Robert Kusner

893 total citations
22 papers, 517 citations indexed

About

Robert Kusner is a scholar working on Applied Mathematics, Geometry and Topology and Computational Mechanics. According to data from OpenAlex, Robert Kusner has authored 22 papers receiving a total of 517 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Applied Mathematics, 11 papers in Geometry and Topology and 4 papers in Computational Mechanics. Recurrent topics in Robert Kusner's work include Geometric Analysis and Curvature Flows (11 papers), Geometry and complex manifolds (7 papers) and Geometric and Algebraic Topology (5 papers). Robert Kusner is often cited by papers focused on Geometric Analysis and Curvature Flows (11 papers), Geometry and complex manifolds (7 papers) and Geometric and Algebraic Topology (5 papers). Robert Kusner collaborates with scholars based in United States, Germany and Switzerland. Robert Kusner's co-authors include John M. Sullivan, Qingkun Liu, Bohdan Senyuk, Randall D. Kamien, T. C. Lubensky, Sailing He, Ivan I. Smalyukh, Jason Cantarella, Karsten Große-Brauckmann and Andrzej Stasiak and has published in prestigious journals such as Nature, Proceedings of the National Academy of Sciences and Chemical Physics Letters.

In The Last Decade

Robert Kusner

21 papers receiving 475 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Robert Kusner United States 9 190 151 141 119 99 22 517
I. W. Stewart United Kingdom 11 352 1.9× 48 0.3× 108 0.8× 16 0.1× 71 0.7× 29 657
André M. Sonnet Italy 13 645 3.4× 40 0.3× 127 0.9× 27 0.2× 218 2.2× 33 819
Paolo Biscari Italy 14 204 1.1× 19 0.1× 91 0.6× 15 0.1× 124 1.3× 47 464
Kazumoto Iguchi Japan 13 163 0.9× 63 0.4× 483 3.4× 7 0.1× 11 0.1× 64 960
R. Ribotta France 13 637 3.4× 15 0.1× 179 1.3× 3 0.0× 113 1.1× 40 927
Douglas Dunham United States 13 138 0.7× 22 0.1× 388 2.8× 4 0.0× 24 0.2× 38 730
A. Joets France 9 209 1.1× 12 0.1× 83 0.6× 3 0.0× 21 0.2× 25 408
V. P. Orlov Russia 10 159 0.8× 2 0.0× 99 0.7× 122 1.0× 14 0.1× 56 458
Fernando Giménez Palomares Spain 12 49 0.3× 25 0.2× 215 1.5× 29 0.2× 4 0.0× 33 443
A. P. Krekhov Germany 17 416 2.2× 4 0.0× 120 0.9× 3 0.0× 122 1.2× 62 732

Countries citing papers authored by Robert Kusner

Since Specialization
Citations

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

Fields of papers citing papers by Robert Kusner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Robert Kusner

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

All Works

20 of 20 papers shown
1.
Kusner, Robert & Peter McGrath. (2024). On Steklov eigenspaces for free boundary minimal surfaces in the unit ball. American Journal of Mathematics. 146(5). 1275–1293.
2.
Kusner, Robert, et al.. (2023). On the Canham Problem: Bending Energy Minimizers for any Genus and Isoperimetric Ratio. Archive for Rational Mechanics and Analysis. 247(1). 3 indexed citations
3.
Chen, Jingmin, et al.. (2020). Numerical methods for biomembranes: Conforming subdivision methods versus non-conforming PL methods. Mathematics of Computation. 90(328). 471–516. 6 indexed citations
4.
Cantarella, Jason, et al.. (2015). The expected total curvature of random polygons. American Journal of Mathematics. 137(2). 411–438. 4 indexed citations
5.
Cantarella, Jason, Joseph H. G. Fu, Robert Kusner, & John M. Sullivan. (2014). Ropelength criticality. Geometry & Topology. 18(4). 1973–2043. 6 indexed citations
6.
7.
Senyuk, Bohdan, Qingkun Liu, Sailing He, et al.. (2012). Topological colloids. Nature. 493(7431). 200–205. 247 indexed citations
8.
Große-Brauckmann, Karsten, Robert Kusner, & John M. Sullivan. (2007). Coplanar constant mean curvature surfaces. Communications in Analysis and Geometry. 15(5). 985–1023. 8 indexed citations
9.
Collin, Pascal, Robert Kusner, William H. Meeks, & Harold Rosenberg. (2004). The Topology, Geometry and Conformal Structure of Properly Embedded Minimal Surfaces. Journal of Differential Geometry. 67(2). 23 indexed citations
10.
Cantarella, Jason, Greg Kuperberg, Robert Kusner, & John M. Sullivan. (2003). The second hull of a knotted curve. American Journal of Mathematics. 125(6). 1335–1348. 8 indexed citations
11.
Große-Brauckmann, Karsten, Robert Kusner, & John M. Sullivan. (2003). Triunduloids: embedded constant mean curvature surfaces with three ends and genus zero. Journal für die reine und angewandte Mathematik (Crelles Journal). 2003(564). 24 indexed citations
12.
Diao, Yuanan, Akos Dobay, Robert Kusner, Kenneth C. Millett, & Andrzej Stasiak. (2003). The average crossing number of equilateral random polygons. Journal of Physics A Mathematical and General. 36(46). 11561–11574. 36 indexed citations
13.
Kusner, Robert, et al.. (2002). Quantization of energy and writhe in self-repelling knots. New Journal of Physics. 4. 20–20. 9 indexed citations
14.
Große-Brauckmann, Karsten, Robert Kusner, & John M. Sullivan. (2001). Triunduloids: Embedded constant mean curvature surfaces with three ends and genus zero. ArXiv.org. 1 indexed citations
15.
Große-Brauckmann, Karsten, Robert Kusner, & John M. Sullivan. (2000). Constant mean curvature surfaces with three ends. Proceedings of the National Academy of Sciences. 97(26). 14067–14068. 11 indexed citations
16.
Große-Brauckmann, Karsten & Robert Kusner. (1999). Embedded constant mean curvature surfaces with special symmetry. manuscripta mathematica. 99(1). 135–150. 6 indexed citations
17.
Große-Brauckmann, Karsten & Robert Kusner. (1996). Moduli Spaces of Embedded Constant Mean Curvature Surfaces with Few Ends and Special Symmetry. ScholarWorks@UMassAmherst (University of Massachusetts Amherst). 2 indexed citations
18.
Kusner, Robert, Paul M. Lahti, & C. Peter Lillya. (1995). New surface allotropes of carbon. Chemical Physics Letters. 241(5-6). 522–527. 3 indexed citations
19.
Kusner, Robert. (1989). Comparison surfaces for the Willmore problem. Pacific Journal of Mathematics. 138(2). 317–345. 54 indexed citations
20.
Kusner, Robert, et al.. (1981). Elementary Problems: E2863-E2868. American Mathematical Monthly. 88(1). 66–66. 1 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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