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Institute of Applied Data Science

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Professor Michael Farber

Michael Farber

Professor of Pure Mathematics and Turing Fellow
Director of Institute of Applied Data Science

School of Mathematical Sciences
Mathematical Sciences Building, Room: MB-527
+44 (0)20 7882 5451

www.qmul.ac.uk/maths/profiles/farberm.html

Publications

Publications of specific relevance to Applied Data Science

2021

Farber M and Nowik T (2021). TOPOLOGICAL EMBEDDINGS INTO RANDOM 2-COMPLEXES. Wiley  Random Structures and Algorithms  10.1002/rsa.20987
Even-Zohar C and Farber M (2021). Random Surfaces with Boundary. Discrete and Computational Geometry  10.1007/s00454-021-00301-8

2020

Farber M and Mescher S (2020). On the topological complexity of aspherical spaces. Journal of Topology and Analysis  vol. 12, (2) 293-319. 10.1142/S1793525319500511
Farber M, Kishimoto D and Stanley D (2020). Generating functions and topological complexity. Topology and Its Applications  vol. 278, 10.1016/j.topol.2020.107235
Farber M and Mead L (2020). Random simplicial complexes in the medial regime. Elsevier  Topology and Its Applications: a Journal Devoted to General, Geometric, Set-Theoretic and Algebraic Topology  107065-107065. 10.1016/j.topol.2020.107065

2019

Farber M, Mead L and Nowik T (2019). Random simplicial complexes, duality and the critical dimension. World Scientific Publishing  Journal of Topology and Analysis  1-31. 10.1142/s1793525320500387
Goubault E, Farber M and Sagnier A (2019). Directed topological complexity. Journal of Applied and Computational Topology  vol. 4, (1) 11-27. 10.1007/s41468-019-00034-x
Farber M and Oprea J (2019). Higher topological complexity of aspherical spaces. Topology and Its Applications  vol. 258, 142-160. 10.1016/j.topol.2019.02.055
Farber M, Grant M, Lupton G and Oprea J (2019). An upper bound for topological complexity. Topology and Its Applications  vol. 255, 109-125. 10.1016/j.topol.2019.01.007
Farber M, Grant M, Lupton G and Oprea J (2019). Bredon cohomology and robot motion planning. Algebraic and Geometric Topology  vol. 19, (4) 2023-2059. 10.2140/agt.2019.19.2023

2017

FARBER M (2017). Configuration Spaces and Motion Planning Algorithms. Combinatorial and Toric Topology , Editors: Grbic J, Darby A and Wu J. 10.1142/9789813226579_0005
Costa A and Farber M (2017). Large random simplicial complexes, III the critical dimension. Journal of Knot Theory and Its Ramifications  vol. 26, (2) 10.1142/S0218216517400107
Farber M (2017). Configuration spaces and robot motion planning algorithms. Combinatorial and Toric Homotopy: Introductory Lectures  10.1142/9789813226579_0005

2016

FARBER M and Costa A (2016). Large random simplicial complexes, II; the fundamental group. World Scientific Publishing  Journal of Topology and Analysis  10.1142/S1793525317500170
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. Springer Nature  Discrete and Computational Geometry  vol. 56, (2) 502-503. 10.1007/s00454-016-9797-z
Costa A and Farber M (2016). Random simplicial complexes. Springer Indam Series  vol. 14, 129-153. 10.1007/978-3-319-31580-5_6

2015

Costa AE and Farber M (2015). Geometry and topology of random 2-complexes. Israel Journal of Mathematics  vol. 209, (2) 883-927. 10.1007/s11856-015-1240-2
FARBER M and Costa A (2015). Large random simplicial complexes, I. World Scientific Publishing  Journal of Topology and Analysis  vol. 8, (3) 399-429. 10.1142/S179352531650014X
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. 10.1112/tlms/tlv001

2013

Costa AE and Farber M (2013). The asphericity of random 2‐dimensional complexes. Random Structures and Algorithms  vol. 46, (2) 261-273. 10.1002/rsa.20499

2012

Farber M and Fromm V (2012). The topology of spaces of polygons. Transactions of The American Mathematical Society  vol. 365, (6) 3097-3114. 10.1090/s0002-9947-2012-05722-9

Grants

Grants of specific relevance to Applied Data Science
DMS-EPSRC Topology of automated motion planning
Farber M
£460,240 Engineering and Physical Sciences Research Council (01-01-2021 - 31-12-2021)
Probabilistic & deterministic topology
Farber M
Leverhulme Trust (01-11-2018 - 31-10-2021)


Challenges of Applied Algebraic Topology
Farber M
£236,657 Engineering and Physical Sciences Research Council (06-12-2014 - 29-09-2017)
Summary