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 PARAMETRIZED TOPOLOGICAL COMPLEXITY OF SPHERE BUNDLESFarber M Paul AK
European Journal of Mathematics, Springer
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 and Geometric Topology, Mathematical Sciences Publishers (Msp)
28-06-2024
2023
A random graph growth modelFarber M Gnedin A Mannan W
Bulletin of The London Mathematical Society, Wiley
17-11-2023
THE HOMOLOGY OF RANDOM SIMPLICIAL COMPLEXES IN THE MULTI-PARAMETER UPPER MODELFarber M Nowik T
Israel Journal of Mathematics, Springer
10-10-2023
SEQUENTIAL PARAMETRIZED MOTION PLANNING AND ITS COMPLEXITY, IIFarber M Paul AK
Topology and Its Applications, Elsevier
23-03-2023
Parametrized topological complexity of sphere bundlesFarber M Weinberger S
Topological Methods of Nonlinear Analysis, Project Euclid
28-02-2023
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
Ample simplicial complexesFarber M Even - Zohar C Mead L
European Journal of Mathematics, Springer (Part of Springer Nature)
17-01-2022
2021
Random surfaces with boundaryFarber M Even-Zohar C
Discrete and Computational Geometry: An International Journal of Mathematics and Computer Science, Springer (Part of Springer Nature)
19-04-2021
TOPOLOGICAL EMBEDDINGS INTO RANDOM 2-COMPLEXESFarber M Nowik T
Random Structures and Algorithms, Wiley
06-01-2021
2020
On the topological complexity of aspherical spacesFARBER M MESCHER S
Journal of Topology and Analysis, World Scientific Publishing
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
23-12-2019
An upper bound for topological complexityFarber M Grant M Lupton G Oprea J
Topology and Its Applications vol. 255, 109-125.
15-03-2019
2017
Configuration Spaces and Motion Planning AlgorithmsFARBER M
In Combinatorial and Toric Topology
01-11-2017
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 groupFARBER M Costa A
Journal of Topology and Analysis, World Scientific Publishing
22-06-2016
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 and 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
Large random simplicial complexes, IFARBER M Costa A
Journal of Topology and Analysis, World Scientific Publishing vol. 8 (3), 399-429.
04-08-2015
Fundamental groups of clique complexes of random graphsCosta A Farber M Horak D
Transactions of The London Mathematical Society vol. 2 (1), 1-32.
15-04-2015
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
Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusionsFarber M Baro AE Mescher S Oprea J
Mathematische Annalen, Springer
Large random simplicial complexes, IIIFARBER M
Journal of Knot Theory and Its Ramifications
Bredon cohomology and robot motion planningFARBER M Grant M Lupton G Oprea J
Algebraic and Geometric Topology, Mathematical Sciences Publishers
HIGHER TOPOLOGICAL COMPLEXITY OF ASPHERICAL SPACESFARBER M Oprea J
Topology and Its Applications, Elsevier
Directed topological complexityGoubault E Farber M Sagnier A
Journal of Applied and Computational Topology
GENERATING FUNCTIONS AND TOPOLOGICAL COMPLEXITYFarber M Kishimoto D Stanley D
Topology and Its Applications: a Journal Devoted to General, Geometric, Set-Theoretic and Algebraic Topology, Elsevier
Topology of parametrised motion planning algorithmsFarber M Cohen D Weinberger S
Siam Journal on Applied Algebra and Geometry
The Rado simplicial complexFarber M Mead L Strauss L
Journal of Applied and Computational Topology, Springer
PARAMETRIZED TOPOLOGICAL COMPLEXITY OF COLLISION-FREE MOTION PLANNING IN THE PLANEFarber M Cohen D Weinberger S
Annals of Mathematics and Artificial Intelligence, Springer (Part of Springer Nature)
Workshop on Algorithmic Foundations of RoboticsFarber M Weinberger S
In Workshop on Algorithmic Foundations of Robotics
LARGE SIMPLICIAL COMPLEXES: UNIVERSALITY, RANDOMNESS, AND AMPLENESSFarber M
Journal of Applied and Computational Topology, Springer
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
News
No news items found.