Claus Ernst

985 total citations
57 papers, 595 citations indexed

About

Claus Ernst is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Claus Ernst has authored 57 papers receiving a total of 595 indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Geometry and Topology, 20 papers in Mathematical Physics and 15 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Claus Ernst's work include Geometric and Algebraic Topology (40 papers), Homotopy and Cohomology in Algebraic Topology (15 papers) and Advanced Combinatorial Mathematics (13 papers). Claus Ernst is often cited by papers focused on Geometric and Algebraic Topology (40 papers), Homotopy and Cohomology in Algebraic Topology (15 papers) and Advanced Combinatorial Mathematics (13 papers). Claus Ernst collaborates with scholars based in United States, Canada and Switzerland. Claus Ernst's co-authors include D. W. Sumners, Yuanan Diao, Uta Ziegler, E J Janse van Rensburg, Nicholas R. Cozzarelli, Sylvia J. Spengler, Xingxing Yu, Eric J. Rawdon, Andrzej Stasiak and Morwen Thistlethwaite and has published in prestigious journals such as SHILAP Revista de lepidopterología, Quarterly Reviews of Biophysics and Forensic Science International.

In The Last Decade

Claus Ernst

55 papers receiving 555 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Claus Ernst United States	13	363	195	167	132	123	57	595
Jim Hoste United States	17	1.1k 3.0×	83 0.4×	221 1.3×	73 0.6×	477 3.9×	38	1.2k
Morwen Thistlethwaite United States	15	920 2.5×	47 0.2×	295 1.8×	95 0.7×	514 4.2×	30	1.0k
Robert G. Scharein United States	9	123 0.3×	160 0.8×	35 0.2×	31 0.2×	25 0.2×	16	353
Sofia Lambropoulou Greece	12	358 1.0×	50 0.3×	100 0.6×	25 0.2×	141 1.1×	45	429
Józef H. Przytycki United States	18	823 2.3×	29 0.1×	167 1.0×	54 0.4×	327 2.7×	92	912
Peter R. Cromwell United Kingdom	13	360 1.0×	34 0.2×	134 0.8×	30 0.2×	170 1.4×	33	586
Gregory Buck United States	10	127 0.3×	138 0.7×	27 0.2×	32 0.2×	15 0.1×	17	338
Kunio Murasugi Canada	22	1.4k 3.9×	30 0.2×	449 2.7×	127 1.0×	640 5.2×	72	1.6k
C. McA. Gordon United States	23	1.6k 4.5×	31 0.2×	449 2.7×	272 2.1×	539 4.4×	45	1.8k
William W. Menasco United States	16	748 2.1×	12 0.1×	193 1.2×	88 0.7×	294 2.4×	35	810

Countries citing papers authored by Claus Ernst

Since Specialization

Citations

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

Fields of papers citing papers by Claus Ernst

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Claus Ernst

This figure shows the co-authorship network connecting the top 25 collaborators of Claus Ernst. A scholar is included among the top collaborators of Claus Ernst 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 Claus Ernst. Claus Ernst 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

Diao, Yuanan, Claus Ernst, & Gábor Hetyei. (2024). The braid indices of pretzel links: A comprehensive study, Part I. Journal of Knot Theory and Its Ramifications. 34(2).

Diao, Yuanan, Claus Ernst, & Gábor Hetyei. (2024). The braid indices of pretzel links: A comprehensive study, part II. Journal of Knot Theory and Its Ramifications. 34(1).

Ernst, Claus, Eric J. Rawdon, & Uta Ziegler. (2021). Knotting spectrum of polygonal knots in extreme confinement. Journal of Physics A Mathematical and Theoretical. 54(23). 235202–235202. 1 indexed citations

Ernst, Claus, et al.. (2016). Nullification numbers of knots with up to 10 crossings. Journal of Knot Theory and Its Ramifications. 25(7). 1650037–1650037. 1 indexed citations

Diao, Yuanan, et al.. (2013). Curvature of random walks and random polygons in confinement. Journal of Physics A Mathematical and Theoretical. 46(28). 285201–285201. 4 indexed citations

Ernst, Claus & Attila Pór. (2011). AVERAGE CROSSING NUMBER, TOTAL CURVATURE AND ROPELENGTH OF THICK KNOTS. Journal of Knot Theory and Its Ramifications. 21(3). 1250028–1250028. 2 indexed citations

Ernst, Claus, et al.. (2010). Protein structure determination via an efficient geometric build-up algorithm. BMC Structural Biology. 10(Suppl 1). S7–S7. 6 indexed citations

Diao, Yuanan, Claus Ernst, & Uta Ziegler. (2009). Jones polynomial of knots formed by repeated tangle replacement operations. Topology and its Applications. 156(13). 2226–2239. 5 indexed citations

Crawford, Robert, et al.. (2009). The integrity of small cage graphs. Australas. J Comb.. 43. 39–56. 3 indexed citations

10.

Diao, Yuanan & Claus Ernst. (2006). Ropelengths of closed braids. Topology and its Applications. 154(2). 491–501. 2 indexed citations

11.

Diao, Yuanan, Claus Ernst, Ramakanth Kavuluru, & Uta Ziegler. (2006). Numerical upper bounds on ropelengths of large physical knots. Journal of Physics A Mathematical and General. 39(18). 4829–4843. 4 indexed citations

12.

Tully, Gillian, K. Bender, Cristian Capelli, et al.. (2004). Results of a collaborative study of the EDNAP group regarding mitochondrial DNA heteroplasmy and segregation in hair shafts. Forensic Science International. 140(1). 1–11. 52 indexed citations

13.

Diao, Yuanan, Claus Ernst, & Xingxing Yu. (2003). Hamiltonian knot projections and lengths of thick knots. Topology and its Applications. 136(1-3). 7–36. 17 indexed citations

14.

Diao, Yuanan, Claus Ernst, & E J Janse van Rensburg. (2002). UPPER BOUNDS ON LINKING NUMBERS OF THICK LINKS. Journal of Knot Theory and Its Ramifications. 11(2). 199–210. 11 indexed citations

15.

Ernst, Claus, et al.. (2002). A MINIMAL LINK ON THE CUBIC LATTICE. Journal of Knot Theory and Its Ramifications. 11(2). 165–172. 2 indexed citations

16.

Ernst, Claus & D. W. Sumners. (1999). Solving tangle equations arising in a DNA recombination model. Mathematical Proceedings of the Cambridge Philosophical Society. 126(1). 23–36. 27 indexed citations

17.

Diao, Yuanan & Claus Ernst. (1998). The complexity of lattice knots. Topology and its Applications. 90(1-3). 1–9. 26 indexed citations

18.

Ernst, Claus. (1996). TANGLE EQUATIONS. Journal of Knot Theory and Its Ramifications. 5(2). 145–159. 17 indexed citations

19.

Sumners, D. W., Claus Ernst, Sylvia J. Spengler, & Nicholas R. Cozzarelli. (1995). Analysis of the mechanism of DNA recombination using tangles. Quarterly Reviews of Biophysics. 28(3). 253–313. 68 indexed citations

20.

Ernst, Claus & D. W. Sumners. (1987). The growth of the number of prime knots. Mathematical Proceedings of the Cambridge Philosophical Society. 102(2). 303–315. 48 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