A. Borel
Impact in
- Mathematical Physics top 2%
- Advanced Algebra and Geometry
- Homotopy and Cohomology in Algebraic Topology
- Geometry and Topology top 1%
- Algebraic Geometry and Number Theory
- Geometric and Algebraic Topology
- Algebraic structures and combinatorial models
- Geometry and complex manifolds
Papers in
-
- Algebraic Geometry and Number Theory 1
-
- Advanced Algebra and Geometry 1
- Co-authors
- Nolan R. Wallach (1 shared paper)S. Chowla (1 shared paper)Kenkichi Iwasawa (1 shared paper)
- Journals
- Lecture notes in mathematics (1 paper)Mathematical surveys and monographs (1 paper)Annales Academiae Scientiarum Fennicae Series A I Mathematica (1 paper)French digital mathematics library (Numdam) (1 paper)
- Partner nations
- United States
In The Last Decade
A. Borel
4 papers receiving 505 citations
A. Borel's Hit Papers
Peers
Comparison fields: 5 of 25
- Mathematical Physics 547
- Geometry and Topology 510
- Discrete Mathematics and Combinatorics 121
- Algebra and Number Theory 156
- Theoretical Computer Science 9
Countries citing papers authored by A. Borel
This map shows the geographic impact of A. 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 A. Borel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. Borel more than expected).
Fields of papers citing papers by A. Borel
This network shows the impact of papers produced by A. 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 A. Borel. The network helps show where A. Borel may publish in the future.
Co-authors
The 3 scholars most cited alongside A. 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 | Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups Hit paper breakdown → | 2000 | 435 |
| 2 | Commensurability classes and volumes of hyperbolic 3-manifolds | 1981 | 115 |
| 3 | 1966 | 45 | |
| 4 | 1985 | 21 |
About A. Borel
A. Borel is a scholar working on Geometry and Topology, Mathematical Physics, Organic Chemistry, Astronomy and Astrophysics and Computational Mathematics, having authored 4 papers that have together received 616 indexed citations. Recurring topics across this work include Axial and Atropisomeric Chirality Synthesis (1 paper), Algebraic Geometry and Number Theory (1 paper), Advanced Algebra and Geometry (1 paper), Geometric Analysis and Curvature Flows (1 paper), Quantum Computing Algorithms and Architecture (1 paper), Tensor decomposition and applications (1 paper), Coding theory and cryptography (1 paper) and Advanced Differential Geometry Research (1 paper). The work is most often cited by research in Mathematical Physics (547 citations), Geometry and Topology (510 citations), Discrete Mathematics and Combinatorics (121 citations), Algebra and Number Theory (156 citations) and Theoretical Computer Science (9 citations). A. Borel has collaborated with scholars based in United States. Frequent co-authors include Nolan R. Wallach, S. Chowla and Kenkichi Iwasawa. Their work appears in journals such as Lecture notes in mathematics, Mathematical surveys and monographs, Annales Academiae Scientiarum Fennicae Series A I Mathematica and French digital mathematics library (Numdam).
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.