Research
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
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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
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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
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Dr Matthew Burfitt Topological analysis of neural systems 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 (Honorary RF) Topological analysis of neural systems Dr Jason Smith (Honorary RF) Topological analysis of neural systems Neuro-Topology Research Group - Geometry and Topology
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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
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Dr Matthew Burfit Topological analysis of neural systems 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 (Honorary RF) Topological analysis of neural systems Dr Jason Smith (Honorary RF)
Topological analysis of neural systems Neuro-Topology Web Page