The Institute of Mathematics in Aberdeen boast a variety of research topics in pure mathematics and is linked to the Institute for Complex Systems and Mathematical Biology. For more detail on research in Pure Mathematics, see our research areas below.

Algebra
Prof David Benson Algebra/Representation Theory
Dr Jean-Baptiste Gramain Representation Theory of Finite Groups, Symmetric and Alternating Groups, Combinatorics
Prof Ben Martin Algebraic groups, asymptotic group theory, geometric invariant theory
Dr Ehud Meir Algebra
Dr Alexei Sevastyanov Algebra
Dr William Turner Representation Theory, Mathematics and Music
Algebraic Geometry / Mathematical Physics
Dr Alexey Sevastyanov Representation theory of Lie algebras and quantum groups, Poisson geometry, integrable systems, gauge fields, BRST quantization
Dr Markus Upmeier Algebraic Geometry/Mathematical Physics with research interests in: moduli spaces and guage theory.
Applied Topology
Dr Luigi Caputi Topological analysis of neural systems
Dr Dejan Govc (Honorary RF) Algebraic topology: covering type, magnitude, neurotopology, persistent homology, unimodal category
Dr Mark Grant Algebraic and differential topology and their applications
Dr Jānis Lazovskis (Honorary RF) Topological analysis of neural systems, topological data analysis, configuration spaces, manifold reconstruction
Prof Ran Levi Topological analysis of neural systems
Dr Henri Riihimäki Topological analysis of neural systems
Dr Jason Smith (Honorary RF) Topological analysis of neural systems
  Neuro-Topology Research Group 
Geometry and Topology
Dr Mark Grant Algebraic and differential topology and their applications
Dr Richard Hepworth Algebraic Topology: homological stability, magnitude homology, string topology
Prof Jarek Kędra Geometry and Topology
Prof Ran Levi Algebraic Topology
Dr Assaf Libman Classifying spaces of finite groups and p-local finite groups, self maps of equivariant spaces, geometric invariants of groups, localization and cellularization functors.
Dr Irakli Patchkoria Algebraic Topology
Dr Markus Upmeier Geometry and Topology with research interests in:  index theory, higher categories, stable homotopy theory, kahler geometry.
Dr Simona Paoli Geometry and Topology with research interests in:  Higher category theory, homotopy theory and their interactions.
Neuro-Topology
Dr Luigi Caputi Topological analysis of neural systems
Dr Dejan Govc (Honorary RF) Algebraic topology: covering type, magnitude, neurotopology, persistent homology, unimodal category

Dr Jānis Lazovskis (Honorary RF)

Topological analysis of neural systems, topological data analysis, configuration spaces, manifold reconstruction
Prof Ran Levi Topological analysis of neural systems
Dr Henri Riihimäki Topological analysis of neural systems

Dr Jason Smith (Honorary RF)

Topological analysis of neural systems
  Neuro-Topology Web Page