Professor Ran Levi

About

Email Addressr.levi@abdn.ac.ukTelephone Number+44 (0)1224 272753Office AddressFraser Noble 138School/DepartmentSchool of Natural and Computing Sciences ORCiDResearchGateGoogle ScholarPure Qualifications BSc Mathematics 1988 - Hebrew University, Jerusalem, Israel PhD Mathematics 1993 - University of Rochester Internal Memberships Mathematics Post Graduate Coordinator Research Research Overview Algebraic Topology, Homotopy Theory of classifying spaces of finite groups, Applications of topology and geometry to science and particularly neuroscience, Classical Homotopy Theory, Representation Theory of finite groups and interactions with homotopy theory Current Research Combinatorial Topology. Combinatorial constructions have played a major role in algebraic since the beginning of the subject. W

Education

• BSc Mathematics 1988 - Hebrew University, Jerusalem, Israel
• PhD Mathematics 1993 - University of Rochester

Selected publications

• Representation cohomology of a small category 2026 - PublishedKlemetti, M., Levi, R., Riihimaki, H., Solch, D. Working Papers: Preprint Papers[ONLINE] DOI: https://doi.org/10.48550/arXiv.2604.20527[OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/4b6b3697-d84f-42a2-9d79-2a39493246b9/download
• [ONLINE] DOI: https://doi.org/10.48550/arXiv.2604.20527
• [OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/4b6b3697-d84f-42a2-9d79-2a39493246b9/download
• Realizability of fusion systems by discrete groups 2026 - PublishedBroto, C., Levi, R., Oliver, B. Transactions of the American Mathematical Society, vol. 379, no. 8, pp. 5261-5317Contributions to Journals: Articles[ONLINE] DOI: https://doi.org/10.1090/tran/9671
• [ONLINE] DOI: https://doi.org/10.1090/tran/9671
• Discrimination of haematoma and peri-haematoma regions of sub-acute intracerebral haemorrhage using Field-Cycling Imaging at field strengths below 0.2 T 2025 - PublishedSenn, N., Mallikourti, V., Ross, J., Levi, R., Oren, N., Broche, L., Waiter, G., Macleod, M. UK Stroke Forum, pp. 40Contributions to Journals: Abstracts[ONLINE] DOI: https://doi.org/10.1177/17474930251379781
• [ONLINE] DOI: https://doi.org/10.1177/17474930251379781
• Directed Semi-Simplicial Learning with Applications to Brain Activity Decoding 2025 - PublishedLecha, M., Cavallo, A., Dominici, F., Levi, R., Bue, A. D., Isufi, E., Morerio, P., Battiloro, C. Working Papers: Preprint Papers[ONLINE] DOI: https://doi.org/10.48550/arXiv.2505.17939[OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/5a69120d-3865-4a56-a9ef-d9e212bc8066/download[ONLINE] https://arxiv.org/abs/2505.17939v2
• [ONLINE] DOI: https://doi.org/10.48550/arXiv.2505.17939
• [OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/5a69120d-3865-4a56-a9ef-d9e212bc8066/download