Volker Gebhardt

560 total citations
20 papers, 234 citations indexed

About

Volker Gebhardt is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Computational Theory and Mathematics. According to data from OpenAlex, Volker Gebhardt has authored 20 papers receiving a total of 234 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 10 papers in Discrete Mathematics and Combinatorics and 9 papers in Computational Theory and Mathematics. Recurrent topics in Volker Gebhardt's work include Geometric and Algebraic Topology (15 papers), semigroups and automata theory (9 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Volker Gebhardt is often cited by papers focused on Geometric and Algebraic Topology (15 papers), semigroups and automata theory (9 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Volker Gebhardt collaborates with scholars based in Australia, Spain and United States. Volker Gebhardt's co-authors include Juan González-Meneses, Joan S. Birman, Bert Wiest, Mark M. Tanaka, Andrew Francis and Patrick Dehornoy and has published in prestigious journals such as Advances in Mathematics, Journal of Mathematical Biology and Journal of Algebra.

In The Last Decade

Volker Gebhardt

20 papers receiving 220 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Volker Gebhardt Australia	9	170	111	69	68	39	20	234
Juan González-Meneses Spain	11	293 1.7×	204 1.8×	102 1.5×	96 1.4×	34 0.9×	28	325
Tim Hsu United States	9	134 0.8×	83 0.7×	59 0.9×	63 0.9×	11 0.3×	20	186
Yoav Moriah Israel	12	337 2.0×	254 2.3×	70 1.0×	110 1.6×	15 0.4×	36	346
Andrew M. Brunner United States	11	170 1.0×	99 0.9×	98 1.4×	83 1.2×	12 0.3×	27	244
Kouki Taniyama Japan	12	296 1.7×	183 1.6×	124 1.8×	171 2.5×	10 0.3×	40	348
Luca Ferrari Italy	10	57 0.3×	35 0.3×	127 1.8×	236 3.5×	66 1.7×	39	287
Rosena R. X. Du China	7	65 0.4×	32 0.3×	65 0.9×	164 2.4×	44 1.1×	15	218
Ian Chiswell United Kingdom	10	262 1.5×	193 1.7×	123 1.8×	93 1.4×	23 0.6×	37	350
Murray Elder Australia	8	102 0.6×	64 0.6×	70 1.0×	67 1.0×	36 0.9×	35	150
Abigail Thompson United States	12	385 2.3×	240 2.2×	117 1.7×	124 1.8×	9 0.2×	37	422

Countries citing papers authored by Volker Gebhardt

Since Specialization

Citations

This map shows the geographic impact of Volker Gebhardt'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 Volker Gebhardt with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Volker Gebhardt more than expected).

Fields of papers citing papers by Volker Gebhardt

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Volker Gebhardt. 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 Volker Gebhardt. The network helps show where Volker Gebhardt may publish in the future.

Co-authorship network of co-authors of Volker Gebhardt

This figure shows the co-authorship network connecting the top 25 collaborators of Volker Gebhardt. A scholar is included among the top collaborators of Volker Gebhardt 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 Volker Gebhardt. Volker Gebhardt is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Gebhardt, Volker, et al.. (2019). On parabolic subgroups of Artin–Tits groups of spherical type. Advances in Mathematics. 352. 572–610. 18 indexed citations

Gebhardt, Volker, et al.. (2018). Constructing unlabelled lattices. Journal of Algebra. 545. 213–236. 1 indexed citations

Gebhardt, Volker, et al.. (2016). On the penetration distance in Garside monoids. Journal of Algebra. 451. 544–576. 2 indexed citations

Gebhardt, Volker, et al.. (2013). Group-theoretic models of the inversion process in bacterial genomes. Journal of Mathematical Biology. 69(1). 243–265. 16 indexed citations

Dehornoy, Patrick & Volker Gebhardt. (2013). Algorithms for Garside calculus. Journal of Symbolic Computation. 63. 68–116. 2 indexed citations

Gebhardt, Volker. (2012). Computing growth functions of braid monoids and counting vertex-labelled bipartite graphs. Journal of Combinatorial Theory Series A. 120(1). 232–244. 1 indexed citations

Gebhardt, Volker & Juan González-Meneses. (2012). Generating random braids. Journal of Combinatorial Theory Series A. 120(1). 111–128. 4 indexed citations

Gebhardt, Volker & Juan González-Meneses. (2010). Solving the conjugacy problem in Garside groups by cyclic sliding. Journal of Symbolic Computation. 45(6). 629–656. 12 indexed citations

Gebhardt, Volker & Juan González-Meneses. (2009). The cyclic sliding operation in Garside groups. Mathematische Zeitschrift. 265(1). 85–114. 18 indexed citations

10.

Birman, Joan S., Volker Gebhardt, & Juan González-Meneses. (2008). Conjugacy in Garside groups II: structure of the ultra summit set. Groups Geometry and Dynamics. 2(1). 13–61. 19 indexed citations

11.

Birman, Joan S., Volker Gebhardt, & Juan González-Meneses. (2007). Conjugacy in Garside groups III: Periodic braids. Journal of Algebra. 316(2). 746–776. 24 indexed citations

12.

Birman, Joan S., Volker Gebhardt, & Juan González-Meneses. (2007). Conjugacy in Garside groups I: cyclings, powers and rigidity. Groups Geometry and Dynamics. 1(3). 221–279. 30 indexed citations

13.

Gebhardt, Volker. (2006). Conjugacy Search in Braid Groups. Applicable Algebra in Engineering Communication and Computing. 17(3-4). 219–238. 7 indexed citations

14.

Gebhardt, Volker. (2005). A new approach to the conjugacy problem in Garside groups. Journal of Algebra. 292(1). 282–302. 51 indexed citations

15.

Gebhardt, Volker. (2004). Das Deutsche in der deutschen Kunst. 2 indexed citations

16.

Gebhardt, Volker. (2002). Efficient Collection in Infinite Polycyclic Groups. Journal of Symbolic Computation. 34(3). 213–228. 7 indexed citations

17.

Gebhardt, Volker. (2000). Constructing a Short Defining Set of Relations for a Finite Group. Journal of Algebra. 233(2). 526–542. 2 indexed citations

18.

Gebhardt, Volker. (2000). Two Short Presentations for Lyons' Sporadic Simple Group. Experimental Mathematics. 9(3). 333–338. 3 indexed citations

19.

Gebhardt, Volker. (1999). An algorithm for the construction of a defining set of relations for a finite group. Medical Entomology and Zoology. 3 indexed citations

20.

Gebhardt, Volker. (1998). The History of Art. 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.

Explore authors with similar magnitude of impact