Research in the AGIS group spans a wide range of activities across pure mathematics, applied mathematics and mathematical physics, with particular emphasis on the links between these disciplines.
The AGIS group maintains a strong interest in pure research problems in its constituent fields (for example: homological algebra, hyperkaehler geometry, inverse scattering theory), but actively seeks to develop in the interfaces between fields (for example: algebraic geometry of Calogero-Moser spaces, applications of differential geometry to soliton dynamics, applications of representation theory to statistical mechanics).
This makes the group a particularly vibrant and exciting place to study for a research degree. Our research strengths include:
- Algebra and representation theory
- Low dimensional geometric topology
- Connections of logic to algebra and geometry
- Geometric variational problems
- Integrable systems theory
- Discrete systems and difference equations
- Discrete and spectral geometry
Learn more about the Integrable Systems group, which is part of AGIS.
We have opportunities for prospective postgraduate researchers. Find out more.
To find out more about our research interests and contact the members of our group, visit our algebra, geometry and integrable systems research group website.