Frank Morgan

4.2k total citations
126 papers, 2.0k citations indexed

About

Frank Morgan is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Frank Morgan has authored 126 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 66 papers in Applied Mathematics, 44 papers in Geometry and Topology and 18 papers in Computational Theory and Mathematics. Recurrent topics in Frank Morgan's work include Geometric Analysis and Curvature Flows (52 papers), Point processes and geometric inequalities (41 papers) and Computational Geometry and Mesh Generation (17 papers). Frank Morgan is often cited by papers focused on Geometric Analysis and Curvature Flows (52 papers), Point processes and geometric inequalities (41 papers) and Computational Geometry and Mesh Generation (17 papers). Frank Morgan collaborates with scholars based in United States, Spain and Netherlands. Frank Morgan's co-authors include Frederick J. Almgren, Michael Hutchings, Manuel Ritoré, David L. Johnson, Antonio R�os, César Rosales, Stefan Hildebrandt, Anthony J. Tromba, Roger Bolton and John E. Brothers and has published in prestigious journals such as SHILAP Revista de lepidopterología, Reviews of Modern Physics and Clinical Infectious Diseases.

In The Last Decade

Frank Morgan

120 papers receiving 1.8k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Frank Morgan United States	23	1.3k	644	419	295	233	126	2.0k
L. C. Evans United States	11	750 0.6×	264 0.4×	463 1.1×	254 0.9×	100 0.4×	16	1.3k
Stefan Hildebrandt Germany	26	1.4k 1.1×	570 0.9×	856 2.0×	381 1.3×	101 0.4×	107	2.4k
Giovanni Bellettini Italy	23	860 0.7×	171 0.3×	717 1.7×	456 1.5×	192 0.8×	124	1.7k
H. Hadwiger Switzerland	16	658 0.5×	416 0.6×	273 0.7×	166 0.6×	100 0.4×	59	1.5k
Wilfrid Gangbo United States	23	1.3k 1.0×	548 0.9×	456 1.1×	332 1.1×	31 0.1×	54	2.0k
Alexander I. Bobenko Germany	25	409 0.3×	671 1.0×	183 0.4×	276 0.9×	47 0.2×	61	2.1k
Frederick J. Almgren United States	11	635 0.5×	329 0.5×	228 0.5×	228 0.8×	70 0.3×	16	965
Leon Simon United States	23	2.5k 2.0×	1.3k 2.0×	1.1k 2.7×	716 2.4×	83 0.4×	43	3.1k
Robert Osserman United States	27	3.0k 2.4×	1.9k 3.0×	806 1.9×	699 2.4×	71 0.3×	73	4.0k
Ennio De Giorgi Italy	15	1.2k 1.0×	390 0.6×	921 2.2×	590 2.0×	59 0.3×	32	1.9k

Countries citing papers authored by Frank Morgan

Since Specialization

Citations

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

Fields of papers citing papers by Frank Morgan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frank Morgan. 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 Frank Morgan. The network helps show where Frank Morgan may publish in the future.

Co-authorship network of co-authors of Frank Morgan

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

All Works

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20 of 20 papers shown

Newell, K. David, et al.. (2022). Increased Mortality Among Persons With Symptomatic Coronavirus Disease 2019 (COVID-19) During the Period of Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) B.1.617.2 (Delta Variant) Predominance: Alaska, November 2020–October 2021. Clinical Infectious Diseases. 75(Supplement_2). S298–S302. 1 indexed citations

Morgan, Frank. (2005). A round ball uniquely minimizes gravitational potential energy. Proceedings of the American Mathematical Society. 133(9). 2733–2735. 5 indexed citations

Morgan, Frank, et al.. (2004). Planar Clusters. arXiv (Cornell University). 2 indexed citations

Morgan, Frank, et al.. (2002). The standard double bubble is the unique stable double bubble in 𝐑². Proceedings of the American Mathematical Society. 130(9). 2745–2751. 12 indexed citations

Morgan, Frank & Roger Bolton. (2002). Hexagonal Economic Regions Solve the Location Problem. American Mathematical Monthly. 109(2). 165–165. 22 indexed citations

Brakke, Kenneth A. & Frank Morgan. (2002). Instabilities of cylindrical bubble clusters. The European Physical Journal E. 9(S1). 453–460. 11 indexed citations

Morgan, Frank. (2000). The Math Chat Book. 1 indexed citations

Adams, Colin & Frank Morgan. (1999). Isoperimetric curves on hyperbolic surfaces. Proceedings of the American Mathematical Society. 127(5). 1347–1356. 11 indexed citations

Morgan, Frank. (1998). Riemannian geometry : a beginner's guide. 50 indexed citations

10.

Morgan, Frank, et al.. (1997). Fermat's Last Theorem, the Four Color Conjecture, and Bill Clinton for April Fools' Day. American Mathematical Monthly. 104(3). 246–246.

11.

Gluck, Herman, Dana Mackenzie, & Frank Morgan. (1995). Volume-minimizing cycles in Grassmann manifolds. Duke Mathematical Journal. 79(2). 15 indexed citations

12.

Morgan, Frank. (1994). Surfaces Minimizing Area Plus Length of Singular Curves. Proceedings of the American Mathematical Society. 122(4). 1153–1153. 2 indexed citations

13.

Gluck, Herman, Frank Morgan, & Wolfgang Ziller. (1989). Calibrated geometries in Grassmann manifolds. Commentarii Mathematici Helvetici. 64(1). 256–268. 12 indexed citations

14.

Morgan, Frank. (1986). Soap Films and Problems without Unique Solutions. American Scientist. 74(3). 232–236. 2 indexed citations

15.

Morgan, Frank. (1986). A regularity theorem for minimizing hypersurfaces modulo 𝜈. Transactions of the American Mathematical Society. 297(1). 243–253. 10 indexed citations

16.

Morgan, Frank. (1985). The exterior algebra ΛkRn and area minimization. Linear Algebra and its Applications. 66. 1–28. 20 indexed citations

17.

Morgan, Frank. (1984). Examples of Unoriented Area-Minimizing Surfaces. Transactions of the American Mathematical Society. 283(1). 225–225. 8 indexed citations

18.

Morgan, Frank. (1983). On the singular structure of three-dimensional, area-minimizing surfaces. Transactions of the American Mathematical Society. 276(1). 137–143. 18 indexed citations

19.

Gulliver, Robert & Frank Morgan. (1982). The symmetry group of a curve preserves a plane. Proceedings of the American Mathematical Society. 84(3). 408–411. 2 indexed citations

20.

Morgan, Frank. (1976). A smooth curve in R4 bounding a continuum of area minimizing surfaces. Duke Mathematical Journal. 43(4). 7 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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