Shiu‐Yuen Cheng

3.5k total citations
16 papers, 2.1k citations indexed

About

Shiu‐Yuen Cheng is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Shiu‐Yuen Cheng has authored 16 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Applied Mathematics, 8 papers in Geometry and Topology and 4 papers in Mathematical Physics. Recurrent topics in Shiu‐Yuen Cheng's work include Geometric Analysis and Curvature Flows (9 papers), Geometry and complex manifolds (5 papers) and Nonlinear Partial Differential Equations (3 papers). Shiu‐Yuen Cheng is often cited by papers focused on Geometric Analysis and Curvature Flows (9 papers), Geometry and complex manifolds (5 papers) and Nonlinear Partial Differential Equations (3 papers). Shiu‐Yuen Cheng collaborates with scholars based in United States and Hong Kong. Shiu‐Yuen Cheng's co-authors include Shing‐Tung Yau, Shing‐Tung Yau, Peter Li, Peter Li, Tom Yau-heng Wan, Luen-Fai Tam, Johan Tysk, Wesley Ford, Peter R. Kerndt and Mark D. Weber and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Annals of Epidemiology.

In The Last Decade

Shiu‐Yuen Cheng

16 papers receiving 1.8k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Shiu‐Yuen Cheng United States 12 1.9k 1.4k 539 338 303 16 2.1k
Jerry L. Kazdan United States 15 1.4k 0.8× 540 0.4× 301 0.6× 473 1.4× 721 2.4× 28 1.7k
Reese Harvey United States 18 1.2k 0.6× 996 0.7× 249 0.5× 386 1.1× 158 0.5× 38 1.5k
Robert E. Greene United States 19 818 0.4× 686 0.5× 180 0.3× 271 0.8× 117 0.4× 46 1.1k
Wu-Yi Hsiang United States 20 822 0.4× 826 0.6× 273 0.5× 422 1.2× 111 0.4× 69 1.3k
Paul Gauduchon France 18 1.2k 0.6× 1.1k 0.8× 395 0.7× 408 1.2× 112 0.4× 35 1.5k
J.-H. Eschenburg Germany 16 987 0.5× 856 0.6× 422 0.8× 303 0.9× 77 0.3× 51 1.3k
Morio Obata Japan 11 1.0k 0.5× 668 0.5× 489 0.9× 217 0.6× 165 0.5× 23 1.2k
William P. Minicozzi United States 23 1.5k 0.8× 1.1k 0.8× 260 0.5× 325 1.0× 191 0.6× 59 1.6k
Werner Ballmann Germany 19 893 0.5× 1.1k 0.8× 213 0.4× 805 2.4× 177 0.6× 48 1.5k
Sebastián Montiel Spain 19 1.1k 0.6× 889 0.6× 541 1.0× 136 0.4× 57 0.2× 42 1.2k

Countries citing papers authored by Shiu‐Yuen Cheng

Since Specialization
Citations

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

Fields of papers citing papers by Shiu‐Yuen Cheng

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Shiu‐Yuen Cheng. 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 Shiu‐Yuen Cheng. The network helps show where Shiu‐Yuen Cheng may publish in the future.

Co-authorship network of co-authors of Shiu‐Yuen Cheng

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

All Works

16 of 16 papers shown
1.
Ford, Wesley, et al.. (1997). A probability-based approach for predicting HIV infection in a low prevalent population of injection drug users. Annals of Epidemiology. 7(1). 28–34. 6 indexed citations
2.
Cheng, Shiu‐Yuen, et al.. (1997). Isoperimetric inequalities and the gap between the first and second eigenvalues of an Euclidean domain. Journal of Geometric Analysis. 7(2). 217–239. 11 indexed citations
3.
Cheng, Shiu‐Yuen, Luen-Fai Tam, & Tom Yau-heng Wan. (1996). Harmonic maps with finite total energy. Proceedings of the American Mathematical Society. 124(1). 275–284. 19 indexed citations
4.
Cheng, Shiu‐Yuen & Johan Tysk. (1994). Schrödinger Operators and Index Bounds for Minimal Submanifolds. Rocky Mountain Journal of Mathematics. 24(3). 6 indexed citations
5.
Cheng, Shiu‐Yuen. (1993). The Dirichlet problem at infinity for nonpositively curved manifolds. Communications in Analysis and Geometry. 1(1). 101–112. 9 indexed citations
6.
Cheng, Shiu‐Yuen & Shing‐Tung Yau. (1986). Complete affine hypersurfaces. Part I. The completeness of affine metrics. Communications on Pure and Applied Mathematics. 39(6). 839–866. 150 indexed citations
7.
Cheng, Shiu‐Yuen, Peter Li, & Shing‐Tung Yau. (1984). Heat Equations on Minimal Submanifolds and Their Applications. American Journal of Mathematics. 106(5). 1033–1033. 65 indexed citations
8.
Cheng, Shiu‐Yuen & Peter Li. (1981). Heat kernel estimates and lower bound of eigenvalues. Commentarii Mathematici Helvetici. 56(1). 327–338. 62 indexed citations
9.
Cheng, Shiu‐Yuen & Shing‐Tung Yau. (1980). On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation. Communications on Pure and Applied Mathematics. 33(4). 507–544. 258 indexed citations
10.
Cheng, Shiu‐Yuen & Shing‐Tung Yau. (1977). Hypersurfaces with constant scalar curvature. Mathematische Annalen. 225(3). 195–204. 256 indexed citations
11.
Cheng, Shiu‐Yuen & Shing‐Tung Yau. (1977). On the regularity of the monge‐ampère equation det (∂2 u/∂xi ∂xj) = f(x, u). Communications on Pure and Applied Mathematics. 30(1). 41–68. 176 indexed citations
12.
Cheng, Shiu‐Yuen. (1976). A Characterization of the 2-Sphere by Eigenfunctions. Proceedings of the American Mathematical Society. 55(2). 379–379. 3 indexed citations
13.
Cheng, Shiu‐Yuen. (1976). Eigenfunctions and nodal sets. Commentarii Mathematici Helvetici. 51(1). 43–55. 232 indexed citations
14.
Cheng, Shiu‐Yuen & Shing‐Tung Yau. (1976). Maximal Space-like Hypersurfaces in the Lorentz-Minkowski Spaces. Annals of Mathematics. 104(3). 407–407. 356 indexed citations
15.
Cheng, Shiu‐Yuen & Shing‐Tung Yau. (1976). On the regularity of the solution of the n‐dimensional Minkowski problem. Communications on Pure and Applied Mathematics. 29(5). 495–516. 191 indexed citations
16.
Cheng, Shiu‐Yuen. (1975). Eigenvalue comparison theorems and its geometric applications. Mathematische Zeitschrift. 143(3). 289–297. 325 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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