Mathematical sciences
Mathematical sciences is a fundamental discipline that underpins all areas of science and technology and is a vital area of science in itself. Mathematical sciences drive innovation across a wide range of industries and fields. From developing models that solve complex real-world problems to creating algorithms that shape modern technologies, these fields are integral to the advancement of science, engineering, finance, healthcare, and beyond.
Our research covers all areas of modern mathematical science from pure to applied, spanning from geometry, topology and mathematical physics, to analysis, probability and computational mathematics, as well as statistics, actuarial mathematics, and mathematical sciences education.
We are partners with the University of Edinburgh in the Maxwell Institute, an internationally leading centre for the mathematical sciences that advances mathematical research and its applications, promotes work at interdisciplinary interfaces, and delivers research training of the highest quality. The Maxwell Institute combines our Departments of Mathematics and Actuarial Mathematics and Statistics, with Edinburgh's School of Mathematics.
Our research attracts funding worth millions of pounds, from the UKRI Engineering and Physical Sciences Research Council (EPSRC), the Scottish Funding Council, the European Research Council (ERC), the Leverhulme Trust and more.
Ranked 1st in Scotland for world-leading research and 3rd in the UK for world-leading and internationally excellent research environment, the Maxwell Institute contributes to the impact of mathematics on society, and to its increasing visibility as an agent of progress.
*Times Higher Education REF power ranking
At the School of Mathematical and Computer Sciences (MACS), Heriot-Watt University brings together experts in mathematics, actuarial science, statistics, and computer science to tackle global challenges through interdisciplinary research. Mathematics and computer science are at the core of technological progress, driving innovations in artificial intelligence, data security, and computational modelling that shape critical sectors like finance, healthcare, and engineering.
By collaborating with industry and academic partners, MACS plays a pivotal role in supporting Heriot-Watt’s globally renowned research institutes, including The National Robotarium, The Lyell Centre for Earth and Marine Sciences and Technology, The Global Research Institute in Health and Care Technologies, and iNetZ+ Global Research Institute for Net Zero and Beyond. This ensures that MACS research has both theoretical significance and real-world impact, contributing to the university’s mission of advancing global innovation and societal benefit.
Our research themes
We are driving multi-discipline mathematical sciences research that shape critical sectors like finance, healthcare, and engineering.

Analysis and probability
Many everyday processes show random behaviour – but we can use equations to describe and study many important processes in all areas of research and everyday life.

Applied and computational mathematics
Applied and Computational Mathematics are at the forefront of advancing mathematical techniques to address complex real-world challenges.

Data and decisions
As the world becomes increasingly data-driven and complex, the ability to harness large amounts of data to make informed decisions under uncertainty, is essential.

Mathematics-Driven Innovation Centre (M-DICE)
Where our cutting-edge Mathematics and Statistics expertise drives industrial innovation, addresses real-world challenges, and fosters interdisciplinary research.

Structure and symmetry
Our research at the interface of mathematical physics and natural sciences, and where algebra, geometry and topology meet computer science.

Technology enhanced mathematical sciences education
It is crucial that innovative mathematical sciences research happens, but also research in how to communicate and educate mathematics better, from early years to higher education. This is our primary aim.

School of Mathematical and Computer Sciences
Welcome to Heriot Watt University and to the School of Mathematical and Computer Sciences.
Research Futures - lead the next wave of innovation
Embark on a transformative PhD or Early Career journey within the pioneering field of mathematical science. Through Heriot-Watt’s Research Futures Hub, you’ll explore ground-breaking research, collaborate within a dynamic ecosystem that includes leading Centres for Doctoral Training and multi-institute partnerships, while working alongside global experts to address critical challenges in fields like cybersecurity, healthcare, and engineering.
Collaborate with us
At Heriot-Watt University, our enterprising research culture thrives on diversity, inclusivity, and collaboration. We foster an environment where every researcher feels valued and supported, driving key themes like Research Careers, Collegiality, Open Research, and Research Integrity. By celebrating efforts and promoting an inclusive community, we shape the future of research with purpose and impact.
Professor Steve McLaughlin, Vice-Principal and Provost
Together, we shape the future.
Since 1821 we have been at the forefront of new ideas and solutions, creating radical innovations that make a difference in the real world. Heriot-Watt has an established reputation as a dynamic facilitator of successful strategic alliances. The University aims to solve problems of real significance to society by excelling in research and enterprise.