Bertram Kostant

12.9k citations
124 papers · 7.4k · 3 hit papers · h-index 39

Impact in

Papers in

Bertram Kostant

117 papers receiving 6.1k citations

Bertram Kostant's Hit Papers

On Whittaker vectors and representation theory 1978 · 378 citations
3780+21+42Years since publication200400600

Peers

Bertram Kostant
Comparison fields: 5 of 82
  • Algebra and Number Theory 3.1k
  • Geometry and Topology 5.0k
  • Mathematical Physics 5.0k
  • Discrete Mathematics and Combinatorics 1.2k
  • Statistical and Nonlinear Physics 1.8k
Replace Masaki Kashiwara with:
Masaki Kashiwara Japan
Don Bernard Zagier Germany
Vladimir Drinfeld United States
Nolan R. Wallach United States
Harish-chandra Harish-Chandra United States
Maxim L'vovich Kontsevich France
Michèle Vergne France
Tetsuji Miwa Japan
Andreĭ Okounkov United States
A. B. Goncharov United States
Bertram Kostant relative to Masaki Kashiwara Japan Masaki Kashiwara's profile →
Citations per field
00.5×1.5×
Masaki Kashiwara · 1×
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 124 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Quantization and unitary representations
Hit paper breakdown →
1970664
2
Lie Group Representations on Polynomial Rings
Hit paper breakdown →
1963563
3 1961426
4 1959420
5 1979419
6
On Whittaker vectors and representation theory
Hit paper breakdown →
1978378
7 1977329
8 1971291
9 1978283
10 1973230
11 1969206
12 2009168
13 1986151
14 2009146
15 1971143
16 1987143
17 1962118
18 1959107
19 1999102
20 1980101

About Bertram Kostant

Bertram Kostant is a scholar working on Algebra and Number Theory, Mathematical Physics, Geometry and Topology, Discrete Mathematics and Combinatorics and Applied Mathematics, having authored 124 papers that have together received 7.4k indexed citations. Recurring topics across this work include Advanced Algebra and Geometry (67 papers), Advanced Topics in Algebra (59 papers), Algebraic structures and combinatorial models (32 papers), Finite Group Theory Research (18 papers), Homotopy and Cohomology in Algebraic Topology (17 papers), Geometric Analysis and Curvature Flows (9 papers), Geometric and Algebraic Topology (8 papers) and Nonlinear Waves and Solitons (7 papers). The work is most often cited by research in Algebra and Number Theory (3.1k citations), Geometry and Topology (5.0k citations), Mathematical Physics (5.0k citations), Discrete Mathematics and Combinatorics (1.2k citations) and Statistical and Nonlinear Physics (1.8k citations). Bertram Kostant has collaborated with scholars based in United States, India and France. Frequent co-authors include Stephen Rallis, Shrawan Kumar, David Kazhdan, S. Sternberg, Lisa Auslander, Ranee Kathryn Brylinski, Shlomo Sternberg, Alex Rosenberg, Gerhard P. Hochschild and Siddhartha Sahi. Their work appears in journals such as Proceedings of the National Academy of Sciences, Progress in mathematics, Transactions of the American Mathematical Society, Bulletin of the American Mathematical Society and Advances in Mathematics.

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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