Michael Färber

2.9k total citations
91 papers, 1.1k citations indexed

About

Michael Färber is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Michael Färber has authored 91 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 70 papers in Mathematical Physics, 63 papers in Geometry and Topology and 42 papers in Computational Theory and Mathematics. Recurrent topics in Michael Färber's work include Homotopy and Cohomology in Algebraic Topology (53 papers), Geometric and Algebraic Topology (47 papers) and Topological and Geometric Data Analysis (34 papers). Michael Färber is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (53 papers), Geometric and Algebraic Topology (47 papers) and Topological and Geometric Data Analysis (34 papers). Michael Färber collaborates with scholars based in United Kingdom, Israel and United States. Michael Färber's co-authors include Serge Tabachnikov, R.P. Anstee, Sergey Yuzvinsky, Mark Grant, Vladimir Turaev, Thomas Kappeler, Maxim Braverman, Jerome Levine, Daniel C. Cohen and John Oprea and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Journal of Differential Geometry.

In The Last Decade

Michael Färber

83 papers receiving 962 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael Färber United Kingdom	17	786	700	445	165	104	91	1.1k
Colin Rourke United Kingdom	13	771 1.0×	992 1.4×	365 0.8×	376 2.3×	95 0.9×	27	1.3k
Brian Sanderson United Kingdom	14	708 0.9×	844 1.2×	312 0.7×	249 1.5×	143 1.4×	29	1.2k
Michael Kapovich United States	20	833 1.1×	1.1k 1.5×	101 0.2×	226 1.4×	288 2.8×	73	1.3k
R. James Milgram United States	21	1.0k 1.3×	926 1.3×	97 0.2×	167 1.0×	116 1.1×	87	1.4k
Frank Sottile United States	19	281 0.4×	672 1.0×	468 1.1×	548 3.3×	44 0.4×	94	1.1k
Dale Husemöller United States	9	674 0.9×	750 1.1×	177 0.4×	172 1.0×	187 1.8×	19	1.2k
R. E. Stong United States	17	701 0.9×	791 1.1×	172 0.4×	115 0.7×	198 1.9×	73	1.2k
Shmuel Weinberger United States	16	696 0.9×	518 0.7×	478 1.1×	47 0.3×	165 1.6×	100	1.1k
Robion Kirby United States	17	1.3k 1.7×	1.5k 2.1×	217 0.5×	314 1.9×	233 2.2×	27	1.7k
Michel Kervaire Switzerland	21	844 1.1×	1.2k 1.8×	415 0.9×	248 1.5×	271 2.6×	48	1.8k

Countries citing papers authored by Michael Färber

Since Specialization

Citations

This map shows the geographic impact of Michael Färber's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Färber with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Färber more than expected).

Fields of papers citing papers by Michael Färber

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Färber. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Färber. The network helps show where Michael Färber may publish in the future.

Co-authorship network of co-authors of Michael Färber

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Färber. A scholar is included among the top collaborators of Michael Färber based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Färber. Michael Färber is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Färber, Michael & Amit Kumar Paul. (2024). Sequential parametrized topological complexity of sphere bundles. European Journal of Mathematics. 10(4).

Färber, Michael & John Oprea. (2024). Sequential parametrized topological complexity and related invariants. Algebraic & Geometric Topology. 24(3). 1755–1780. 1 indexed citations

Färber, Michael, et al.. (2024). Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusions. Mathematische Annalen. 391(3). 4555–4605.

Färber, Michael. (2023). Large simplicial complexes: universality, randomness, and ampleness. 8(6). 1551–1574. 2 indexed citations

Färber, Michael & Shmuel Weinberger. (2023). Parametrized topological complexity of sphere bundles. Topological Methods in Nonlinear Analysis. 1–17. 2 indexed citations

Färber, Michael & John Oprea. (2019). Higher topological complexity of aspherical spaces. Topology and its Applications. 258. 142–160. 10 indexed citations

Färber, Michael, et al.. (2013). The asphericity of random 2‐dimensional complexes. Random Structures and Algorithms. 46(2). 261–273. 8 indexed citations

Färber, Michael, et al.. (2012). The topology of spaces of polygons. Transactions of the American Mathematical Society. 365(6). 3097–3114. 2 indexed citations

Färber, Michael, et al.. (2010). Closed 1-forms in topology and geometric group theory. Russian Mathematical Surveys. 65(1). 143–172.

10.

Färber, Michael & Mark Grant. (2008). Topological complexity of configuration spaces. Proceedings of the American Mathematical Society. 137(5). 1841–1847. 12 indexed citations

11.

Färber, Michael, et al.. (2008). Homological category weights and estimates for $\mathrm{cat}^1(X,\xi)$. Journal of the European Mathematical Society. 10(1). 243–266. 3 indexed citations

12.

Färber, Michael. (2004). Topology of Closed One-Forms. Mathematical surveys and monographs. 69 indexed citations

13.

Färber, Michael & Sergey Yuzvinsky. (2004). Topological robotics: Subspace arrangements and collision free motion planning. Geometry & Topology. 145–156. 12 indexed citations

14.

Färber, Michael. (2003). Instabilities of robot motion. Topology and its Applications. 140(2-3). 245–266. 48 indexed citations

15.

Färber, Michael. (1996). Combinatorial invariants computing the Ray-Singer analytic torsion. Differential Geometry and its Applications. 6(4). 351–366. 8 indexed citations

16.

Färber, Michael. (1992). Stable-Homotopy and Homology Invariants of Boundary Links. Transactions of the American Mathematical Society. 334(1). 455–455. 1 indexed citations

17.

Anstee, R.P. & Michael Färber. (1988). On bridged graphs and cop-win graphs. Journal of Combinatorial Theory Series B. 44(1). 22–28. 40 indexed citations

18.

Färber, Michael. (1984). An algebraic classification of some even-dimensional spherical knots. I. Transactions of the American Mathematical Society. 281(2). 507–527. 5 indexed citations

19.

Färber, Michael. (1982). CLASSIFICATION OF STABLE FIBERED KNOTS. Mathematics of the USSR-Sbornik. 43(2). 199–234. 1 indexed citations

20.

Färber, Michael. (1980). Isotopy types of knots of codimension two. Transactions of the American Mathematical Society. 261(1). 185–185. 12 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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