Bertram Kostant

12.9k citations
75 papers · 4.7k · 2 hit papers · h-index 33

Impact in

Papers in

Bertram Kostant

71 papers receiving 3.8k citations

Bertram Kostant's Hit Papers

On Whittaker vectors and representation theory 1978 · 342 citations
3420+21+42Years since publication100200300400

Peers

Bertram Kostant
Comparison fields: 5 of 72
  • Algebra and Number Theory 2.1k
  • Geometry and Topology 3.3k
  • Mathematical Physics 3.2k
  • Discrete Mathematics and Combinatorics 840
  • Statistical and Nonlinear Physics 1.1k
Replace Daniel Quillen with:
Daniel Quillen United States
James E. Humphreys United States
Nolan R. Wallach United States
Harish-chandra Harish-Chandra United States
David Kazhdan United States
Graeme Segal United Kingdom
Alexander Varchenko United States
Raoul Bott United States
Michèle Vergne France
Masaki Kashiwara Japan
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Citations per field
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Citations per year

Countries citing papers authored by Bertram Kostant

Since Specialization
Citations

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

Fields of papers citing papers by Bertram Kostant

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Bertram Kostant, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Bertram Kostant Line = papers co-authored together Bertram Kostant links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 75 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Lie Group Representations on Polynomial Rings
Hit paper breakdown →
1963458
2 1979374
3 1961367
4 1959364
5
On Whittaker vectors and representation theory
Hit paper breakdown →
1978342
6 1971241
7 1978240
8 1973199
9 1969168
10 1986137
11 1987121
12 1971113
13 199994
14 196292
15 195990
16 199090
17 197578
18 196266
19 197049
20 197648

About Bertram Kostant

Bertram Kostant is a scholar working on Mathematical Physics, Algebra and Number Theory, Geometry and Topology, Discrete Mathematics and Combinatorics and Applied Mathematics, having authored 75 papers that have together received 4.7k indexed citations. Recurring topics across this work include Advanced Algebra and Geometry (43 papers), Advanced Topics in Algebra (37 papers), Algebraic structures and combinatorial models (25 papers), Finite Group Theory Research (15 papers), Homotopy and Cohomology in Algebraic Topology (9 papers), Nonlinear Waves and Solitons (5 papers), Geometric and Algebraic Topology (4 papers) and Advanced Differential Geometry Research (3 papers). The work is most often cited by research in Algebra and Number Theory (2.1k citations), Geometry and Topology (3.3k citations), Mathematical Physics (3.2k citations), Discrete Mathematics and Combinatorics (840 citations) and Statistical and Nonlinear Physics (1.1k citations). Bertram Kostant has collaborated with scholars based in United States, India and Netherlands. Frequent co-authors include Stephen Rallis, Shrawan Kumar, David Kazhdan, S. Sternberg, L. Auslander, Shlomo Sternberg, Ranee Brylinski, Alex Rosenberg, G. Hochschild and Siddhartha Sahi. Their work appears in journals such as Proceedings of the National Academy of Sciences, Transactions of the American Mathematical Society, Advances in Mathematics, Inventiones mathematicae and Selecta Mathematica.

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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