Wayne Rossman

1.6k total citations
63 papers, 650 citations indexed

About

Wayne Rossman is a scholar working on Applied Mathematics, Geometry and Topology and Computational Mechanics. According to data from OpenAlex, Wayne Rossman has authored 63 papers receiving a total of 650 indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Applied Mathematics, 42 papers in Geometry and Topology and 13 papers in Computational Mechanics. Recurrent topics in Wayne Rossman's work include Geometric Analysis and Curvature Flows (48 papers), Geometry and complex manifolds (28 papers) and Geometric and Algebraic Topology (21 papers). Wayne Rossman is often cited by papers focused on Geometric Analysis and Curvature Flows (48 papers), Geometry and complex manifolds (28 papers) and Geometric and Algebraic Topology (21 papers). Wayne Rossman collaborates with scholars based in Japan, Austria and United Kingdom. Wayne Rossman's co-authors include Masaaki Umehara, Kotaro Yamada, Masatoshi Kokubu, Kentaro Saji, Konrad Polthier, Udo Hertrich-Jeromin, Francis E. Burstall, Shoichi Fujimori, Seong-Deog Yang and Nicolas Schmitt and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

Wayne Rossman

58 papers receiving 542 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Wayne Rossman Japan 13 472 390 144 94 71 63 650
Kotaro Yamada Japan 15 883 1.9× 777 2.0× 127 0.9× 202 2.1× 123 1.7× 63 1.1k
Shyūichi Izumiya Japan 17 679 1.4× 493 1.3× 275 1.9× 338 3.6× 83 1.2× 98 935
Donghe Pei China 17 619 1.3× 394 1.0× 182 1.3× 371 3.9× 77 1.1× 98 824
Masaaki Umehara Japan 18 1.1k 2.4× 1.0k 2.6× 157 1.1× 285 3.0× 171 2.4× 98 1.4k
Marc Troyanov Switzerland 14 580 1.2× 452 1.2× 55 0.4× 122 1.3× 205 2.9× 73 872
Ernst Kuwert Germany 10 500 1.1× 261 0.7× 124 0.9× 27 0.3× 89 1.3× 21 651
А. В. Погорелов Russia 7 673 1.4× 496 1.3× 42 0.3× 109 1.2× 97 1.4× 32 877
Katsuhiro Shiohama Japan 17 747 1.6× 608 1.6× 58 0.4× 257 2.7× 156 2.2× 67 902
Pascual Lucas Spain 16 486 1.0× 356 0.9× 91 0.6× 329 3.5× 31 0.4× 53 633
Thomas E. Cecil United States 16 847 1.8× 769 2.0× 89 0.6× 407 4.3× 128 1.8× 35 1.0k

Countries citing papers authored by Wayne Rossman

Since Specialization
Citations

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

Fields of papers citing papers by Wayne Rossman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Wayne Rossman

This figure shows the co-authorship network connecting the top 25 collaborators of Wayne Rossman. A scholar is included among the top collaborators of Wayne Rossman 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 Wayne Rossman. Wayne Rossman 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.
Rossman, Wayne, et al.. (2022). Infinitesimal Darboux transformation and semi-discrete MKDV equation. Nonlinearity. 35(4). 2134–2146. 1 indexed citations
2.
Rossman, Wayne, et al.. (2021). Discrete mKdV Equation via Darboux Transformation. Mathematical Physics Analysis and Geometry. 24(3). 1 indexed citations
3.
Rossman, Wayne, Masaaki Umehara, & Kotaro Yamada. (2018). Constant Mean Curvature 1 Surfaces with Low Total Curvature in Hyperbolic 3-Space. Advanced studies in pure mathematics. 245–253.
4.
Fujimori, Shoichi, et al.. (2017). Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space. Osaka Journal of Mathematics. 54(2). 249–272. 8 indexed citations
5.
Fujimori, Shoichi, Wayne Rossman, Hyeonjoon Shin, et al.. (2015). Zero mean curvature surfaces in Lorentz--Minkowski 3-space which change type across a light-like line. Osaka Journal of Mathematics. 52(1). 285–297. 11 indexed citations
6.
Burstall, Francis E., et al.. (2014). Discrete surfaces of constant mean curvature (部分多様体の微分幾何学の深化 : RIMS研究集会報告集). 数理解析研究所講究録. 1880(1880). 133–179. 3 indexed citations
7.
Hoffmann, Tim, Wayne Rossman, T. Sasaki, & Masaaki Yoshida. (2012). Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space. Transactions of the American Mathematical Society. 364(11). 5605–5644. 9 indexed citations
8.
Fujimori, Shoichi, Wayne Rossman, Hyeonjoon Shin, et al.. (2012). Zero mean curvature surfaces in L 3 containing a light-like line. Comptes Rendus Mathématique. 350(21-22). 975–978. 15 indexed citations
9.
Burstall, Francis E., Udo Hertrich-Jeromin, & Wayne Rossman. (2010). Lie geometry of flat fronts in hyperbolic space. Comptes Rendus Mathématique. 348(11-12). 661–664. 8 indexed citations
10.
Kokubu, Masatoshi, Wayne Rossman, Masaaki Umehara, & Kotaro Yamada. (2009). Asymptotic behavior of flat surfaces in hyperbolic 3-space. Journal of the Mathematical Society of Japan. 61(3). 12 indexed citations
11.
Rossman, Wayne, et al.. (2009). Holomorphic representation of constant mean curvature surfaces in Minkowski space: Consequences of non-compactness in loop group methods. Advances in Mathematics. 223(3). 949–986. 15 indexed citations
12.
Rossman, Wayne & Nahid Sultana. (2008). The spectra of Jacobi operators for Constant Mean Curvature Tori of Revolution in the $3$-sphere. Tokyo Journal of Mathematics. 31(1). 3 indexed citations
13.
Kokubu, Masatoshi, Wayne Rossman, & Masaaki Umehara. (2007). Flat fronts in hyperbolic 3-space and their caustics. Journal of the Mathematical Society of Japan. 59(1). 36 indexed citations
14.
Kokubu, Masatoshi, Wayne Rossman, Kentaro Saji, Masaaki Umehara, & Kotaro Yamada. (2005). Singularities of flat fronts in hyperbolic space. Pacific Journal of Mathematics. 221(2). 303–351. 121 indexed citations
15.
Rossman, Wayne, et al.. (2004). Constant mean curvature surfaces with Delaunay ends in three dimensional space forms. arXiv (Cornell University). 1 indexed citations
16.
Rossman, Wayne. (2002). Lower Bounds for Morse Index of Constant Mean Curvature Tori. Bulletin of the London Mathematical Society. 34(5). 599–609. 5 indexed citations
17.
Rossman, Wayne. (2000). On embeddedness of area-minimizing disks, and an application to constructing complete minimal surfaces. Journal of the Mathematical Society of Japan. 52(1). 1 indexed citations
18.
Rossman, Wayne. (1999). Wente tori and morse index. Anais da Academia Brasileira de Ciências. 71. 608–613. 1 indexed citations
19.
Rossman, Wayne. (1998). MINIMAL SUREACES WITH PLANAR BOUNDARY CURVES. Kyushu Journal of Mathematics. 52(1). 209–225. 2 indexed citations
20.
Rossman, Wayne, Masaaki Umehara, & Kotaro Yamada. (1997). Irreducible constant mean curvature $1$ surfaces in hyperbolic space with positive genus. Tohoku Mathematical Journal. 49(4). 32 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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