Herbert Fédérer

6.2k total citations · 3 hit papers
38 papers, 3.3k citations indexed

About

Herbert Fédérer is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Herbert Fédérer has authored 38 papers receiving a total of 3.3k indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Applied Mathematics, 6 papers in Mathematical Physics and 6 papers in Geometry and Topology. Recurrent topics in Herbert Fédérer's work include Point processes and geometric inequalities (4 papers), Geometric Analysis and Curvature Flows (4 papers) and Mathematical functions and polynomials (4 papers). Herbert Fédérer is often cited by papers focused on Point processes and geometric inequalities (4 papers), Geometric Analysis and Curvature Flows (4 papers) and Mathematical functions and polynomials (4 papers). Herbert Fédérer collaborates with scholars based in United States and South Sudan. Herbert Fédérer's co-authors include Wendell H. Fleming, William P. Ziemer and Bjàrni Jónsson and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Herbert Fédérer

32 papers receiving 2.7k 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.

Geometric Measure Theory

1996 1.5k citations Herbert Fédérer profile →
Curvature measures

1959 528 citations Herbert Fédérer Transactions of the American Mathematical Society profile →
Normal and Integral Currents

1960 491 citations Herbert Fédérer, Wendell H. Fleming Annals of Mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Herbert Fédérer United States	17	2.1k	1.3k	968	928	307	38	3.3k
Lars V. Ahlfors United States	24	2.8k 1.4×	2.9k 2.2×	1.6k 1.6×	750 0.8×	345 1.1×	49	5.2k
Hassler Whitney United States	13	528 0.3×	785 0.6×	603 0.6×	375 0.4×	310 1.0×	18	2.0k
Lipman Bers United States	28	1.8k 0.9×	1.8k 1.4×	1.3k 1.3×	534 0.6×	295 1.0×	75	3.2k
Enrico Giusti Italy	21	3.0k 1.5×	654 0.5×	1.3k 1.3×	2.2k 2.4×	412 1.3×	55	4.1k
William P. Ziemer United States	28	3.1k 1.5×	786 0.6×	1.4k 1.4×	1.9k 2.1×	385 1.3×	85	4.1k
F. W. Warner United States	14	1.6k 0.8×	934 0.7×	840 0.9×	717 0.8×	112 0.4×	20	2.7k
James Eells United Kingdom	25	1.9k 0.9×	1.8k 1.4×	885 0.9×	496 0.5×	153 0.5×	61	3.0k
Richard S. Palais United States	28	2.0k 1.0×	1.9k 1.5×	2.0k 2.0×	851 0.9×	140 0.5×	64	4.4k
Wilhelm Klingenberg Germany	23	1.3k 0.6×	1.2k 1.0×	701 0.7×	268 0.3×	173 0.6×	90	2.5k
Ennio De Giorgi Italy	15	1.2k 0.6×	390 0.3×	590 0.6×	921 1.0×	239 0.8×	32	1.9k

Countries citing papers authored by Herbert Fédérer

Since Specialization

Citations

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

Fields of papers citing papers by Herbert Fédérer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Herbert Fédérer

This figure shows the co-authorship network connecting the top 25 collaborators of Herbert Fédérer. A scholar is included among the top collaborators of Herbert Fédérer 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 Herbert Fédérer. Herbert Fédérer 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

1.

Fédérer, Herbert. (1986). . Indiana University Mathematics Journal. 35(2). 413–413. 5 indexed citations

2.

Fédérer, Herbert. (1974). . Indiana University Mathematics Journal. 24(4). 351–351. 32 indexed citations

3.

Fédérer, Herbert. (1974). Real Flat Chains, Cochains and Variational Problems. Indiana University Mathematics Journal. 24(4). 351–407. 105 indexed citations

4.

Fédérer, Herbert & William P. Ziemer. (1972). The Lebesgue Set of a Function whose Distribution Derivatives are p-th Power Summable. Indiana University Mathematics Journal. 22(2). 139–158. 140 indexed citations

5.

Fédérer, Herbert. (1971). Slices and Potentials. Indiana University Mathematics Journal. 21(4). 373–382. 1 indexed citations

6.

Fédérer, Herbert. (1970). The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension. Bulletin of the American Mathematical Society. 76(4). 767–772. 117 indexed citations

7.

Fédérer, Herbert. (1968). Some properties of distributions whose partial derivatives are representable by integration. Bulletin of the American Mathematical Society. 74(1). 183–187. 7 indexed citations

8.

Fédérer, Herbert. (1966). Two theorems in geometric measure theory. Bulletin of the American Mathematical Society. 72(4). 719–720. 9 indexed citations

9.

Fédérer, Herbert. (1965). Some theorems on integral currents. Transactions of the American Mathematical Society. 117(0). 43–67. 45 indexed citations

10.

Fédérer, Herbert. (1961). Approximation of Integral Currents by Cycles. Proceedings of the American Mathematical Society. 12(6). 882–882. 3 indexed citations

11.

Fédérer, Herbert. (1960). The Area of a Nonparametric Surface. Proceedings of the American Mathematical Society. 11(3). 436–436. 3 indexed citations

12.

Fédérer, Herbert & Wendell H. Fleming. (1960). Normal and Integral Currents. Annals of Mathematics. 72(3). 458–458. 491 indexed citations breakdown →

13.

Fédérer, Herbert. (1959). Curvature Measures. Transactions of the American Mathematical Society. 93(3). 418–418. 58 indexed citations

14.

Fédérer, Herbert, et al.. (1959). On Lebesgue area. II. Transactions of the American Mathematical Society. 90(3). 499–522. 3 indexed citations

15.

Fédérer, Herbert, et al.. (1959). On Lebesgue Area. II. Transactions of the American Mathematical Society. 90(3). 499–499. 3 indexed citations

16.

Fédérer, Herbert. (1959). Curvature measures. Transactions of the American Mathematical Society. 93(3). 418–491. 528 indexed citations breakdown →

17.

Fédérer, Herbert. (1958). Book Review: Geometric integration Theory. Bulletin of the American Mathematical Society. 64(1). 38–42. 1 indexed citations

18.

Fédérer, Herbert. (1955). An Addition Theorem for Lebesgue Area. Proceedings of the American Mathematical Society. 6(6). 911–911. 5 indexed citations

19.

Fédérer, Herbert. (1954). Some Integralgeometric Theorems. Transactions of the American Mathematical Society. 77(2). 238–238. 13 indexed citations

20.

Fédérer, Herbert. (1954). Some integralgeometric theorems. Transactions of the American Mathematical Society. 77(2). 238–261. 23 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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