# Professor Michael Farber

PhDProfessor of Mathematics, Director of Institute for Applied Data Science

## Research

topological robotics, applied and computational topology, applications of topology to statistics and computer science

### Interests

Michael Farber is Professor of Mathematics at the School of Mathematical Sciences, Queen Mary, University of London. Michael Farber is the director of Institute for Applied Data Science (IADS) and a Turing Fellow, he serves as the Turing University Lead for Queen Mary. 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 currently 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. M. Farber was awarded many research grants, among them the Royal Society Wolfson Research Merit Award. His current research project "Probabilistic and Deterministic Topology" is supported by the Leverhulme Trust.## Publications

### 2023

Farber M and Weinberger S (2023).

**Parametrized topological complexity of sphere bundles.***Topological Methods of Nonlinear Analysis*10.12775/TMNA.2022.049Cohen DC, Farber M and Weinberger S (2023).

**Correction to: Parametrized topological complexity of collision-free motion planning in the plane (Annals of Mathematics and Artificial Intelligence, (2022), 90, 10, (999-1015), 10.1007/s10472-022-09801-6).***Annals of Mathematics and Artificial Intelligence*vol. 91, (1) 105-106. 10.1007/s10472-022-09821-2Farber M and Weinberger S (2023).

**Parametrized Motion Planning and Topological Complexity.**10.1007/978-3-031-21090-7_1### 2022

Farber M and Paul AK (2022).

**Sequential Parametrized Motion Planning and its complexity.***Topology and its Applications*108256-108256. 10.1016/j.topol.2022.108256Cohen DC, Farber M and Weinberger S (2022).

**Parametrized topological complexity of collision-free motion planning in the plane.***Annals of Mathematics and Artificial Intelligence*vol. 90, (10) 999-1015. 10.1007/s10472-022-09801-6Farber M, Even - Zohar C and Mead L (2022).

**Ample simplicial complexes.***European Journal of Mathematics*10.1007/s40879-021-00521-5### 2021

Cohen DC, Farber M and Weinberger S (2021).

**Topology of parametrized motion planning algorithms.***SIAM Journal on Applied Algebra and Geometry*vol. 5, (2) 229-249. 10.1137/20M1358505Farber M, Mead L and Strauss L (2021).

**The Rado simplicial complex.***Journal of Applied and Computational Topology*vol. 5, (2) 339-356. 10.1007/s41468-021-00069-zFarber M and Even-Zohar C (2021).

**Random surfaces with boundary.***Discrete and Computational Geometry: an international journal of mathematics and computer science*10.1007/s00454-021-00301-8Farber M and Nowik T (2021).

**TOPOLOGICAL EMBEDDINGS INTO RANDOM 2-COMPLEXES.***Random Structures and Algorithms*10.1002/rsa.20987### 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/S1793525319500511Farber M, Kishimoto D and Stanley D (2020).

**Generating functions and topological complexity.***Topology and its Applications*vol. 278, 10.1016/j.topol.2020.107235Goubault E, Farber M and Sagnier A (2020).

**Directed topological complexity.***Journal of Applied and Computational Topology*vol. 4, (1) 11-27. 10.1007/s41468-019-00034-xFarber 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*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.***Journal of Topology and Analysis*1-31. 10.1142/s1793525320500387Farber M and Oprea J (2019).

**Higher topological complexity of aspherical spaces.***Topology and its Applications*vol. 258, 142-160. 10.1016/j.topol.2019.02.055Farber 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.2019.01.007Farber 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_0005Costa 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/S0218216517400107Farber 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.***Journal of Topology and Analysis*10.1142/S1793525317500170Cohen 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*vol. 56, (2) 502-503. 10.1007/s00454-016-9797-zCosta 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/s11856-015-1240-2FARBER M and Costa A (2015).

**Large random simplicial complexes, I.***Journal of Topology and Analysis*vol. 8, (3) 399-429. 10.1142/S179352531650014XCosta 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