Armand Borel
Impact in
- Geometry and Topology top 0.01%
- Algebraic Geometry and Number Theory
- Algebraic structures and combinatorial models
- Geometric and Algebraic Topology
- Geometry and complex manifolds
- Mathematical Physics top 0.01%
- Advanced Algebra and Geometry
- Homotopy and Cohomology in Algebraic Topology
Papers in
-
- Advanced Topics in Algebra 23
-
- Advanced Algebra and Geometry 39
- Homotopy and Cohomology in Algebraic Topology 25
- Co-authors
- Jacques TitsJean-Pierre SerreHarish-chandra Harish-ChandraWalter L. BailyW. CasselmanT. A. SpringerG. D. MostowNagayoshi Iwahori
- Journals
- Bulletin of the American Mathematical Society (9 papers)Annals of Mathematics (8 papers)Publications mathématiques de l IHÉS (5 papers)Commentarii Mathematici Helvetici (5 papers)Inventiones mathematicae (4 papers)
- Partner nations
- United StatesGermanyFrance
In The Last Decade
Armand Borel
94 papers receiving 6.5k citations
Hit Papers
Peers
Comparison fields: 5 of 98
- Geometry and Topology 6.3k
- Mathematical Physics 6.2k
- Discrete Mathematics and Combinatorics 2.0k
- Algebra and Number Theory 2.4k
- Applied Mathematics 1.0k
Countries citing papers authored by Armand Borel
This map shows the geographic impact of Armand Borel'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 Armand Borel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Armand Borel more than expected).
Fields of papers citing papers by Armand Borel
This network shows the impact of papers produced by Armand Borel. 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 Armand Borel. The network helps show where Armand Borel may publish in the future.
Co-authors
The 25 scholars most cited alongside Armand Borel, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2019 | 12 | |
| 2 | Oeuvres : collected papers | 2013 | 1 |
| 3 | Algebraic D-modules | 1987 | 172 |
| 4 | Œuvres = Collected papers | 1983 | 5 |
| 5 | 1979 | 5 | |
| 6 | Cohomologie de $SL_n$ et valeurs de fonctions zêta aux points entiers | 1977 | 45 |
| 7 | 1976 | 65 | |
| 8 | Cohomologie de certains groupes discrets et laplacien $p$-adique | 1974 | 3 |
| 9 | Corners and arithmetic groups Hit paper breakdown → | 1973 | 349 |
| 10 | Introduction aux groupes arithmétiques | 1969 | 224 |
| 11 | Opérateurs de Hecke et fonctions zêta | 1966 | 1 |
| 12 | 1966 | 118 | |
| 13 | Cohomologie des espaces localement compacts d'après J. Leray | 1964 | 4 |
| 14 | Cohomologie et rigidité d'espaces compacts localement symétriques | 1964 | 0 |
| 15 | 1963 | 248 | |
| 16 | 1955 | 92 | |
| 17 | Les espaces hermitiens symétriques | 1954 | 4 |
| 18 | 1953 | 6 | |
| 19 | Groupes localement compacts | 1951 | 2 |
| 20 | Sous-groupes compacts maximaux des groupes de Lie | 1951 | 3 |
About Armand Borel
Armand Borel is a scholar working on Algebra and Number Theory, Mathematical Physics, Theoretical Computer Science, Geometry and Topology and Discrete Mathematics and Combinatorics, having authored 101 papers that have together received 8.6k indexed citations. Recurring topics across this work include Advanced Algebra and Geometry (39 papers), Homotopy and Cohomology in Algebraic Topology (25 papers), Advanced Topics in Algebra (23 papers), Algebraic Geometry and Number Theory (19 papers), Finite Group Theory Research (17 papers), Geometric and Algebraic Topology (9 papers), Advanced Topology and Set Theory (8 papers) and History and Theory of Mathematics (7 papers). The work is most often cited by research in Geometry and Topology (6.3k citations), Mathematical Physics (6.2k citations), Discrete Mathematics and Combinatorics (2.0k citations), Algebra and Number Theory (2.4k citations) and Applied Mathematics (1.0k citations). Armand Borel has collaborated with scholars based in United States, Germany and France. Frequent co-authors include Jacques Tits, Jean-Pierre Serre, Harish-chandra Harish-Chandra, Walter L. Baily, W. Casselman, T. A. Springer, G. D. Mostow, Nagayoshi Iwahori, Richard H. Steinberg and C. W. Curtis. Their work appears in journals such as Bulletin of the American Mathematical Society, Annals of Mathematics, Publications mathématiques de l IHÉS, Commentarii Mathematici Helvetici and Inventiones mathematicae.
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.