Alain Connes
Impact in
- Algebra and Number Theory top 0.01%
- Advanced Topics in Algebra
- Mathematical Physics top 0.01%
- Advanced Operator Algebra Research
- Homotopy and Cohomology in Algebraic Topology
- Advanced Algebra and Geometry
Papers in
-
- Advanced Operator Algebra Research 96
- Advanced Algebra and Geometry 32
- Homotopy and Cohomology in Algebraic Topology 23
-
- Advanced Topics in Algebra 87
- Co-authors
- Albert Schwarz (3 shared papers)Michael R. Douglas (2 shared papers)Henri Moscovici (15 shared papers)Ali H. Chamseddine (17 shared papers)Dirk Kreimer (7 shared papers)Marc A. Rieffel (5 shared papers)Joachim Cuntz (7 shared papers)Matilde Marcolli (16 shared papers)
- Journals
- Communications in Mathematical Physics (15 papers)Letters in Mathematical Physics (9 papers)Lecture notes in mathematics (7 papers)Journal of Geometry and Physics (7 papers)Journal of Functional Analysis (6 papers)
- Partner nations
- FranceUnited StatesGermany
In The Last Decade
Alain Connes
190 papers receiving 12.9k citations
Alain Connes's Hit Papers
Peers
Comparison fields: 5 of 107
- Algebra and Number Theory 5.8k
- Mathematical Physics 9.1k
- Geometry and Topology 4.9k
- Statistical and Nonlinear Physics 6.2k
- Nuclear and High Energy Physics 4.0k
Countries citing papers authored by Alain Connes
This map shows the geographic impact of Alain Connes'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 Alain Connes with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alain Connes more than expected).
Fields of papers citing papers by Alain Connes
This network shows the impact of papers produced by Alain Connes. 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 Alain Connes. The network helps show where Alain Connes may publish in the future.
Co-authors
The 25 scholars most cited alongside Alain Connes, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 202 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Noncommutative Geometry Hit paper breakdown → | 2010 | 923 |
| 2 | Noncommutative geometry and Matrix theory Hit paper breakdown → | 1998 | 857 |
| 3 | Noncommutative Geometry and Matrix Theory: Compactification on Tori Hit paper breakdown → | 1997 | 834 |
| 4 | Non-commutative differential geometry Hit paper breakdown → | 1985 | 834 |
| 5 | Classification of Injective Factors Cases II 1 , II ∞ , III λ , λ � 1 Hit paper breakdown → | 1976 | 517 |
| 6 | Non-Commutative Geometry Hit paper breakdown → | 1988 | 442 |
| 7 | 1996 | 414 | |
| 8 | Hopf Algebras, Renormalization and Noncommutative Geometry Hit paper breakdown → | 1998 | 381 |
| 9 | Une classification des facteurs de type ${\rm III}$ Hit paper breakdown → | 1973 | 363 |
| 10 | 1997 | 347 | |
| 11 | 1991 | 306 | |
| 12 | 1995 | 285 | |
| 13 | 1981 | 268 | |
| 14 | 1990 | 217 | |
| 15 | 2007 | 217 | |
| 16 | 2007 | 216 | |
| 17 | 1995 | 216 | |
| 18 | 1987 | 194 | |
| 19 | Classifying Space for Proper Actions and K-Theory of Group C*-algebras | 2004 | 187 |
| 20 | 1995 | 187 |
About Alain Connes
Alain Connes is a scholar working on Mathematical Physics, Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics and Nuclear and High Energy Physics, having authored 202 papers that have together received 14.5k indexed citations. Recurring topics across this work include Advanced Operator Algebra Research (96 papers), Advanced Topics in Algebra (87 papers), Noncommutative and Quantum Gravity Theories (50 papers), Algebraic structures and combinatorial models (42 papers), Advanced Algebra and Geometry (32 papers), Homotopy and Cohomology in Algebraic Topology (23 papers), Black Holes and Theoretical Physics (21 papers) and Algebraic Geometry and Number Theory (12 papers). The work is most often cited by research in Algebra and Number Theory (5.8k citations), Mathematical Physics (9.1k citations), Geometry and Topology (4.9k citations), Statistical and Nonlinear Physics (6.2k citations) and Nuclear and High Energy Physics (4.0k citations). Alain Connes has collaborated with scholars based in France, United States and Germany. Frequent co-authors include Albert Schwarz, Michael R. Douglas, Henri Moscovici, Ali H. Chamseddine, Dirk Kreimer, Marc A. Rieffel, Joachim Cuntz, Matilde Marcolli, John Lott and Paul Baum. Their work appears in journals such as Communications in Mathematical Physics, Letters in Mathematical Physics, Lecture notes in mathematics, Journal of Geometry and Physics and Journal of Functional Analysis.
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.