Michael E. Gage

2.3k citations
17 papers · 1.3k · 1 hit paper · h-index 8

Impact in

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

Papers in

Michael E. Gage

16 papers receiving 1.1k citations

Michael E. Gage's Hit Papers

The heat equation shrinking convex plane curves 1986 · 737 citations
7370+13+26Years since publication200400600

Peers

Michael E. Gage
Comparison fields: 5 of 70
  • Applied Mathematics 869
  • Geometry and Topology 466
  • Computer Graphics and Computer-Aided Design 88
  • Mathematical Physics 182
  • Computational Mechanics 262
Replace L. C. Evans with:
L. C. Evans United States
Frederick J. Almgren United States
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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 2 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

17 of 17 papers shown
#Work
1
The heat equation shrinking convex plane curves
Hit paper breakdown →
1986737
2 1984166
3 1983122
4 199390
5 199446
6 199027
7
198020
8 199014
9
19907
10 19805
11 19904
12 19813
13 19533
14 19853
15 19802
16
Upper bounds for the first eigenvalue of the Laplace-Beltrami operator and an isoperimetric inequality for linked spheres
19781
17 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 17 papers that have together received 1.3k indexed citations. Recurring topics across this work include Point processes and geometric inequalities (6 papers), Mathematics and Applications (4 papers), Advanced Numerical Analysis Techniques (3 papers), 3D Shape Modeling and Analysis (2 papers), Geometric Analysis and Curvature Flows (2 papers), Textile materials and evaluations (2 papers), Advanced Materials and Mechanics (1 paper) and Structural Analysis and Optimization (1 paper). The work is most often cited by research in Applied Mathematics (869 citations), Geometry and Topology (466 citations), Computer Graphics and Computer-Aided Design (88 citations), Mathematical Physics (182 citations) and Computational Mechanics (262 citations). Michael E. Gage has collaborated with scholars based in United States. Frequent co-authors include Richard S. Hamilton and Yi Li. Their work appears in journals such as Duke Mathematical Journal, Proceedings of the American Mathematical Society, Indiana University Mathematics Journal, Inventiones mathematicae 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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