Frederick J. Almgren

1.7k total citations
16 papers, 965 citations indexed

About

Frederick J. Almgren is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Frederick J. Almgren has authored 16 papers receiving a total of 965 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Applied Mathematics, 5 papers in Geometry and Topology and 5 papers in Computational Theory and Mathematics. Recurrent topics in Frederick J. Almgren's work include Geometric Analysis and Curvature Flows (5 papers), Nonlinear Partial Differential Equations (4 papers) and Advanced Mathematical Modeling in Engineering (4 papers). Frederick J. Almgren is often cited by papers focused on Geometric Analysis and Curvature Flows (5 papers), Nonlinear Partial Differential Equations (4 papers) and Advanced Mathematical Modeling in Engineering (4 papers). Frederick J. Almgren collaborates with scholars based in United States. Frederick J. Almgren's co-authors include Frank Morgan, Élliott H. Lieb, Jean E. Taylor, William K. Allard, Leon Simon and William P. Thurston and has published in prestigious journals such as Annals of Mathematics, Scientific American and American Mathematical Monthly.

In The Last Decade

Frederick J. Almgren

16 papers receiving 822 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Frederick J. Almgren United States 11 635 329 228 228 94 16 965
F. J. Almgren United States 15 843 1.3× 368 1.1× 233 1.0× 410 1.8× 137 1.5× 27 1.2k
Michael E. Gage United States 8 869 1.4× 466 1.4× 182 0.8× 193 0.8× 262 2.8× 17 1.3k
Reiner Schätzle Germany 16 584 0.9× 261 0.8× 151 0.7× 294 1.3× 176 1.9× 47 942
Zheng-Xu He United States 16 268 0.4× 377 1.1× 154 0.7× 100 0.4× 86 0.9× 37 755
Anthony J. Tromba United States 17 495 0.8× 416 1.3× 199 0.9× 125 0.5× 72 0.8× 53 857
Johannes C. C. Nitsche United States 18 967 1.5× 612 1.9× 129 0.6× 404 1.8× 253 2.7× 74 1.4k
Antonio R�os Spain 22 1.3k 2.0× 949 2.9× 154 0.7× 237 1.0× 114 1.2× 64 1.5k
Herman Gluck United States 17 410 0.6× 521 1.6× 284 1.2× 110 0.5× 145 1.5× 59 1.0k
Francesco Maggi Italy 19 1.2k 1.8× 273 0.8× 439 1.9× 578 2.5× 91 1.0× 52 1.5k
Guy David France 24 1.5k 2.3× 458 1.4× 813 3.6× 524 2.3× 100 1.1× 56 1.8k

Countries citing papers authored by Frederick J. Almgren

Since Specialization
Citations

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

Fields of papers citing papers by Frederick J. Almgren

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frederick J. Almgren. 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 Frederick J. Almgren. The network helps show where Frederick J. Almgren may publish in the future.

Co-authorship network of co-authors of Frederick J. Almgren

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

All Works

16 of 16 papers shown
1.
Almgren, Frederick J.. (2001). Plateau’s Problem. 7 indexed citations
2.
Almgren, Frederick J. & Jean E. Taylor. (1999). Selected works of Frederick J. Almgren, Jr.. 2 indexed citations
3.
Almgren, Frederick J.. (1995). Computing Laplacian dendrites. Dialnet (Universidad de la Rioja). 1–12. 1 indexed citations
4.
Almgren, Frederick J. & Élliott H. Lieb. (1989). Symmetric Decreasing Rearrangement Is Sometimes Continuous. Journal of the American Mathematical Society. 2(4). 683–683. 43 indexed citations
5.
Almgren, Frederick J. & Frank Morgan. (1989). Geometric Measure Theory. A Beginner's Guide.. American Mathematical Monthly. 96(8). 753–753. 356 indexed citations
6.
Almgren, Frederick J. & Élliott H. Lieb. (1989). Symmetric decreasing rearrangement is sometimes continuous. Journal of the American Mathematical Society. 2(4). 683–773. 175 indexed citations
7.
Almgren, Frederick J. & Élliott H. Lieb. (1989). Symmetric decreasing rearrangement can be discontinuous. Bulletin of the American Mathematical Society. 20(2). 177–180. 5 indexed citations
8.
Almgren, Frederick J. & Élliott H. Lieb. (1988). Singularities of Energy Minimizing Maps From the Ball to the Sphere: Examples, Counterexamples, and Bounds. Annals of Mathematics. 128(3). 483–483. 34 indexed citations
9.
Almgren, Frederick J. & Élliott H. Lieb. (1987). Singularities of energy-minimizing maps from the ball to the sphere. Bulletin of the American Mathematical Society. 17(2). 304–306. 6 indexed citations
10.
Allard, William K. & Frederick J. Almgren. (1986). Geometric Measure Theory and the Calculus of Variations. 22 indexed citations
11.
Allard, William K. & Frederick J. Almgren. (1981). On the Radial Behavior of Minimal Surfaces and the Uniqueness of their Tangent Cones. Annals of Mathematics. 113(2). 215–215. 45 indexed citations
12.
Almgren, Frederick J. & Leon Simon. (1979). Existence of embedded solutions of Plateau's problem. French digital mathematics library (Numdam). 6(3). 447–495. 35 indexed citations
13.
Almgren, Frederick J. & William P. Thurston. (1977). Examples of Unknotted Curves Which Bound Only Surfaces of High Genus Within Their Convex Hulls. Annals of Mathematics. 105(3). 527–527. 10 indexed citations
14.
Almgren, Frederick J. & Jean E. Taylor. (1976). The Geometry of Soap Films and Soap Bubbles. Scientific American. 235(1). 82–93. 110 indexed citations
15.
Almgren, Frederick J., et al.. (1968). Plateau's Problem; an Invitation to Varifold Geometry.. American Mathematical Monthly. 75(6). 697–697. 28 indexed citations
16.
Almgren, Frederick J.. (1962). The homotopy groups of the integral cycle groups. Topology. 1(4). 257–299. 86 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by F. J. Almgren Breakdown of academic impact, for papers by Michael E. Gage Breakdown of academic impact, for papers by Reiner Schätzle Breakdown of academic impact, for papers by Zheng-Xu He Breakdown of academic impact, for papers by Anthony J. Tromba Breakdown of academic impact, for papers by Johannes C. C. Nitsche Breakdown of academic impact, for papers by Antonio R�os Breakdown of academic impact, for papers by Herman Gluck Breakdown of academic impact, for papers by Francesco Maggi Breakdown of academic impact, for papers by Guy David
Rankless by CCL
2026