Michael E. Gage

2.4k citations
18 papers · 1.5k · 1 hit paper · h-index 9

Impact in

    • Geometric Analysis and Curvature Flows
    • Point processes and geometric inequalities
    • Nonlinear Partial Differential Equations
    • Geometry and complex manifolds

Papers in

    • Point processes and geometric inequalities 6
    • Geometric Analysis and Curvature Flows 3
    • Mathematics and Applications 4
    • Analytic and geometric function theory 1

Michael E. Gage

17 papers receiving 1.3k citations

Michael E. Gage's Hit Papers

The heat equation shrinking convex plane curves 1986 · 826 citations
8260+13+26Years since publication250500750

Peers

Michael E. Gage
Comparison fields: 5 of 74
  • Applied Mathematics 945
  • Geometry and Topology 503
  • Computer Graphics and Computer-Aided Design 138
  • Mathematical Physics 201
  • Computational Mechanics 354
Replace L. C. Evans with:
L. C. Evans United States
Shun’ichi Goto Japan
Frederick J. Almgren United States
F. J. Almgren United States
Herman Gluck United States
Joel Langer United States
Isaac Chavel United States
Antonio R�os Spain
Bennett Chow United States
Eugenio Calabi United States
Michael E. Gage relative to L. C. Evans United States L. C. Evans's profile →
Citations per field
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L. C. Evans · 1×
Citations per year

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-authors

The 3 scholars most cited alongside Michael E. Gage, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Michael E. Gage Line = papers co-authored together Michael E. Gage links everyone, so they are left out of the graph.

All Works

18 of 18 papers shown
#Work
1
The heat equation shrinking convex plane curves
Hit paper breakdown →
1986826
2 1984186
3 1983137
4 199395
5 198776
6 199449
7 199027
8
198022
9 199016
10
19907
11 19805
12 19904
13 19533
14 19853
15 19813
16 19802
17
Upper bounds for the first eigenvalue of the Laplace-Beltrami operator and an isoperimetric inequality for linked spheres
19781
18 19850

About Michael E. Gage

Michael E. Gage is a scholar working on Applied Mathematics, Geometry and Topology, Computational Mechanics, Polymers and Plastics and Mechanical Engineering, having authored 18 papers that have together received 1.5k indexed citations. Recurring topics across this work include Point processes and geometric inequalities (6 papers), Mathematics and Applications (4 papers), Geometric Analysis and Curvature Flows (3 papers), Advanced Numerical Analysis Techniques (3 papers), 3D Shape Modeling and Analysis (2 papers), Textile materials and evaluations (2 papers), Advanced Materials and Mechanics (1 paper) and Analytic and geometric function theory (1 paper). The work is most often cited by research in Applied Mathematics (945 citations), Geometry and Topology (503 citations), Computer Graphics and Computer-Aided Design (138 citations), Mathematical Physics (201 citations) and Computational Mechanics (354 citations). Michael E. Gage has collaborated with scholars based in United States. Frequent co-authors include Richard S. Hamilton, Charles L. Epstein and Yi Li. Their work appears in journals such as Duke Mathematical Journal, Proceedings of the American Mathematical Society, Indiana University Mathematics Journal, Journal of Sedimentary Research and American Journal of Mathematics.

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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