Prof Michael Farber
Professor of Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
Topology and AI, Algorithmic robotics, Stochastic topology
Publications
Publications of specific relevance to the Centre for Geometry, Analysis and Gravitation2025
Topology and motion algorithms for autonomous robotsFarber M Oprea J
Beijing Journal of Pure and Applied Mathematics, International Press of Boston vol. 2 (2), 481-513.
01-01-2025
2024
Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusionsEspinosa Baro A Farber M Mescher S Oprea J
Mathematische Annalen, Springer Nature vol. 391 (3), 4555-4605.
09-11-2024
Sequential parametrized topological complexity of sphere bundlesFarber M Paul AK
European Journal of Mathematics, Springer Nature vol. 10 (4)
25-09-2024
Autonomous robots, motion algorithms and topologyFarber M
In Topology and AI, European Mathematical Society - Ems - Publishing House 1-29.
05-09-2024
Sequential parametrized topological complexity and related invariantsFarber M Oprea J
Algebraic & Geometric Topology, Mathematical Sciences Publishers vol. 24 (3), 1755-1780.
28-06-2024
2023
A random graph growth modelFarber M Gnedin A Mannan W
Bulletin of The London Mathematical Society, Wiley
17-11-2023
Large simplicial complexes: universality, randomness, and amplenessFarber M
Journal of Applied and Computational Topology, Springer Nature vol. 8 (6), 1551-1574.
16-09-2023
The homology of random simplicial complexes in the multi-parameter upper modelFarber M Nowik T
Israel Journal of Mathematics, Springer Nature vol. 256 (1), 213-231.
01-09-2023
Sequential parametrized motion planning and its complexity, IIFarber M Paul AK
Topology and Its Applications, Elsevier vol. 331
01-05-2023
Parametrized topological complexity of sphere bundlesFarber M Weinberger SW
Topological Methods in Nonlinear Analysis, Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, 1-17.
26-02-2023
A Random Graph Growth ModelFarber M Gnedin A Mannan W
In Arxiv
18-01-2023
2022
Parametrized Motion Planning and Topological ComplexityFarber M Weinberger S
In Algorithmic Foundations of Robotics Xv, Springer Nature 1-17.
15-12-2022
Correction to: Parametrized topological complexity of collision‑free motion planning in the planeCohen DC Farber M Weinberger S
Annals of Mathematics and Artificial Intelligence, Springer Nature vol. 91 (1), 105-106.
01-12-2022
Sequential Parametrized Motion Planning and its complexityFarber M Paul AK
Topology and Its Applications, Elsevier, 108256-108256.
01-11-2022
Parametrized topological complexity of collision-free motion planning in the planeCohen DC Farber M Weinberger S
Annals of Mathematics and Artificial Intelligence, Springer Nature vol. 90 (10), 999-1015.
08-09-2022
Ample simplicial complexesEven-Zohar C Farber M Mead L
European Journal of Mathematics, Springer Nature vol. 8 (1), 1-32.
17-01-2022
2021
The Rado simplicial complexFarber M Mead L Strauss L
Journal of Applied and Computational Topology, Springer Nature vol. 5 (2), 339-356.
06-05-2021
Random Surfaces with BoundaryEven-Zohar C Farber M
Discrete & Computational Geometry, Springer Nature vol. 66 (4), 1463-1469.
19-04-2021
Topological embeddings into random 2‐complexesFarber M Nowik T
Random Structures and Algorithms, Wiley vol. 58 (4), 664-675.
06-01-2021
Topology of Parametrized Motion Planning AlgorithmsCohen DC Farber M Weinberger S
Siam Journal on Applied Algebra and Geometry, Society For Industrial & Applied Mathematics (Siam) vol. 5 (2), 229-249.
01-01-2021
2020
Generating functions and topological complexityFarber M Kishimoto D Stanley D
Topology and Its Applications, Elsevier vol. 278
01-06-2020
Random simplicial complexes in the medial regimeFarber M Mead L
Topology and Its Applications: a Journal Devoted to General, Geometric, Set-Theoretic and Algebraic Topology, Elsevier, 107065-107065.
16-01-2020
2019
Random simplicial complexes, duality and the critical dimensionFarber M Mead L Nowik T
Journal of Topology and Analysis, World Scientific Publishing vol. 14 (01), 1-31.
23-12-2019
Directed topological complexityGoubault E Farber M Sagnier A
Journal of Applied and Computational Topology, Springer Nature vol. 4 (1), 11-27.
21-08-2019
Bredon cohomology and robot motion planningFarber M Grant M Lupton G Oprea J
Algebraic & Geometric Topology, Mathematical Sciences Publishers vol. 19 (4), 2023-2059.
16-08-2019
Higher topological complexity of aspherical spacesFarber M Oprea J
Topology and Its Applications, Elsevier vol. 258, 142-160.
01-05-2019
An upper bound for topological complexityFarber M Grant M Lupton G Oprea J
Topology and Its Applications, Elsevier vol. 255, 109-125.
01-03-2019
2018
On the topological complexity of aspherical spacesFarber M Mescher S
Journal of Topology and Analysis, World Scientific Publishing vol. 12 (02), 293-319.
18-09-2018
2017
CONFIGURATION SPACES AND ROBOT MOTION PLANNING ALGORITHMSFarber M
In Combinatorial and Toric Homotopy, World Scientific Publishing 263-303.
03-10-2017
Large random simplicial complexes, III the critical dimensionCosta A Farber M
Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 26 (02)
01-02-2017
Configuration spaces and robot motion planning algorithmsFarber M
In Combinatorial and Toric Homotopy Introductory Lectures 263-303.
01-01-2017
2016
Large random simplicial complexes, II; the fundamental groupCosta A Farber M
Journal of Topology and Analysis, World Scientific Publishing vol. 09 (03), 441-483.
21-06-2016
Large random simplicial complexes, ICosta A Farber M
Journal of Topology and Analysis, World Scientific Publishing vol. 08 (03), 399-429.
08-06-2016
Correction to Our Article “Topology of Random 2-Complexes” Published in DCG 47 (2012), pp. 117–149Cohen D Costa A Farber M Kappeler T
Discrete & Computational Geometry, Springer Nature vol. 56 (2), 502-503.
06-06-2016
Random Simplicial ComplexesCosta A Farber M
Springer Indam Series, Springer Nature vol. 14, 129-153.
01-01-2016
2015
Geometry and topology of random 2-complexesCosta AE Farber M
Israel Journal of Mathematics, Springer Nature vol. 209 (2), 883-927.
01-09-2015
Fundamental groups of clique complexes of random graphsCosta A Farber M Horak D
Transactions of The London Mathematical Society, Wiley vol. 2 (1), 1-32.
01-01-2015
2013
The asphericity of random 2‐dimensional complexesCosta AE Farber M
Random Structures and Algorithms, Wiley vol. 46 (2), 261-273.
12-04-2013
2012
The topology of spaces of polygonsFarber M Fromm V
Transactions of The American Mathematical Society, American Mathematical Society (Ams) vol. 365 (6), 3097-3114.
19-09-2012
2011
Arbeitsgemeinschaft: Topological RoboticsFarber M Gonzalez Espino Barros J Schütz D
Oberwolfach Reports, European Mathematical Society - Ems - Publishing House vol. 7 (4), 2681-2744.
21-05-2011
2008
Mini-Workshop: Topology of closed one-forms and Cohomology Jumping LociFarber M Suciu AI Yuzvinsky S
Oberwolfach Reports, European Mathematical Society - Ems - Publishing House vol. 4 (3), 2321-2360.
30-06-2008
Homological category weights and estimates for $\mathrm{cat}^1(X,\xi)$Farber M Schütz D
Journal of The European Mathematical Society, European Mathematical Society - Ems - Publishing House vol. 10 (1), 243-266.
31-03-2008
Workshop on Algorithmic Foundations of RoboticsFarber M Weinberger S
In Workshop on Algorithmic Foundations of Robotics
Grants
Grants of specific relevance to the Centre for Geometry, Analysis and GravitationHalf studentship funded by the Heilbronn InstituteMichael Farber
£47,104 Heilbronn Institute for Mathematical Research
01-10-2021 - 30-09-2025
DMS-EPSRC Topology of automated motion planningMichael Farber
£368,192 EPSRC Engineering and Physical Sciences Research Council
01-07-2021 - 31-10-2025
School on Data Science and Quantum Computing - Heilbronn fundingMichael Farber
£10,000 Heilbronn Institute for Mathematical Research
29-03-2020 - 02-04-2020
Spring School on Data Science and Workshop on Quantum ComputingMichael Farber
£14,669 Alan Turing Institute, The
13-01-2020 - 12-09-2020
Turing Defence and Security ProgrammePrimoz Skraba and Michael Farber
£130,489 Alan Turing Institute, The
01-10-2019 - 31-03-2021
Collaborative research with Professor J. OpreaMichael Farber
£1,000 London Mathematical Society (LMS)
01-09-2019 - 30-09-2019
Probabilistic and deterministic topologyMichael Farber
£257,621 Leverhulme Trust
07-01-2019 - 06-01-2023
Research Group
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