I. N. Bernshtein

1.6k total citations
18 papers, 924 citations indexed

About

I. N. Bernshtein is a scholar working on Mathematical Physics, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, I. N. Bernshtein has authored 18 papers receiving a total of 924 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Mathematical Physics, 8 papers in Geometry and Topology and 5 papers in Discrete Mathematics and Combinatorics. Recurrent topics in I. N. Bernshtein's work include Algebraic Geometry and Number Theory (4 papers), Advanced Algebra and Geometry (4 papers) and Homotopy and Cohomology in Algebraic Topology (4 papers). I. N. Bernshtein is often cited by papers focused on Algebraic Geometry and Number Theory (4 papers), Advanced Algebra and Geometry (4 papers) and Homotopy and Cohomology in Algebraic Topology (4 papers). I. N. Bernshtein collaborates with scholars based in . I. N. Bernshtein's co-authors include Sergei Gelfand, I. M. Gel'fand, A. V. Zelevinskii, Dimitry Leites, Bryn Rosenfeld and David Kazhdan and has published in prestigious journals such as Russian Mathematical Surveys, Functional Analysis and Its Applications and Journal of Experimental and Theoretical Physics.

In The Last Decade

I. N. Bernshtein

18 papers receiving 724 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
I. N. Bernshtein 13 667 580 419 171 153 18 924
S. J. Patterson Germany 17 654 1.0× 856 1.5× 354 0.8× 153 0.9× 163 1.1× 47 1.2k
Michael Schlessinger United States 9 737 1.1× 476 0.8× 361 0.9× 86 0.5× 38 0.2× 9 879
S. Ramanan India 17 981 1.5× 805 1.4× 149 0.4× 127 0.7× 102 0.7× 31 1.1k
Franklin P. Peterson United States 18 613 0.9× 667 1.1× 307 0.7× 81 0.5× 60 0.4× 62 986
P. E. Conner United States 18 901 1.4× 809 1.4× 310 0.7× 55 0.3× 135 0.9× 49 1.3k
Ichirō Satake Japan 15 1.1k 1.6× 1.0k 1.8× 340 0.8× 79 0.5× 194 1.3× 36 1.4k
Christian Okonek Germany 15 1.1k 1.7× 720 1.2× 235 0.6× 121 0.7× 96 0.6× 42 1.3k
Atle Selberg United States 5 360 0.5× 517 0.9× 395 0.9× 100 0.6× 122 0.8× 6 828
Michel Demazure France 13 838 1.3× 672 1.2× 295 0.7× 81 0.5× 311 2.0× 26 1.0k
Marvin Tretkoff United States 7 1.1k 1.6× 923 1.6× 605 1.4× 59 0.3× 257 1.7× 23 1.4k

Countries citing papers authored by I. N. Bernshtein

Since Specialization
Citations

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

Fields of papers citing papers by I. N. Bernshtein

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by I. N. Bernshtein. 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 I. N. Bernshtein. The network helps show where I. N. Bernshtein may publish in the future.

Co-authorship network of co-authors of I. N. Bernshtein

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

All Works

18 of 18 papers shown
1.
Bernshtein, I. N., et al.. (1980). Connection between the size of the Universe and its curvature. Journal of Experimental and Theoretical Physics. 52. 1617–1628. 1 indexed citations
2.
Bernshtein, I. N., et al.. (1978). Chevalley's theorem for complex crystallographic Coxeter groups. Functional Analysis and Its Applications. 12(4). 308–310. 32 indexed citations
3.
Bernshtein, I. N., I. M. Gel'fand, & Sergei Gelfand. (1978). Algebraic bundles over Pn and problems of linear algebra. Functional Analysis and Its Applications. 12(3). 212–214. 52 indexed citations
4.
Bernshtein, I. N., et al.. (1977). Integration of differential forms on supermanifolds. Functional Analysis and Its Applications. 11(3). 219–221. 11 indexed citations
5.
Bernshtein, I. N. & Dimitry Leites. (1977). Integral forms and the Stokes formula on supermanifolds. Functional Analysis and Its Applications. 11(1). 45–47. 37 indexed citations
6.
Bernshtein, I. N. & A. V. Zelevinskii. (1976). Induced representations of the group GL(n) over aP-adic field. Functional Analysis and Its Applications. 10(3). 225–227. 2 indexed citations
7.
Bernshtein, I. N., I. M. Gel'fand, & Sergei Gelfand. (1976). Category ofg modules. Functional Analysis and Its Applications. 10(2). 87–92. 81 indexed citations
8.
Bernshtein, I. N. & A. V. Zelevinskii. (1976). REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD. Russian Mathematical Surveys. 31(3). 1–68. 136 indexed citations
9.
Bernshtein, I. N., I. M. Gel'fand, & Sergei Gelfand. (1975). Models of representations of compact Lie groups. Functional Analysis and Its Applications. 9(4). 322–324. 29 indexed citations
10.
Bernshtein, I. N.. (1974). All reductive p-adic groups are tame. Functional Analysis and Its Applications. 8(2). 91–93. 32 indexed citations
11.
Bernshtein, I. N., et al.. (1973). HOMOGENEOUS SPACES OF INFINITE-DIMENSIONAL LIE ALGEBRAS AND CHARACTERISTIC CLASSES OF FOLIATIONS. Russian Mathematical Surveys. 28(4). 107–142. 46 indexed citations
12.
Bernshtein, I. N., I. M. Gel'fand, & Sergei Gelfand. (1973). Schubert cells and flag space cohomologies. Functional Analysis and Its Applications. 7(1). 53–55. 2 indexed citations
13.
Bernshtein, I. N.. (1972). The analytic continuation of generalized functions with respect to a parameter. Functional Analysis and Its Applications. 6(4). 273–285. 164 indexed citations
14.
Bernshtein, I. N. & Bryn Rosenfeld. (1972). Characteristic classes of foliations. Functional Analysis and Its Applications. 6(1). 60–61. 19 indexed citations
15.
Bernshtein, I. N., I. M. Gel'fand, & Sergei Gelfand. (1971). Structure of representations generated by vectors of highest weight. Functional Analysis and Its Applications. 5(1). 1–8. 171 indexed citations
16.
Bernshtein, I. N.. (1971). Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients. Functional Analysis and Its Applications. 5(2). 89–101. 58 indexed citations
17.
Bernshtein, I. N. & David Kazhdan. (1970). One-dimensional cohomologies of discrete subgroups. Functional Analysis and Its Applications. 4(1). 1–4. 10 indexed citations
18.
Bernshtein, I. N. & Sergei Gelfand. (1969). Meromorphic property of the functions pλ. Functional Analysis and Its Applications. 3(1). 68–69. 41 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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