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
Espinosa Baro A, Farber M, Mescher S and Oprea J (2024). Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusions. Mathematische Annalen, Springer Nature, 1-51. 09-11-2024
Farber M and Paul AK (2024). SEQUENTIAL PARAMETRIZED TOPOLOGICAL COMPLEXITY OF SPHERE BUNDLES. European Journal of Mathematics, Springer 25-09-2024
Farber M and Oprea J (2024). Sequential parametrized topological complexity and related invariants. Algebraic and Geometric Topology, Mathematical Sciences Publishers (MSP) 28-06-2024
2023
Farber M, Gnedin A and Mannan W (2023). A random graph growth model. Bulletin of the London Mathematical Society, Wiley 17-11-2023
Farber M and Nowik T (2023). THE HOMOLOGY OF RANDOM SIMPLICIAL COMPLEXES IN THE MULTI-PARAMETER UPPER MODEL. Israel Journal of Mathematics, Springer 10-10-2023
Farber M (2023). Large simplicial complexes: universality, randomness, and ampleness. Journal of Applied and Computational Topology, Springer Nature vol. 8 (6), 1551-1574. 16-09-2023
Farber M and Paul AK (2023). SEQUENTIAL PARAMETRIZED MOTION PLANNING AND ITS COMPLEXITY, II. Topology and its Applications, Elsevier 23-03-2023
Farber M and Weinberger S (2023). Parametrized topological complexity of sphere bundles. Topological Methods of Nonlinear Analysis, Project Euclid 28-02-2023
2022
Farber M and Weinberger S (2022). Parametrized Motion Planning and Topological Complexity. Algorithmic Foundations of Robotics XV 1-17. 15-12-2022
Cohen DC, Farber M and Weinberger S (2022). Correction to: Parametrized topological complexity of collision‑free motion planning in the plane. Annals of Mathematics and Artificial Intelligence, Springer Nature vol. 91 (1), 105-106. 01-12-2022
Farber M and Paul AK (2022). Sequential Parametrized Motion Planning and its complexity. Topology and its Applications, Elsevier, 108256-108256. 01-11-2022
Cohen DC, Farber M and Weinberger S (2022). Parametrized topological complexity of collision-free motion planning in the plane. Annals of Mathematics and Artificial Intelligence, Springer Nature vol. 90 (10), 999-1015. 08-09-2022
Farber M, Mead L and Nowik T (2022). Random simplicial complexes, duality and the critical dimension. Journal of Topology and Analysis, World Scientific Publishing, 1-31. 01-03-2022
Farber M, Even - Zohar C and Mead L (2022). Ample simplicial complexes. European Journal of Mathematics, Springer (part of Springer Nature) 17-01-2022
2021
Farber M, Mead L and Strauss L (2021). The Rado simplicial complex. Journal of Applied and Computational Topology, Springer Nature vol. 5 (2), 339-356. 06-05-2021
Farber M and Even-Zohar C (2021). Random surfaces with boundary. Discrete and Computational Geometry: an international journal of mathematics and computer science, Springer (part of Springer Nature) 19-04-2021
Farber M and Nowik T (2021). TOPOLOGICAL EMBEDDINGS INTO RANDOM 2-COMPLEXES. Random Structures and Algorithms, Wiley 06-01-2021
Cohen DC, Farber M and Weinberger S (2021). Topology of Parametrized Motion Planning Algorithms. SIAM Journal on Applied Algebra and Geometry, Society for Industrial & Applied Mathematics (SIAM) vol. 5 (2), 229-249. 01-01-2021
2020
FARBER M and MESCHER S (2020). On the topological complexity of aspherical spaces. Journal of Topology and Analysis, World Scientific Publishing 01-06-2020
Farber M, Kishimoto D and Stanley D (2020). Generating functions and topological complexity. Topology and its Applications, Elsevier vol. 278 01-06-2020
Farber M and Mead L (2020). Random simplicial complexes in the medial regime. Topology and its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology, Elsevier, 107065-107065. 16-01-2020
2019
Goubault E, Farber M and Sagnier A (2019). Directed topological complexity. Journal of Applied and Computational Topology, Springer Nature vol. 4 (1), 11-27. 21-08-2019
Farber M, Grant M, Lupton G and Oprea J (2019). Bredon cohomology and robot motion planning. Algebraic & Geometric Topology, Mathematical Sciences Publishers vol. 19 (4), 2023-2059. 16-08-2019
Farber M and Oprea J (2019). Higher topological complexity of aspherical spaces. Topology and its Applications, Elsevier vol. 258, 142-160. 01-05-2019
Farber M, Grant M, Lupton G and Oprea J (2019). An upper bound for topological complexity. Topology and its Applications vol. 255, 109-125. 15-03-2019
2017
FARBER M (2017). Configuration Spaces and Motion Planning Algorithms. Combinatorial and Toric Topology , Editors: Grbic J, Darby A and Wu J. 01-11-2017
Costa A and Farber M (2017). Large random simplicial complexes, III the critical dimension. Journal of Knot Theory and Its Ramifications, World Scientific Publishing vol. 26 (02) 01-02-2017
Farber M (2017). Configuration spaces and robot motion planning algorithms. Combinatorial and Toric Homotopy: Introductory Lectures 263-303. 01-01-2017
2016
FARBER M and Costa A (2016). Large random simplicial complexes, II; the fundamental group. Journal of Topology and Analysis, World Scientific Publishing 22-06-2016
Cohen D, Costa A, Farber M and Kappeler T (2016). Correction to Our Article “Topology of Random 2-Complexes” Published in DCG 47 (2012), pp. 117–149. Discrete and Computational Geometry, Springer Nature vol. 56 (2), 502-503. 06-06-2016
Costa A and Farber M (2016). Random Simplicial Complexes. Springer INdAM Series, Springer Nature vol. 14, 129-153. 01-01-2016
2015
Costa AE and Farber M (2015). Geometry and topology of random 2-complexes. Israel Journal of Mathematics, Springer Nature vol. 209 (2), 883-927. 01-09-2015
FARBER M and Costa A (2015). Large random simplicial complexes, I. Journal of Topology and Analysis, World Scientific Publishing vol. 8 (3), 399-429. 04-08-2015
Costa A, Farber M and Horak D (2015). Fundamental groups of clique complexes of random graphs. Transactions of the London Mathematical Society vol. 2 (1), 1-32. 15-04-2015
2013
Costa AE and Farber M (2013). The asphericity of random 2‐dimensional complexes. Random Structures and Algorithms, Wiley vol. 46 (2), 261-273. 12-04-2013
2012
Farber M and Fromm V (2012). The topology of spaces of polygons. Transactions of the American Mathematical Society, American Mathematical Society (AMS) vol. 365 (6), 3097-3114. 19-09-2012
2011
Farber M, Gonzalez Espino Barros J and Schütz D (2011). Arbeitsgemeinschaft: Topological Robotics. Oberwolfach Reports, European Mathematical Society - EMS - Publishing House vol. 7 (4), 2681-2744. 21-05-2011
2008
Farber M, Suciu AI and Yuzvinsky S (2008). Mini-Workshop: Topology of closed one-forms and Cohomology Jumping Loci. Oberwolfach Reports, European Mathematical Society - EMS - Publishing House vol. 4 (3), 2321-2360. 30-06-2008
Farber M and Schütz D (2008). Homological category weights and estimates for $\mathrm{cat}^1(X,\xi)$. 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
£47,105 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)
Probabilistic and deterministic topologyMichael Farber
£257,621 Leverhulme Trust (07-01-2019 - 06-01-2023)