via the relevant application portal-

  • University of Edinburgh – please note if you wish to apply to the University of Edinburgh, you must select the appropriate PhD programme (i.e. Algebra, Statistics, etc) when submitting your online application by 22nd January 2024.
  • Heriot-Watt University – please note if you wish to apply to Heriot-Watt University, you must follow the steps to create an account before you can submit your application.
  • MAC-MIGS CDT programme 

Possible PhD supervisors

This part is NOT FOR MAC-MIGS applicants. Please use the search function below to identify potential supervisors based on your current research interests.  If you do not have fully-formed views on these, you can use the search function to identify possibilities. We would encourage you to contact supervisors directly so that you can get an idea of the types of project that may be on offer. When seeking to identify potential supervisors, you should select “Filter by status” and choose “Staff”. 

Moreover, each research theme, includes various research groups.  A list of research groups can be found below. Some of research groups have additional information about supervisors and projects on dedicated webpages.


If you are applying for the MAC-MIGS CDT Programme we expect you to keep an open mind about research topics and supervisors. Matching between students and supervisors will usually be done in the middle of the first year – see the MAC-MIGS CDT web site for more details.

Adamo, Tim
Structure & Symmetry
University of Edinburgh
Adamopoulou, Panagiota
Structure & Symmetry
Heriot-Watt University
Adams, Daniel
Analysis & Probability
University of Edinburgh
Aitken, Colin
None specified
University of Edinburgh
Akeresola, Rebecca
Data and Decisions
University of Edinburgh

What we offer:

Admission to the Maxwell Institute Graduate School often includes a scholarship covering fees and living expenses, but we also consider self-funded applicants. The funding period for PhD projects varies between 36 and 48 months, depending on the previous experience of the candidate. The MAC-MIGS doctoral training scholarships are all for 48 months.

The Bayes Centre

The Bayes Centre in the Edinburgh city centre offers a modern space where all MIGS 1st year PhD students will be located.

A complete range of high quality training is on offer to all of our students to take advantage of - both academic and beyond.

More than 150 fellow PhD students between Heriot-Watt University and the University of Edinburgh.

A vibrant research environment including many seminar series and further activities

For a PhD in Analysis and Probability, Data and Decisions, TEMSE

Please use the search function to find academics working in the area of research that interests you. You should then contact them via email to discuss possible research topics. 

You are encouraged to apply by 22nd January 2023 for full consideration. Later applications will be considered until all positions are filled. If you are shortlisted for a PhD programme, you will be invited for interview. These will be held online.

MAC-MIGS CDT and Applied and Computational Mathematics

Please go to the MAC-MIGS programme website for further information about the application process. 

GlaMS Programme PhDs​

Please see the GlaMS website for further detail and information about the application procedure.


These two CDTs are no longer hiring. For information about the activities of the MAC-MIGS CDT see here.

The MAC-MIGS CDT has been replaced by its follow-up programme, the MAC-MIGS 2024 PhD Programme. the latter is both active and hiring!

To learn more about our MIGSAA programme you can view related information at the archive site.

how to apply

For further information about how to apply to the Maxwell Institute Graduate School, visit our PhD Admissions page. 

Any further questions?

To learn more about our PhD studies or view key contact information on our programmes, visit our FAQs page.