Welcome to the webpages of Core Structures @ Glasgow, which encompasses the algebra, analysis, geometry and topology and number theory groups in the School of Mathematics and Statistics at the University of Glasgow, together with researchers in surrounding areas with related research interests.
We cover a broad range of the mathematical landscape, and we solve both problems internal to mathematics, and problems related to applications. See our research expertise listed by area (with links to our relevant members), or a list of our people (with links to their research expertise). In summary, we cover:
- Algebra: Group Theory, Noncommutative Ring Theory, and Representation Theory
- Algebraic and Geometric aspects of Mathematical Physics
- Geometry: algebraic, differential and symplectic
- Operator algebras and Noncommutative Geometry
- Number Theory
- Topology: algebraic and low-dimensional.
We have been recognised for our research achievements, including a 2017 LMS Whitehead Prize and 2020 Adams Prize (Wemyss), a CBE and the 2019 LMS David Crichton Medal (Kenneth Brown), election to Fellow of the American Mathematical Society 2020 (Tara Brendle, Kenneth Brown), an LMS Senior Whitehead Prize 2021 (Brendle), together with a number of research fellowships and research funding. See a full list of our recognised excellence.