Benjamin Halpern

1.5k total citations · 1 hit paper
21 papers, 1.1k citations indexed

About

Benjamin Halpern is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Benjamin Halpern has authored 21 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Geometry and Topology, 6 papers in Computational Theory and Mathematics and 5 papers in Mathematical Physics. Recurrent topics in Benjamin Halpern's work include Mathematics and Applications (5 papers), Mathematical Dynamics and Fractals (5 papers) and Optimization and Variational Analysis (4 papers). Benjamin Halpern is often cited by papers focused on Mathematics and Applications (5 papers), Mathematical Dynamics and Fractals (5 papers) and Optimization and Variational Analysis (4 papers). Benjamin Halpern collaborates with scholars based in United States and Japan. Benjamin Halpern's co-authors include George M. Bergman and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

Benjamin Halpern

19 papers receiving 953 citations

Hit Papers

Fixed points of nonexpanding maps 1967 2026 1986 2006 1967 250 500 750
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.

  1. Fixed points of nonexpanding maps
    1967 770 citations Benjamin Halpern Bulletin of the American Mathematical Society profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Benjamin Halpern United States 12 877 771 640 174 142 21 1.1k
Ronald E. Bruck United States 18 1.6k 1.8× 1.1k 1.4× 864 1.4× 436 2.5× 442 3.1× 27 1.8k
Александр Давидович Иоффе Israel 14 560 0.6× 248 0.3× 244 0.4× 167 1.0× 248 1.7× 21 691
Athanassios G. Kartsatos United States 18 954 1.1× 431 0.6× 903 1.4× 280 1.6× 1.1k 7.4× 135 1.7k
Stephen Simons United States 17 734 0.8× 349 0.5× 295 0.5× 348 2.0× 356 2.5× 80 1.0k
Michel Théra France 20 1.1k 1.2× 519 0.7× 556 0.9× 234 1.3× 308 2.2× 91 1.3k
Yeol Je Cho South Korea 17 551 0.6× 491 0.6× 264 0.4× 64 0.4× 194 1.4× 68 880
D. R. Sahu India 17 974 1.1× 745 1.0× 679 1.1× 136 0.8× 119 0.8× 85 1.1k
Petr P. Zabrejko Germany 10 270 0.3× 238 0.3× 255 0.4× 284 1.6× 450 3.2× 41 889
Edgar Asplund United States 14 506 0.6× 248 0.3× 125 0.2× 327 1.9× 288 2.0× 22 769
Th. M. Rassias Greece 14 590 0.7× 417 0.5× 503 0.8× 306 1.8× 779 5.5× 38 1.4k

Countries citing papers authored by Benjamin Halpern

Since Specialization
Citations

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

Fields of papers citing papers by Benjamin Halpern

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Benjamin Halpern

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

All Works

20 of 20 papers shown
1.
Halpern, Benjamin. (1979). Periodic points on tori. Pacific Journal of Mathematics. 83(1). 117–133. 44 indexed citations
2.
Halpern, Benjamin. (1979). An inequality for double tangents. Proceedings of the American Mathematical Society. 76(1). 133–139. 4 indexed citations
3.
Halpern, Benjamin. (1979). Morse-Smale diffeomorphisms on tori. Topology. 18(2). 105–111. 2 indexed citations
4.
Halpern, Benjamin. (1978). A general coincidence theory. Pacific Journal of Mathematics. 77(2). 451–471. 22 indexed citations
5.
Halpern, Benjamin. (1977). Strange billiard tables. Transactions of the American Mathematical Society. 232(0). 297–305. 30 indexed citations
6.
Halpern, Benjamin, et al.. (1977). Inverting a cylinder through isometric immersions and isometric embeddings. Transactions of the American Mathematical Society. 230. 41–41. 15 indexed citations
7.
Halpern, Benjamin. (1976). Homeomorphisms with many recurrent points. Proceedings of the American Mathematical Society. 59(1). 159–160. 1 indexed citations
8.
Halpern, Benjamin. (1975). Double normals and tangent normals for polygons. Proceedings of the American Mathematical Society. 51(2). 434–437. 4 indexed citations
9.
Halpern, Benjamin. (1971). Almost fixed points for subsets of Zn. Journal of Combinatorial Theory Series A. 11(3). 251–257. 3 indexed citations
10.
Halpern, Benjamin. (1971). On the immersion of an 𝑛-dimensional manifold in 𝑛+1-dimensional Euclidean space. Proceedings of the American Mathematical Society. 30(1). 181–184. 6 indexed citations
11.
Halpern, Benjamin. (1970). Global theorems for closed plane curves. Bulletin of the American Mathematical Society. 76(1). 96–100. 23 indexed citations
12.
Halpern, Benjamin. (1970). A characterization of the circle and interval. Pacific Journal of Mathematics. 32(2). 373–414. 21 indexed citations
13.
Halpern, Benjamin. (1970). Fixed point theorems for set-valued maps in infinite dimensional spaces. Mathematische Annalen. 189(2). 87–98. 44 indexed citations
14.
Halpern, Benjamin. (1969). The Robot and the Rabbit—a Pursuit Problem. American Mathematical Monthly. 76(2). 140–145. 11 indexed citations
15.
Halpern, Benjamin. (1969). The kernel of a starshaped subset of the plane. Proceedings of the American Mathematical Society. 23(3). 692–692. 2 indexed citations
16.
Halpern, Benjamin & George M. Bergman. (1968). A Fixed-Point Theorem for Inward and Outward Maps. Transactions of the American Mathematical Society. 130(2). 353–353. 13 indexed citations
17.
Halpern, Benjamin. (1968). Fixed points for iterates. Pacific Journal of Mathematics. 25(2). 255–275. 14 indexed citations
18.
Halpern, Benjamin & George M. Bergman. (1968). A fixed-point theorem for inward and outward maps. Transactions of the American Mathematical Society. 130(2). 353–358. 83 indexed citations
19.
Halpern, Benjamin. (1968). Partitioning a Set into Mutually Homeomorphic Subsets. American Mathematical Monthly. 75(10). 1073–1077.
20.
Halpern, Benjamin. (1967). Fixed points of nonexpanding maps. Bulletin of the American Mathematical Society. 73(6). 957–961. 770 indexed citations breakdown →

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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