Michael E. Gage

2.3k total citations · 1 hit paper
17 papers, 1.3k citations indexed

About

Michael E. Gage is a scholar working on Applied Mathematics, Geometry and Topology and Computational Mechanics. According to data from OpenAlex, Michael E. Gage has authored 17 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Applied Mathematics, 5 papers in Geometry and Topology and 4 papers in Computational Mechanics. Recurrent topics in Michael E. Gage's work include Point processes and geometric inequalities (6 papers), Mathematics and Applications (4 papers) and Advanced Numerical Analysis Techniques (3 papers). Michael E. Gage is often cited by papers focused on Point processes and geometric inequalities (6 papers), Mathematics and Applications (4 papers) and Advanced Numerical Analysis Techniques (3 papers). Michael E. Gage collaborates with scholars based in United States. Michael E. Gage's co-authors include Richard S. Hamilton and Yi Li and has published in prestigious journals such as Journal of Sedimentary Research, Inventiones mathematicae and Journal of Differential Geometry.

In The Last Decade

Michael E. Gage

16 papers receiving 1.1k citations

Hit Papers

align trajectories

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.

The heat equation shrinking convex plane curves

1986 737 citations Michael E. Gage, Richard S. Hamilton Journal of Differential Geometry profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michael E. Gage United States	8	869	466	262	193	182	17	1.3k
L. C. Evans United States	11	750 0.9×	264 0.6×	263 1.0×	463 2.4×	254 1.4×	16	1.3k
Frederick J. Almgren United States	11	635 0.7×	329 0.7×	94 0.4×	228 1.2×	228 1.3×	16	965
Antonio R�os Spain	22	1.3k 1.5×	949 2.0×	114 0.4×	237 1.2×	154 0.8×	64	1.5k
F. J. Almgren United States	15	843 1.0×	368 0.8×	137 0.5×	410 2.1×	233 1.3×	27	1.2k
Shun’ichi Goto Japan	8	541 0.6×	148 0.3×	171 0.7×	342 1.8×	149 0.8×	11	856
Ennio De Giorgi Italy	15	1.2k 1.4×	390 0.8×	239 0.9×	921 4.8×	590 3.2×	32	1.9k
Herman Gluck United States	17	410 0.5×	521 1.1×	145 0.6×	110 0.6×	284 1.6×	59	1.0k
Christopher B. Croke United States	20	774 0.9×	737 1.6×	89 0.3×	204 1.1×	514 2.8×	57	1.4k
Isaac Chavel United States	15	751 0.9×	443 1.0×	66 0.3×	230 1.2×	370 2.0×	33	1.1k
Joel Langer United States	15	601 0.7×	470 1.0×	149 0.6×	179 0.9×	177 1.0×	32	1.2k

Countries citing papers authored by Michael E. Gage

Since Specialization

Citations

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

Fields of papers citing papers by Michael E. Gage

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael E. Gage. 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 Michael E. Gage. The network helps show where Michael E. Gage may publish in the future.

Co-authorship network of co-authors of Michael E. Gage

This figure shows the co-authorship network connecting the top 25 collaborators of Michael E. Gage. A scholar is included among the top collaborators of Michael E. Gage 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 Michael E. Gage. Michael E. Gage 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:

17 of 17 papers shown

1.

Gage, Michael E. & Yi Li. (1994). Evolving plane curves by curvature in relative geometries II. Duke Mathematical Journal. 75(1). 46 indexed citations

2.

Gage, Michael E.. (1993). Evolving plane curves by curvature in relative geometries. Duke Mathematical Journal. 72(2). 90 indexed citations

3.

Gage, Michael E.. (1990). Positive Centers and the Bonnesen Inequality. Proceedings of the American Mathematical Society. 110(4). 1041–1041. 4 indexed citations

4.

Gage, Michael E.. (1990). Curve shortening on surfaces. Annales Scientifiques de l École Normale Supérieure. 23(2). 229–256. 27 indexed citations

5.

Gage, Michael E.. (1990). Positive centers and the Bonnesen inequality. Proceedings of the American Mathematical Society. 110(4). 1041–1048. 14 indexed citations

6.

Gage, Michael E.. (1990). . Indiana University Mathematics Journal. 39(4). 1037–1037. 7 indexed citations

7.

Gage, Michael E. & Richard S. Hamilton. (1986). The heat equation shrinking convex plane curves. Journal of Differential Geometry. 23(1). 737 indexed citations breakdown →

8.

Gage, Michael E.. (1985). A Note on Skew-Hopf Fibrations. Proceedings of the American Mathematical Society. 93(1). 145–145.

9.

Gage, Michael E.. (1985). A note on skew-Hopf fibrations. Proceedings of the American Mathematical Society. 93(1). 145–150. 3 indexed citations

10.

Gage, Michael E.. (1984). Curve shortening makes convex curves circular. Inventiones mathematicae. 76(2). 357–364. 166 indexed citations

11.

Gage, Michael E.. (1983). An isoperimetric inequality with applications to curve shortening. Duke Mathematical Journal. 50(4). 122 indexed citations

12.

Gage, Michael E.. (1981). On Gehring's Linked Sphere Problem. American Journal of Mathematics. 103(3). 437–437. 3 indexed citations

13.

Gage, Michael E.. (1980). A Review of the Viking Gas Field<xref ref-type="fn" rid="ch03fn1"><sup>1</sup></xref>. American Association of Petroleum Geologists eBooks. 2 indexed citations

14.

Gage, Michael E.. (1980). . Indiana University Mathematics Journal. 29(6). 897–897. 20 indexed citations

15.

Gage, Michael E.. (1980). A proof of Gehring’s linked spheres conjecture. Duke Mathematical Journal. 47(3). 5 indexed citations

16.

Gage, Michael E.. (1978). Upper bounds for the first eigenvalue of the Laplace-Beltrami operator and an isoperimetric inequality for linked spheres. Medical Entomology and Zoology. 1 indexed citations

17.

Gage, Michael E.. (1953). Transport and rounding of large boulders in mountain streams. Journal of Sedimentary Research. 23(1). 60–61. 3 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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