Dr Assaf Libman
Reader
- About
-
- Email Address
- a.libman@abdn.ac.uk
- Telephone Number
- +44 (0)1224 272613
- Office Address
- Fraser Noble Building, room 136
- School/Department
- School of Natural and Computing Sciences
- Research
-
Research Overview
Homotopy Theory and its relations with Homological Algebra and Representation Theory.
Current Research
The homotopy theory of fusion systems and applications to modular representation theory.
Funding and Grants
Nuffield Foundation (2004)
EPSRC (2006), Project Title: "Combinatorial and Homotopy Theory of Classifying Spaces of Fusion Systems"
- Teaching
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Teaching Responsibilities
Probablity Thoery (MA2505)
Engineering Analysis and Methods (EG3006)
Understanding Data (ST1506)
- Publications
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Page 1 of 2 Results 1 to 25 of 36
Are free groups of different ranks bi-invariantly quasi-isometric?
Glasgow Mathematical JournalContributions to Journals: ArticlesAbstract Weighted Based Gradual Semantics in Argumentation Theory
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2401.11472
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/22742/1/2401.11472v1.pdf
Punctured groups for exotic fusion systems
Transactions of the London Mathematical Society, vol. 10, no. 1, pp. 21-99Contributions to Journals: ArticlesThe complex of injective words of permutations which are not derangements is contractible
Working Papers: Preprint Papers- [ONLINE] http://arxiv.org/pdf/2309.06808v1
- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2309.06808
Strong and uniform boundedness of groups
Journal of Topology and Analysis, vol. 15, no. 3, pp. 707-739Contributions to Journals: ArticlesPricing Multi-Asset Contingent Claims in a Multi-Dimensional Binomial Market
Journal of Stochastic Analysis, vol. 4, no. 1, 2Contributions to Journals: ArticlesEuropean baskets in discrete-time continuous-binomial market models
Working Papers: Preprint PapersHedging of European type contingent claims in discrete time binomial market models
Working Papers: Preprint PapersDirectional asymptotic cones of groups equipped with bi-invariant metrics
Working Papers: Preprint Papers- [ONLINE] http://10.48550/arXiv.2207.12704
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/21375/1/2207.12704v1.pdf
- [ONLINE] http://arxiv.org/abs/2207.12704v1
Analytical Solutions for the Inverse Problem within Gradual Semantics
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2203.01201
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/19104/1/2203.01201v1.pdf
- [ONLINE] http://arxiv.org/abs/2203.01201v1
Uniform boundedness for algebraic groups and Lie groups
Working Papers: Preprint Papers- [ONLINE] DOI: https://doi.org/10.48550/arXiv.2202.13885
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/21382/1/2202.13885v1.pdf
- [ONLINE] http://arxiv.org/abs/2202.13885v1
Conjugation Diameter of the Symmetric Groups
Involve, vol. 13, no. 4, pp. 655-672Contributions to Journals: ArticlesGroups of unstable Adams operations on p-local compact groups
Algebraic & Geometric Topology, vol. 17, no. 1, pp. 355-418Contributions to Journals: Articles- [ONLINE] http://arxiv.org/abs/1601.01865v1
- [ONLINE] DOI: https://doi.org/10.2140/agt.2017.17.355
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/7504/3/1601.01865v1.pdf
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/7504/5/agt_v17_n1_p11_p.pdf
On the homotopy groups of the self-equivalences of linear spheres
Proceedings of the Edinburgh Mathematical Society, vol. 59, no. 2, pp. 445-462Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1017/S0013091515000127
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/7632/1/Gspheres.pdf
Existence and uniqueness of classifying spaces for fusion systems over discrete p-toral groups
Journal of the London Mathematical Society, vol. 91, no. 1, pp. 47-70Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/jlms/jdu062
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/4416/1/Ex_Un_PLCG_LMS_140602.pdf
Homology decompositions and groups inducing fusion systems
Homology, Homotopy and Applications, vol. 14, no. 2, pp. 167-187Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.4310/HHA.2012.v14.n2.a10
Unstable Adams operations on p-local compact groups
Algebraic & Geometric Topology, vol. 12, no. 1, pp. 49-74Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.2140/agt.2012.12.49
The gluing problem in the fusion systems of the symmetric, alternating and linear groups
Journal of Algebra, vol. 341, no. 1, pp. 209-245Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jalgebra.2011.06.007
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/2703/1/gls.pdf
A-infinity monads and completion
Journal of Homotopy and Related Structures, vol. 5, no. 1, pp. 133-155Contributions to Journals: Articles- [ONLINE] http://arxiv.org/abs/0805.3030
Orbit spaces, Quillen’s Theorem A and Minami’s formula for compact Lie groups
Fundamenta Mathematicae, vol. 213, no. 2, pp. 115-167Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.4064/fm213-2-2
The gluing problem does not follow from homological properties of Δ p (G)
Homology, Homotopy and Applications, vol. 12, no. 1, pp. 1–10Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.4310/HHA.2010.v12.n1.a1
The Burnside ring of fusion systems
Advances in Mathematics, vol. 222, no. 6, pp. 1943–1963Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.aim.2009.06.023
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/2698/1/burnside_fusion_090620.pdf
Segal's conjecture and the Burnside rings of fusion systems
Journal of the London Mathematical Society, vol. 80, no. 3, pp. 665–679Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/jlms/jdp048
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/2699/1/dl090619sefu.pdf
Wreath products and representations of p-local finite groups
Advances in Mathematics, vol. 221, no. 4, pp. 1302–1344Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.aim.2009.02.011
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/2704/1/cl_wrep.090207_2.pdf
On the homotopy type of the non-completed classifying space of a p-local finite group
Forum Mathematicum, vol. 21, no. 4, pp. 723–757Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1515/FORUM.2009.036