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 Gravitation2024
Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusionsEspinosa Baro A, Farber M, Mescher S and Oprea J
Mathematische Annalen, Springer Nature, 1-51.
09-11-2024
SEQUENTIAL PARAMETRIZED TOPOLOGICAL COMPLEXITY OF SPHERE BUNDLESFarber M and Paul AK
European Journal of Mathematics, Springer
25-09-2024
Sequential parametrized topological complexity and related invariantsFarber M and Oprea J
Algebraic and Geometric Topology, Mathematical Sciences Publishers (Msp)
28-06-2024
2023
A random graph growth modelFarber M, Gnedin A and 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 and Nowik T
Israel Journal of Mathematics, Springer
10-10-2023
Large simplicial complexes: universality, randomness, and amplenessFarber M
Journal of Applied and Computational Topology, Springer Nature vol. 8 (6), 1551-1574.
16-09-2023
SEQUENTIAL PARAMETRIZED MOTION PLANNING AND ITS COMPLEXITY, IIFarber M and Paul AK
Topology and Its Applications, Elsevier
23-03-2023
Parametrized topological complexity of sphere bundlesFarber M and Weinberger S
Topological Methods of Nonlinear Analysis, Project Euclid
28-02-2023
2022
Parametrized Motion Planning and Topological ComplexityFarber M and 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 and 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 and 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 and Weinberger S
Annals of Mathematics and Artificial Intelligence, Springer Nature vol. 90 (10), 999-1015.
08-09-2022
Random simplicial complexes, duality and the critical dimensionFarber M, Mead L and Nowik T
Journal of Topology and Analysis, World Scientific Publishing, 1-31.
01-03-2022
Ample simplicial complexesFarber M, Even - Zohar C and Mead L
European Journal of Mathematics, Springer (Part of Springer Nature)
17-01-2022
2021
The Rado simplicial complexFarber M, Mead L and Strauss L
Journal of Applied and Computational Topology, Springer Nature vol. 5 (2), 339-356.
06-05-2021
Random surfaces with boundaryFarber M and 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 and Nowik T
Random Structures and Algorithms, Wiley
06-01-2021
Topology of Parametrized Motion Planning AlgorithmsCohen DC, Farber M and Weinberger S
Siam Journal On Applied Algebra and Geometry, Society For Industrial & Applied Mathematics (Siam) vol. 5 (2), 229-249.
01-01-2021
2020
On the topological complexity of aspherical spacesFARBER M and MESCHER S
Journal of Topology and Analysis, World Scientific Publishing
01-06-2020
Generating functions and topological complexityFarber M, Kishimoto D and Stanley D
Topology and Its Applications, Elsevier vol. 278
01-06-2020
Random simplicial complexes in the medial regimeFarber M and Mead L
Topology and Its Applications: a Journal Devoted to General, Geometric, Set-Theoretic and Algebraic Topology, Elsevier, 107065-107065.
16-01-2020
2019
Directed topological complexityGoubault E, Farber M and 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 and Oprea J
Algebraic & Geometric Topology, Mathematical Sciences Publishers vol. 19 (4), 2023-2059.
16-08-2019
Higher topological complexity of aspherical spacesFarber M and 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 and 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 Editors: Grbic J, Darby A and Wu J.
01-11-2017
Large random simplicial complexes, III the critical dimensionCosta A and 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 groupFARBER M and 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 and Kappeler T
Discrete and Computational Geometry, Springer Nature vol. 56 (2), 502-503.
06-06-2016
Random Simplicial ComplexesCosta A and Farber M
Springer Indam Series, Springer Nature vol. 14, 129-153.
01-01-2016
2015
Geometry and topology of random 2-complexesCosta AE and Farber M
Israel Journal of Mathematics, Springer Nature vol. 209 (2), 883-927.
01-09-2015
Large random simplicial complexes, IFARBER M and 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 and 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 and Farber M
Random Structures and Algorithms, Wiley vol. 46 (2), 261-273.
12-04-2013
2012
The topology of spaces of polygonsFarber M and 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 and 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 and 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 and Schütz D
Journal of The European Mathematical Society, European Mathematical Society - Ems - Publishing House vol. 10 (1), 243-266.
31-03-2008
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 - 30-06-2025
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