Irwin Kra

3.2k total citations · 1 hit paper
62 papers, 1.7k citations indexed

About

Irwin Kra is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Irwin Kra has authored 62 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Geometry and Topology, 26 papers in Applied Mathematics and 21 papers in Mathematical Physics. Recurrent topics in Irwin Kra's work include Geometric and Algebraic Topology (18 papers), Advanced Algebra and Geometry (13 papers) and Analytic and geometric function theory (13 papers). Irwin Kra is often cited by papers focused on Geometric and Algebraic Topology (18 papers), Advanced Algebra and Geometry (13 papers) and Analytic and geometric function theory (13 papers). Irwin Kra collaborates with scholars based in United States, Israel and Chile. Irwin Kra's co-authors include Hershel M. Farkas, Samuel L. Krushkal, Clifford J. Earle, Santiago R. Simanca, Bernard Maskit, Lipman Bers, А. В. Погорелов, F. W. Gehring, David Drasin and Albert Marden and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Irwin Kra

59 papers receiving 1.4k citations

Hit Papers

Riemann Surfaces 1980 2026 1995 2010 1980 50 100 150 200 250
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. Riemann Surfaces
    1980 287 citations Hershel M. Farkas, Irwin Kra profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Irwin Kra United States 20 1.1k 660 658 227 203 62 1.7k
Scott A. Wolpert United States 23 1.1k 0.9× 759 1.1× 600 0.9× 249 1.1× 129 0.6× 46 1.7k
Hershel M. Farkas Israel 11 611 0.5× 384 0.6× 317 0.5× 178 0.8× 224 1.1× 38 1.0k
P. A. Griffiths United States 8 1.4k 1.2× 698 1.1× 391 0.6× 308 1.4× 357 1.8× 10 1.8k
Roe Goodman United States 17 634 0.6× 769 1.2× 329 0.5× 203 0.9× 391 1.9× 37 1.4k
М. И. Граев Russia 15 362 0.3× 757 1.1× 424 0.6× 164 0.7× 241 1.2× 73 1.2k
Audrey Terras United States 15 526 0.5× 461 0.7× 215 0.3× 166 0.7× 282 1.4× 48 1.3k
Pierre Schapira France 18 1.2k 1.1× 1.1k 1.7× 356 0.5× 192 0.8× 476 2.3× 73 1.7k
Dale Husemöller United States 9 750 0.7× 674 1.0× 187 0.3× 96 0.4× 325 1.6× 19 1.2k
Theodor Bröcker Germany 6 480 0.4× 455 0.7× 262 0.4× 205 0.9× 160 0.8× 10 1.1k
M. S. Narasimhan India 19 1.6k 1.4× 1.4k 2.1× 289 0.4× 253 1.1× 201 1.0× 56 2.0k

Countries citing papers authored by Irwin Kra

Since Specialization
Citations

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

Fields of papers citing papers by Irwin Kra

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Irwin Kra

This figure shows the co-authorship network connecting the top 25 collaborators of Irwin Kra. A scholar is included among the top collaborators of Irwin Kra 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 Irwin Kra. Irwin Kra 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.
Keen, Linda, et al.. (2015). Lipman Bers, a Life in Mathematics. American Mathematical Society eBooks.
2.
Farkas, Hershel M. & Irwin Kra. (2001). Theta Constants, Riemann Surfaces and the Modular Group. Graduate studies in mathematics. 71 indexed citations
3.
Kra, Irwin, et al.. (2000). In the Tradition of Ahlfors and Bers. Contemporary mathematics - American Mathematical Society. 4 indexed citations
4.
Morawetz, Cathleen S., et al.. (1995). Remembering Lipman Bers. Notices of the American Mathematical Society. 42(1). 8–25. 2 indexed citations
5.
Earle, Clifford J., Irwin Kra, & Samuel L. Krushkal. (1994). Holomorphic motions and Teichmüller spaces. Transactions of the American Mathematical Society. 343(2). 927–948. 65 indexed citations
6.
Farkas, Hershel M. & Irwin Kra. (1993). Automorphic forms for subgroups of the modular group. Israel Journal of Mathematics. 82(1-3). 87–131. 9 indexed citations
7.
Kra, Irwin. (1991). Cusp forms associated to rank $2$ parabolic subgroups of Kleinian groups. Proceedings of the American Mathematical Society. 111(3). 803–803. 1 indexed citations
8.
Kra, Irwin. (1989). Accessory parameters for punctured spheres. Transactions of the American Mathematical Society. 313(2). 589–617. 11 indexed citations
9.
Kra, Irwin. (1989). Accessory Parameters for Punctured Spheres. Transactions of the American Mathematical Society. 313(2). 589–589. 3 indexed citations
10.
Kra, Irwin. (1983). On cohomology of Kleinian groups. IV. The Ahlfors-Sullivan construction of holomorphic Eichler integrals. Journal d Analyse Mathématique. 43(1). 51–87. 7 indexed citations
11.
Kra, Irwin & Bernard Maskit. (1982). Bases for quadratic differentials. Commentarii Mathematici Helvetici. 57(1). 603–626. 17 indexed citations
12.
Kra, Irwin, et al.. (1981). Riemann surfaces and related topics : proceedings of the 1978 Stony Brook conference. 39 indexed citations
13.
Kra, Irwin. (1981). The Carathéodory metric on abelian Teichmüller disks. Journal d Analyse Mathématique. 40(1). 129–143. 19 indexed citations
14.
Kra, Irwin. (1981). Canonical mappings between Teichmüller spaces. Bulletin of the American Mathematical Society. 4(2). 143–179. 19 indexed citations
15.
Погорелов, А. В., et al.. (1979). Hilbert's Fourth Problem. Medical Entomology and Zoology. 35 indexed citations
16.
Krushkal, Samuel L. & Irwin Kra. (1979). Quasiconformal mappings and Riemann surfaces. Medical Entomology and Zoology. 85 indexed citations
17.
Kra, Irwin. (1973). Varieties of Kleinian Groups. Rice University's digital scholarship archive (Rice University). 59(2). 1 indexed citations
18.
Kra, Irwin. (1969). Deformations of Fuchsian groups. Duke Mathematical Journal. 36(3). 38 indexed citations
19.
Kra, Irwin. (1969). On Cohomology of Kleinian Groups. Annals of Mathematics. 89(3). 533–533. 20 indexed citations
20.
Kra, Irwin. (1969). On Cohomology of Kleinian Groups: II. Annals of Mathematics. 90(3). 576–576. 9 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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