Alain Connes

26.6k citations
161 papers · 11.2k · 6 hit papers · h-index 49

Impact in

Papers in

Alain Connes

148 papers receiving 10.0k citations

Alain Connes's Hit Papers

Noncommutative Geometry 2010 · 810 citations
8100+16+33Years since publication250500750

Peers

Alain Connes
Comparison fields: 5 of 101
  • Algebra and Number Theory 4.4k
  • Mathematical Physics 7.0k
  • Geometry and Topology 3.7k
  • Statistical and Nonlinear Physics 4.9k
  • Nuclear and High Energy Physics 3.4k
Replace I. M. Singer with:
I. M. Singer United States
Victor G. Kač United States
Michio Jimbo Japan
A. B. Zamolodchikov Russia
A. A. Belavin Russia
Tetsuji Miwa Japan
Cumrun Vafa United States
А. Морозов Russia
Marc A. Rieffel United States
Nicolai Reshetikhin United States
Alain Connes relative to I. M. Singer United States I. M. Singer's profile →
Citations per field
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I. M. Singer · 1×
Citations per year

Countries citing papers authored by Alain Connes

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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.

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

All Works

20 of 20 papers shown

Showing the 20 most-cited of 161 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Noncommutative Geometry
Hit paper breakdown →
2010810
2
Noncommutative geometry and Matrix theory
Hit paper breakdown →
1998803
3
Noncommutative Geometry and Matrix Theory: Compactification on Tori
Hit paper breakdown →
1997780
4
Non-commutative differential geometry
Hit paper breakdown →
1985725
5
Classification of Injective Factors Cases II 1 , II ∞ , III λ , λ � 1
Hit paper breakdown →
1976472
6 1996366
7
Hopf Algebras, Renormalization and Noncommutative Geometry
Hit paper breakdown →
1998335
8 1973319
9 1997304
10 1991279
11 1995241
12 1981234
13 2007188
14 1990185
15 2007184
16 1975172
17 1987168
18 1995167
19 1988165
20
Classifying Space for Proper Actions and K-Theory of Group C*-algebras
2004164

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 161 papers that have together received 11.2k indexed citations. Recurring topics across this work include Advanced Operator Algebra Research (73 papers), Advanced Topics in Algebra (61 papers), Noncommutative and Quantum Gravity Theories (37 papers), Algebraic structures and combinatorial models (34 papers), Advanced Algebra and Geometry (25 papers), Homotopy and Cohomology in Algebraic Topology (21 papers), Black Holes and Theoretical Physics (17 papers) and Algebraic Geometry and Number Theory (9 papers). The work is most often cited by research in Algebra and Number Theory (4.4k citations), Mathematical Physics (7.0k citations), Geometry and Topology (3.7k citations), Statistical and Nonlinear Physics (4.9k citations) and Nuclear and High Energy Physics (3.4k citations). Alain Connes has collaborated with scholars based in France, United States and Germany. Frequent co-authors include Albert Schwarz, Michael R. Douglas, Ali H. Chamseddine, Henri Moscovici, Marc A. Rieffel, Joachim Cuntz, Dirk Kreimer, Matilde Marcolli, John Lott and Bernard Weiss. Their work appears in journals such as Communications in Mathematical Physics, Letters in Mathematical Physics, Journal of Geometry and Physics, Journal of Functional Analysis and Journal of High Energy Physics.

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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