Research groups

Research in the School is undertaken in a wide variety of areas of the mathematical sciences, including pure, applied, statistics, operational research as well as mathematical physics.

Our research is supported through five research themes — Analysis and ProbabilityApplied and Computational MathematicsData and DecisionsStructure and Symmetry, and Technology Enhanced Mathematical Sciences Education.

The research environment is enhanced by the International Centre for Mathematical Sciences and by close collaboration with Heriot-Watt University through the Maxwell Institute which was founded in 2005 following significant funding from the Scottish Funding Council. Researchers in areas of applied mathematics benefit from the proximity of strong research groups elsewhere in the University and from collaborative opportunities with local companies and other users of research.

For students considering PhD studies, our Graduate School is supervised by internationally-leading researchers spanning a wide spectrum of topics, making our School a world renowned centre of excellence in mathematics.

Person stands pointing at a screen with graphics and charts

The Analysis and Probability research theme covers a broad spectrum from harmonic analysis and probability theory to pure and applied PDEs, with applications in data science and machine learning, finance and economics.

Colourful graph models

The Applied and Computational Mathematics research theme combines expertise in dynamics, continuum and statistical mechanics, stochastic methods and advanced scientific computing.

People sit at computers with retinal scanners on their screens.

The Data and Decisions research theme undertakes research at the forefront of modern mathematical and computational problems related to optimization, operational research, statistics and their application: core elements of Data Science.

View of internal campus building from the ground looking to the sky

The Structure and Symmetry theme research interests cover much fundamental research in pure mathematics and mathematical physics.

Students grouped around presenting monitor with laptops

The Technology Enhanced Mathematical Sciences Education research theme covers a broad spectrum of educational research within higher education mathematics, statistics and data science.

We work closely with many other mathematical and data-driven organisations within, or associated with, the University of Edinburgh, as well as Edinburgh Innovations, the University's commercialisation service.