Professor Michael FarberProfessor of MathematicsEmail: m.farber@qmul.ac.ukTelephone: +44 (0)20 7882 5451Room Number: Mathematical Sciences Building, Room: MB-527ProfileResearchPublicationsProfile Michael Farber is Professor of Mathematics at the School of Mathematical Sciences, Queen Mary University of London. Prior to Queen Mary, M. Farber held professorships at the Universities of Warwick, Durham and Tel Aviv. Michael Farber obtained his PhD and D.Sc. degrees in the USSR. His research interests focus on applied and computational topology, topological robotics, applications of topology to statistics and computer science. M.Farber is involved in several collaborations: using topological methods in distributed computing in computer science, machine learning techniques in genomics and cancer research and using methods of stochastic topology for modelling brain connectivity. Michael Farber is the author of several monographs: Invitation to topological Robotics (EMS, 2008), Topology of closed one-forms (AMS, 2004), Topology and Robotics (AMS, 2007). M. Farber was awarded many research grants, among them the Royal Society Wolfson Research Merit Award. One of his current research projects "Probabilistic and Deterministic Topology" is supported by the Leverhulme Trust. M.Farber is Principal Investigator on the EPSRC research grant “Topology of automated motion planning” which is being implemented in partnership with the University of Chicago. PhD students: Lewin Strauss, Gabriele Beltramo, Lewis Mead. ResearchExamples of research funding: DMS-EPSRC Topology of automated motion planning Funder reference: EP/V009877/1 Value £ 368,192 Title: DMS-EPSRC Topology of automated motion planning Start date: 01 July 2021 End date: 30 June 2024 Probabilistic & deterministic topology Funder reference: RPG-2018-201 Value £ 257,621 Funder name: Leverhulme Trust Title: Probabilistic & deterministic topology Start date: 7 Jan 2019 End date: 6 Jan 2023 PublicationsPreprints: D.C. Cohen, M. Farber and S. Weinberger, Parametrised topological complexity of collision-free motion planning in the plane. arXiv:2010.09809. To appear in "Annals of Mathematics and Artificial Intelligence". C. Even-Zohar, M. Farber and L. Mead, Ample simplicial complexes, "European Journal of Mathematics", 8 (2022), no. 1, 1–32 M. Farber and S. Weinberger, Parametrized motion planning and topological complexity, Preprint arXiv:2202.05801 to appear in WAFR - Workshop on Algorithmic Foundations of Robotics. M. Farber and S. Weinberger, Topological complexity of spherical bundles. Preprint arXiv:2202.05796 3. D. C. Cohen, M. Farber and S. Weinberger, Topology of parametrised motion planning algorithms. "SIAM journal of Applied Algebra and Geometry", 5(2021), pp. 229-249 M. Farber, D. Kishimoto, D. Stanley, Generating functions and topological complexity, "Topology and Its Applications" 278(2020), 107235 C. Even-Zohar and M. Farber, Random surfaces with boundary. "Journal of Discrete and Computational Geometry", 66 (2021), no. 4, 1463–1469. M. Farber, L. Mead and L. Strauss, The Rado simplicial complex, "Journal of Applied and Computational Topology", 5 (2021), no. 2, 339–356 M. Farber and T. Nowik, Topological embeddings into random 2-complexes, "Random Structures and Algorithms", Volume 58, Issue 4, 2021, pp. 664-675 E. Goubault, A. Sagnier, M. Farber, Directed topological complexity, "Journal of Applied and Computational Topology", volume 4,(2020), pages1127. M. Farber, L. Mead, Random simplicial complexes in the medial regime, ”Topology and Its Applications”, Volume 272, 1 March 2020, 107065 M. Farber, L. Mead and T. Nowik, Random simplicial complexes, duality and the critical dimension. to appear in ”Journal of Topology and Analysis”. Farber M, Paul AK (2024). SEQUENTIAL PARAMETRIZED TOPOLOGICAL COMPLEXITY OF SPHERE BUNDLES European Journal of Mathematics nameOfConference. 10.1007/s40879-024-00766-w https://qmro.qmul.ac.uk/xmlui/handle/123456789/99447 Farber M, Oprea J (2024). Sequential parametrized topological complexity and related invariants Algebraic and Geometric Topology nameOfConference. 10.2140/agt.2024.24.1755 https://qmro.qmul.ac.uk/xmlui/handle/123456789/84238 Farber M, Gnedin A, Mannan W (2024). A random graph growth model Bulletin of the London Mathematical Society nameOfConference. 10.1112/blms.12957 https://qmro.qmul.ac.uk/xmlui/handle/123456789/92089 Farber M, Nowik T (2023). THE HOMOLOGY OF RANDOM SIMPLICIAL COMPLEXES IN THE MULTI-PARAMETER UPPER MODEL Israel Journal of Mathematics nameOfConference. 10.1007/s11856-023-2507-7 https://qmro.qmul.ac.uk/xmlui/handle/123456789/83929 Farber M (publicationYear). Large simplicial complexes: universality, randomness, and ampleness Journal of Applied and Computational Topology nameOfConference. 10.1007/s41468-023-00134-9 https://qmro.qmul.ac.uk/xmlui/handle/123456789/90004 Farber M, Paul AK (2023). SEQUENTIAL PARAMETRIZED MOTION PLANNING AND ITS COMPLEXITY, II Topology and its Applications nameOfConference. 10.1016/j.topol.2023.108490 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/85141 Farber M, Weinberger S (2023). Parametrized topological complexity of sphere bundles Topological Methods of Nonlinear Analysis nameOfConference. 10.12775/TMNA.2022.049 https://qmro.qmul.ac.uk/xmlui/handle/123456789/82014 Farber M, Weinberger S (2023). Parametrized Motion Planning and Topological Complexity journal nameOfConference. 10.1007/978-3-031-21090-7_1 qmroHref Cohen DC, Farber M, Weinberger S (2023). Correction to: Parametrized topological complexity of collision‑free motion planning in the plane Annals of Mathematics and Artificial Intelligence nameOfConference. 10.1007/s10472-022-09821-2 qmroHref Farber M, Paul AK (2022). Sequential Parametrized Motion Planning and its complexity Topology and its Applications nameOfConference. 10.1016/j.topol.2022.108256 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/82101 Cohen DC, Farber M, Weinberger S (2022). Parametrized topological complexity of collision-free motion planning in the plane Annals of Mathematics and Artificial Intelligence nameOfConference. 10.1007/s10472-022-09801-6 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/77284 Farber M, Mead L, Nowik T (2022). Random simplicial complexes, duality and the critical dimension Journal of Topology and Analysis nameOfConference. 10.1142/s1793525320500387 https://qmro.qmul.ac.uk/xmlui/handle/123456789/61153 Farber M, Even - Zohar C, Mead L (2022). Ample simplicial complexes European Journal of Mathematics nameOfConference. 10.1007/s40879-021-00521-5 https://qmro.qmul.ac.uk/xmlui/handle/123456789/75407 Cohen DC, Farber M, Weinberger S (2021). Topology of Parametrized Motion Planning Algorithms SIAM Journal on Applied Algebra and Geometry nameOfConference. 10.1137/20m1358505 https://qmro.qmul.ac.uk/xmlui/handle/123456789/71285 Farber M, Mead L, Strauss L (2021). The Rado simplicial complex Journal of Applied and Computational Topology nameOfConference. 10.1007/s41468-021-00069-z https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/71290 Farber M, Even-Zohar C (2021). Random surfaces with boundary Discrete and Computational Geometry: an international journal of mathematics and computer science nameOfConference. 10.1007/s00454-021-00301-8 https://qmro.qmul.ac.uk/xmlui/handle/123456789/71284 Farber M, Nowik T (2021). TOPOLOGICAL EMBEDDINGS INTO RANDOM 2-COMPLEXES Random Structures and Algorithms nameOfConference. 10.1002/rsa.20987 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/67580 Farber M, Kishimoto D, Stanley D (2020). Generating functions and topological complexity Topology and its Applications nameOfConference. 10.1016/j.topol.2020.107235 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/63612 FARBER M, MESCHER S (2020). On the topological complexity of aspherical spaces Journal of Topology and Analysis nameOfConference. 10.1142/S1793525319500511 https://qmro.qmul.ac.uk/xmlui/handle/123456789/36410 Farber M, 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 nameOfConference. 10.1016/j.topol.2020.107065 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/62503 Goubault E, Farber M, Sagnier A (2020). Directed topological complexity Journal of Applied and Computational Topology nameOfConference. 10.1007/s41468-019-00034-x https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/58637 Farber M, Grant M, Lupton G et al. (2019). Bredon cohomology and robot motion planning Algebraic & Geometric Topology nameOfConference. 10.2140/agt.2019.19.2023 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/55634 Farber M, Oprea J (2019). Higher topological complexity of aspherical spaces Topology and its Applications nameOfConference. 10.1016/j.topol.2019.02.055 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/55783 Farber M, Grant M, Lupton G et al. (2019). An upper bound for topological complexity Topology and its Applications nameOfConference. 10.1016/j.topol.2019.01.007 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/55633 FARBER M (2017). Configuration Spaces and Motion Planning Algorithms journal nameOfConference. 10.1142/9789813226579_0005 qmroHref Costa A, Farber M (2017). Large random simplicial complexes, III the critical dimension Journal of Knot Theory and Its Ramifications nameOfConference. 10.1142/s0218216517400107 https://qmro.qmul.ac.uk/xmlui/handle/123456789/13437 Farber M (2017). Configuration spaces and robot motion planning algorithms journal nameOfConference. 10.1142/9789813226579_0005 qmroHref Costa A, Farber M (2016). Random Simplicial Complexes Springer INdAM Series nameOfConference. 10.1007/978-3-319-31580-5_6 qmroHref FARBER M, Costa A (2016). Large random simplicial complexes, II; the fundamental group Journal of Topology and Analysis nameOfConference. 10.1142/S1793525317500170 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/13436 Cohen D, Costa A, Farber M et al. (2016). Correction to Our Article “Topology of Random 2-Complexes” Published in DCG 47 (2012), pp. 117–149 Discrete and Computational Geometry nameOfConference. 10.1007/s00454-016-9797-z https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/36146 Costa AE, Farber M (2015). Geometry and topology of random 2-complexes Israel Journal of Mathematics nameOfConference. 10.1007/s11856-015-1240-2 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/29267 FARBER M, Costa A (2015). Large random simplicial complexes, I Journal of Topology and Analysis nameOfConference. 10.1142/S179352531650014X https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/13438 Costa A, Farber M, Horak D (2015). Fundamental groups of clique complexes of random graphs Transactions of the London Mathematical Society nameOfConference. 10.1112/tlms/tlv001 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/29184 Costa AE, Farber M (2015). The asphericity of random 2‐dimensional complexes Random Structures and Algorithms nameOfConference. 10.1002/rsa.20499 qmroHref Farber M, Fromm V (2013). The topology of spaces of polygons Transactions of the American Mathematical Society nameOfConference. 10.1090/s0002-9947-2012-05722-9 qmroHref Farber M, Gonzalez Espino Barros J, Schütz D (2011). Arbeitsgemeinschaft: Topological Robotics Oberwolfach Reports nameOfConference. 10.4171/owr/2010/47 qmroHref Farber M, Suciu AI, Yuzvinsky S (2008). Mini-Workshop: Topology of closed one-forms and Cohomology Jumping Loci Oberwolfach Reports nameOfConference. 10.4171/owr/2007/40 qmroHref Farber M, Schütz D (2008). Homological category weights and estimates for $\mathrm{cat}^1(X,\xi)$ Journal of the European Mathematical Society nameOfConference. 10.4171/jems/110 qmroHref