Shiing-Shen Chern

38.5k total citations · 6 hit papers
88 papers, 23.4k citations indexed

About

Shiing-Shen Chern is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Shiing-Shen Chern has authored 88 papers receiving a total of 23.4k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Applied Mathematics, 32 papers in Geometry and Topology and 14 papers in Astronomy and Astrophysics. Recurrent topics in Shiing-Shen Chern's work include Geometric Analysis and Curvature Flows (18 papers), Mathematics and Applications (17 papers) and Algebraic and Geometric Analysis (13 papers). Shiing-Shen Chern is often cited by papers focused on Geometric Analysis and Curvature Flows (18 papers), Mathematics and Applications (17 papers) and Algebraic and Geometric Analysis (13 papers). Shiing-Shen Chern collaborates with scholars based in United States, China and Germany. Shiing-Shen Chern's co-authors include Zhongmin Shen, Jürgen Moser, James Simons, David Bao, R. W. Sharpe, Robert L. Bryant, P. A. Griffiths, Hubert Goldschmidt, Robert B. Gardner and Raoul Bott and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Shiing-Shen Chern

85 papers receiving 21.0k citations

Hit Papers

Partial Differential Equations 1974 2026 1991 2008 1988 1989 1974 2000 1974 5.0k 10.0k 15.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Partial Differential Equations
    1988 17.3k citations Shiing-Shen Chern Lecture notes in mathematics profile →
  2. Selected Papers
    1989 795 citations Shiing-Shen Chern et al. profile →
  3. Real hypersurfaces in complex manifolds
    1974 603 citations Shiing-Shen Chern et al. profile →
  4. An Introduction to Riemann-Finsler Geometry
    2000 593 citations Shiing-Shen Chern et al. profile →
  5. Characteristic Forms and Geometric Invariants
    1974 504 citations Shiing-Shen Chern et al. profile →
  6. Exterior Differential Systems
    1991 471 citations Shiing-Shen Chern et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Shiing-Shen Chern United States 35 11.5k 7.0k 6.9k 3.9k 3.6k 88 23.4k
Walter Rudin United States 37 9.3k 0.8× 7.2k 1.0× 4.6k 0.7× 4.0k 1.1× 2.3k 0.6× 183 24.2k
Tosio Kato United States 51 11.5k 1.0× 14.9k 2.1× 8.4k 1.2× 1.5k 0.4× 4.5k 1.3× 115 28.0k
Neil S. Trudinger Australia 40 14.4k 1.3× 6.3k 0.9× 9.7k 1.4× 3.4k 0.9× 1.2k 0.3× 125 19.6k
Pierre‐Louis Lions France 67 12.6k 1.1× 8.3k 1.2× 8.9k 1.3× 1.1k 0.3× 2.6k 0.7× 192 23.0k
Milton Abramowitz United States 21 4.7k 0.4× 3.3k 0.5× 2.4k 0.3× 1.2k 0.3× 1.6k 0.5× 30 51.4k
David Gilbarg United States 15 9.7k 0.8× 4.9k 0.7× 7.3k 1.0× 1.6k 0.4× 1.1k 0.3× 20 14.5k
Haı̈m Brezis France 65 14.9k 1.3× 8.0k 1.1× 12.6k 1.8× 1.3k 0.3× 2.6k 0.7× 182 21.0k
Michael G. Crandall United States 47 7.6k 0.7× 3.0k 0.4× 6.2k 0.9× 976 0.3× 2.4k 0.7× 99 14.6k
Gian‐Carlo Rota United States 70 2.4k 0.2× 4.1k 0.6× 5.5k 0.8× 4.9k 1.3× 1.4k 0.4× 393 25.1k
Jerrold E. Marsden United States 90 3.3k 0.3× 4.0k 0.6× 2.7k 0.4× 3.9k 1.0× 8.2k 2.3× 406 33.3k

Countries citing papers authored by Shiing-Shen Chern

Since Specialization
Citations

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

Fields of papers citing papers by Shiing-Shen Chern

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Shiing-Shen Chern. 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 Shiing-Shen Chern. The network helps show where Shiing-Shen Chern may publish in the future.

Co-authorship network of co-authors of Shiing-Shen Chern

This figure shows the co-authorship network connecting the top 25 collaborators of Shiing-Shen Chern. A scholar is included among the top collaborators of Shiing-Shen Chern 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 Shiing-Shen Chern. Shiing-Shen Chern 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.
Chern, Shiing-Shen. (2013). Complex Manifolds without Potential Theory: with an appendix on the geometry of characteristic classes. Medical Entomology and Zoology. 3 indexed citations
2.
Cheng, Ching‐Lan, Shiing-Shen Chern, Qing Chen, & Fuchang Lin. (2006). Estimation of Transformer Inrush Current under Harmonic Source. 1081–1087.
3.
Cartan, Élie, Vladislav V. Goldberg, & Shiing-Shen Chern. (2001). Riemannian geometry in an orthogonal frame : from lectures delivered by Élie Cartan at th Sorbonne in 1926-27. WORLD SCIENTIFIC eBooks. 2 indexed citations
4.
Chern, Shiing-Shen & Friedrich Hirzebruch. (2000). Wolf Prize in Mathematics. WORLD SCIENTIFIC eBooks. 3 indexed citations
5.
Chern, Shiing-Shen. (1990). What Is Geometry?. American Mathematical Monthly. 97(8). 679–679. 13 indexed citations
6.
Chern, Shiing-Shen, et al.. (1989). Selected Papers. 795 indexed citations breakdown →
7.
Chern, Shiing-Shen. (1988). Partial Differential Equations. Lecture notes in mathematics. 17284 indexed citations breakdown →
8.
Rham, Georges de, et al.. (1984). Differentiable Manifolds: Forms, Currents, Harmonic Forms. Medical Entomology and Zoology. 57 indexed citations
9.
Chern, Shiing-Shen & Phillip Griffiths. (1978). An inequality for the rank of a web and webs of maximum rank. French digital mathematics library (Numdam). 5(3). 539–557. 16 indexed citations
10.
Chern, Shiing-Shen. (1977). Book Review: Integral geometry and geometric probability. Bulletin of the American Mathematical Society. 83(6). 1289–1291. 3 indexed citations
11.
Chern, Shiing-Shen & Robert Osserman. (1975). Differential Geometry. 8 indexed citations
12.
Chern, Shiing-Shen. (1975). On the projective structure of a real hypersurface in C.... MATHEMATICA SCANDINAVICA. 36. 75–83. 24 indexed citations
13.
Chern, Shiing-Shen & Robert Osserman. (1975). Differential Geometry. 37 indexed citations
14.
Chern, Shiing-Shen. (1973). The mathematical works of Wilhelm Blaschke. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 39(1). 1–9. 2 indexed citations
15.
Chern, Shiing-Shen & Robert Osserman. (1967). Complete minimal surfaces in Euclideann-space. Journal d Analyse Mathématique. 19(1). 15–34. 101 indexed citations
16.
Chern, Shiing-Shen. (1966). On the Kinematic Formula in Integral Geometry. Indiana University Mathematics Journal. 16(1). 101–118. 44 indexed citations
17.
Chern, Shiing-Shen. (1965). On the curvatures of a piece of hypersurface in euclidean space. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 29(1-2). 77–91. 64 indexed citations
18.
Chern, Shiing-Shen, et al.. (1960). A Uniqueness Theorem on Closed Convex Hypersurfaces in Euclidean Space. Indiana University Mathematics Journal. 9(1). 85–88. 3 indexed citations
19.
Chern, Shiing-Shen. (1959). Integral Formulas for Hypersurfaces in Euclidean Space and Their Applications to Uniqueness Theorems. Indiana University Mathematics Journal. 8(6). 947–955. 30 indexed citations
20.
Chern, Shiing-Shen. (1951). Topics in differential geometry. 63 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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