Dr Assaf Libman | The University of Aberdeen

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

Teaching Responsibilities

Probablity Thoery (MA2505)

Engineering Analysis and Methods (EG3006)

Understanding Data (ST1506)

Publications

Page 1 of 1 Results 1 to 36 of 36

Are free groups of different ranks bi-invariantly quasi-isometric?
2024 - Accepted/In press
Kedra, J., Libman, A.
Glasgow Mathematical Journal
Contributions to Journals: Articles
- [OPEN ACCESS] https://pure.abdn.ac.uk/ws/files/299659022/2024-12-03-qiso-free-group-revision.pdf
Abstract Weighted Based Gradual Semantics in Argumentation Theory
2024 - Published
Libman, A., Oren, N., Yun, B.
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
2023 - Published
Henke, E., Libman, A., Lynd, J.
Transactions of the London Mathematical Society, vol. 10, no. 1, pp. 21-99
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1112/tlm3.12054
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/21242/1/Henke_etal_TLMS_Punctured_groups_for_VOR.pdf
The complex of injective words of permutations which are not derangements is contractible
2023 - Published
Libman, A.
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
2023 - Published
Kedra, J., Libman, A., Martin, B.
Journal of Topology and Analysis, vol. 15, no. 3, pp. 707-739
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1142/S1793525321500497
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/18668/1/Kedra_etal_JTA_Strong_And_Uniform_AAM.pdf
Pricing Multi-Asset Contingent Claims in a Multi-Dimensional Binomial Market
2023 - Published
Kędra, J., Libman, A., Steblovskaya, V.
Journal of Stochastic Analysis, vol. 4, no. 1, 2
Contributions to Journals: Articles
- [ONLINE] https://digitalcommons.lsu.edu/cgi/viewcontent.cgi?article=1164&context=josa
- [ONLINE] DOI: https://doi.org/10.31390/josa.4.1.02
European baskets in discrete-time continuous-binomial market models
2023 - Published
Kędra, J., Libman, A., Steblovskaya, V.
Working Papers: Preprint Papers
- [ONLINE] http://arxiv.org/abs/2301.04996v1
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/20786/1/2301.04996v1.pdf
Hedging of European type contingent claims in discrete time binomial market models
2023 - Published
Kędra, J., Libman, A., Steblovskaya, V.
Working Papers: Preprint Papers
- [ONLINE] http://arxiv.org/abs/2301.02912v1
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/20788/1/2301.02912v1.pdf
Directional asymptotic cones of groups equipped with bi-invariant metrics
2022 - Published
Kędra, J., Libman, A.
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
2022 - Published
Oren, N., Yun, B., Libman, A., Baptista, M. S.
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
2022 - Published
Kędra, J., Libman, A., Martin, B.
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
2020 - Published
Libman, A., Tarry, C.
Involve, vol. 13, no. 4, pp. 655-672
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.2140/involve.2020.13.655
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/15636/1/Libman_IJoM_ConjugationDiameterOf_VoR.pdf
- [ONLINE] Need to ask for file from publisher to deposit in repository.
Groups of unstable Adams operations on p-local compact groups
2017 - Published
Levi, R., Libman, A.
Algebraic & Geometric Topology, vol. 17, no. 1, pp. 355-418
Contributions 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
2016 - Published
Libman, A.
Proceedings of the Edinburgh Mathematical Society, vol. 59, no. 2, pp. 445-462
Contributions 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
2015 - Published
Levi, R., Libman, A.
Journal of the London Mathematical Society, vol. 91, no. 1, pp. 47-70
Contributions 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
2012 - Published
Libman, A., Seeliger, N. I. H.
Homology, Homotopy and Applications, vol. 14, no. 2, pp. 167-187
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.4310/HHA.2012.v14.n2.a10
Unstable Adams operations on p-local compact groups
2012 - Published
Junod, F., Levi, R., Libman, A.
Algebraic & Geometric Topology, vol. 12, no. 1, pp. 49-74
Contributions 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
2011 - Published
Libman, A.
Journal of Algebra, vol. 341, no. 1, pp. 209-245
Contributions 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
2011 - Published
Bauer, T., Libman, A.
Journal of Homotopy and Related Structures, vol. 5, no. 1, pp. 133-155
Contributions to Journals: Articles
- [ONLINE] http://arxiv.org/abs/0805.3030
Orbit spaces, Quillen’s Theorem A and Minami’s formula for compact Lie groups
2011 - Published
Libman, A.
Fundamenta Mathematicae, vol. 213, no. 2, pp. 115-167
Contributions 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)
2010 - Published
Libman, A.
Homology, Homotopy and Applications, vol. 12, no. 1, pp. 1–10
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.4310/HHA.2010.v12.n1.a1
The Burnside ring of fusion systems
2009 - Published
Diaz, A., Libman, A.
Advances in Mathematics, vol. 222, no. 6, pp. 1943–1963
Contributions 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
2009 - Published
Diaz, A., Libman, A.
Journal of the London Mathematical Society, vol. 80, no. 3, pp. 665–679
Contributions 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
2009 - Published
Castellana, N., Libman, A.
Advances in Mathematics, vol. 221, no. 4, pp. 1302–1344
Contributions 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
2009 - Published
Libman, A., Viruel, A.
Forum Mathematicum, vol. 21, no. 4, pp. 723–757
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1515/FORUM.2009.036
A simplicial A∞-operad acting on R-resolutions
2009 - Published
Bauer, T., Libman, A.
Homology, Homotopy and Applications, vol. 11, no. 2, pp. 55–73
Contributions to Journals: Articles
- [ONLINE] http://intlpress.com/HHA/v11/n2/a5
- [ONLINE] DOI: https://doi.org/10.4310/HHA.2009.v11.n2.a5
Webb's conjecture for fusion systems
2008 - Published
Libman, A.
Israel Journal of Mathematics, vol. 167, no. 1, pp. 141-154
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1007/s11856-008-1044-8
Minami-Webb splittings and some exotic p-local finite groups
2007 - Published
Libman, A.
Mathematische Zeitschrift, vol. 255, no. 3, pp. 515-548
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1007/S00209-006-0030-2
The normaliser decomposition of p-local finite groups
2006 - Published
Libman, A.
Algebraic & Geometric Topology, vol. 6, pp. 1267-1288
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.2140/AGT.2006.6.1267
Tower Techniques for Cosimplicial Resolutions
2004 - Published
Chacholski, W., Libman, A.
Mathematische Zeitschrift, vol. 247, pp. 385-407
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1007/s00209-003-0621-0
Homotopy limits of monad algebras. Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic K-theory
2004 - Published
Libman, A.
Contemporary Mathematics, vol. 346, pp. 335-368
Contributions to Journals: Articles
Homotopy Limits of Triples
2003 - Published
Libman, A.
Topology and its Applications, vol. 130, no. 2, pp. 133-157
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1016/S0166-8641(02)00217-1
Universal Spaces for Homotopy Limits of Modules over Coaugmented Functions I
2003 - Published
Libman, A.
Topology, vol. 42, pp. 555-568
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1016/S0040-9383(02)00019-8
Universal Spaces for Homotopy Limits of Modules over Coaugmented Functions II
2003 - Published
Libman, A.
Topology, vol. 42, pp. 569-602
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1016/S0040-9383(02)00020-4
A note on the localization of finite groups
2000 - Published
Libman, A.
Journal of Pure and Applied Algebra, vol. 148, no. 3, pp. 271-274
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1016/S0022-4049(00)00019-0
Cardinality and nilpotency of localizations of groups and $G$-modules.
2000 - Published
Libman, A.
Israel Journal of Mathematics, vol. 117, pp. 221–237
Contributions to Journals: Articles
- [ONLINE] DOI: https://doi.org/10.1007/BF02773571

Update

Research Overview

Current Research

Funding and Grants

Teaching Responsibilities

Are free groups of different ranks bi-invariantly quasi-isometric?

Abstract Weighted Based Gradual Semantics in Argumentation Theory

Punctured groups for exotic fusion systems

The complex of injective words of permutations which are not derangements is contractible

Strong and uniform boundedness of groups

Pricing Multi-Asset Contingent Claims in a Multi-Dimensional Binomial Market

European baskets in discrete-time continuous-binomial market models

Hedging of European type contingent claims in discrete time binomial market models

Directional asymptotic cones of groups equipped with bi-invariant metrics

Analytical Solutions for the Inverse Problem within Gradual Semantics

Uniform boundedness for algebraic groups and Lie groups

Conjugation Diameter of the Symmetric Groups

Groups of unstable Adams operations on p-local compact groups

On the homotopy groups of the self-equivalences of linear spheres

Existence and uniqueness of classifying spaces for fusion systems over discrete p-toral groups

Homology decompositions and groups inducing fusion systems

Unstable Adams operations on p-local compact groups

The gluing problem in the fusion systems of the symmetric, alternating and linear groups

A-infinity monads and completion

Orbit spaces, Quillen’s Theorem A and Minami’s formula for compact Lie groups

The gluing problem does not follow from homological properties of Δ p (G)

The Burnside ring of fusion systems

Segal's conjecture and the Burnside rings of fusion systems

Wreath products and representations of p-local finite groups

On the homotopy type of the non-completed classifying space of a p-local finite group

A simplicial A∞-operad acting on R-resolutions

Webb's conjecture for fusion systems

Minami-Webb splittings and some exotic p-local finite groups

The normaliser decomposition of p-local finite groups

Tower Techniques for Cosimplicial Resolutions

Homotopy limits of monad algebras. Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic K-theory

Homotopy Limits of Triples

Universal Spaces for Homotopy Limits of Modules over Coaugmented Functions I

Universal Spaces for Homotopy Limits of Modules over Coaugmented Functions II

A note on the localization of finite groups

Cardinality and nilpotency of localizations of groups and $G$-modules.

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