Caterina Consani

903 total citations
28 papers, 268 citations indexed

About

Caterina Consani is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Caterina Consani has authored 28 papers receiving a total of 268 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Mathematical Physics, 20 papers in Geometry and Topology and 10 papers in Algebra and Number Theory. Recurrent topics in Caterina Consani's work include Advanced Algebra and Geometry (14 papers), Algebraic Geometry and Number Theory (11 papers) and Advanced Topics in Algebra (9 papers). Caterina Consani is often cited by papers focused on Advanced Algebra and Geometry (14 papers), Algebraic Geometry and Number Theory (11 papers) and Advanced Topics in Algebra (9 papers). Caterina Consani collaborates with scholars based in United States, France and Germany. Caterina Consani's co-authors include Alain Connes, Matilde Marcolli, Ali H. Chamseddine, Guoliang Yu, Masoud Khalkhali, Henri Moscovici, Nigel Higson, Carel Faber and Minhyong Kim and has published in prestigious journals such as Advances in Mathematics, International Mathematics Research Notices and Compositio Mathematica.

In The Last Decade

Caterina Consani

23 papers receiving 256 citations

Peers

Caterina Consani
Leonid Vaînerman France
Michael Skeide Italy
S. C. Coutinho Brazil
Svetlana Katok United States
Roger Plymen United Kingdom
Tyler J. Jarvis United States
Joachim Kock Spain
Helge Glöckner Germany
Richard Kane Canada
Daniel C. Isaksen United States
Leonid Vaînerman France
Caterina Consani
Citations per year, relative to Caterina Consani Caterina Consani (= 1×) peers Leonid Vaînerman

Countries citing papers authored by Caterina Consani

Since Specialization
Citations

This map shows the geographic impact of Caterina Consani'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 Caterina Consani with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Caterina Consani more than expected).

Fields of papers citing papers by Caterina Consani

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Caterina Consani. 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 Caterina Consani. The network helps show where Caterina Consani may publish in the future.

Co-authorship network of co-authors of Caterina Consani

This figure shows the co-authorship network connecting the top 25 collaborators of Caterina Consani. A scholar is included among the top collaborators of Caterina Consani based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Caterina Consani. Caterina Consani is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Connes, Alain, Caterina Consani, & Henri Moscovici. (2024). Zeta zeros and prolate wave operators. Annals of Functional Analysis. 15(4).
2.
Connes, Alain & Caterina Consani. (2024). Riemann–Roch for the ring ℤ . Comptes Rendus Mathématique. 362(G3). 229–235.
3.
Connes, Alain & Caterina Consani. (2023). Riemann-Roch for SpecZ‾. Bulletin des Sciences Mathématiques. 187. 103293–103293.
4.
Connes, Alain & Caterina Consani. (2023). Spectral triples and $\zeta$-cycles. 69(1). 93–148. 2 indexed citations
5.
Chamseddine, Ali H., Caterina Consani, Nigel Higson, et al.. (2019). Advances in Noncommutative Geometry. CERN Document Server (European Organization for Nuclear Research). 12 indexed citations
6.
Connes, Alain & Caterina Consani. (2017). Homological algebra in characteristic one. arXiv (Cornell University). 3(1). 1 indexed citations
7.
Connes, Alain & Caterina Consani. (2015). The cyclic and epicyclic sites. Rendiconti del Seminario Matematico della Università di Padova. 134. 197–237.
8.
Connes, Alain & Caterina Consani. (2015). Absolute algebra and Segal's Γ-rings. Journal of Number Theory. 162. 518–551. 5 indexed citations
9.
Connes, Alain & Caterina Consani. (2015). Projective geometry in characteristic one and the epicyclic category. Nagoya Mathematical Journal. 217. 95–132. 3 indexed citations
10.
Connes, Alain & Caterina Consani. (2015). The scaling site. Comptes Rendus Mathématique. 354(1). 1–6. 1 indexed citations
11.
Connes, Alain & Caterina Consani. (2014). Cyclic homology, Serre's local factors and λ-operations. Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology. 14(1). 1–45. 2 indexed citations
12.
Consani, Caterina & Alain Connes. (2011). Noncommutative geometry, arithmetic, and related topics : proceedings of the Twenty-first Meeting of the Japan-U.S. Mathematics Institute. Johns Hopkins University Press eBooks. 2 indexed citations
13.
Connes, Alain & Caterina Consani. (2010). The hyperring of adèle classes. Journal of Number Theory. 131(2). 159–194. 44 indexed citations
14.
Connes, Alain & Caterina Consani. (2010). On the notion of geometry over 𝔽₁. Journal of Algebraic Geometry. 20(3). 525–557. 24 indexed citations
15.
Connes, Alain, Caterina Consani, & Matilde Marcolli. (2008). Fun with F1. Journal of Number Theory. 129(6). 1532–1561. 20 indexed citations
16.
Connes, Alain, Caterina Consani, & Matilde Marcolli. (2007). Noncommutative geometry and motives: The thermodynamics of endomotives. Advances in Mathematics. 214(2). 761–831. 21 indexed citations
17.
Consani, Caterina. (2006). Noncommutative Geometry and Number Theory. CERN Document Server (European Organization for Nuclear Research). 27 indexed citations
18.
Consani, Caterina & Minhyong Kim. (2002). The Picard-Lefschetz formula and a conjecture of Kato: The case of Lefschetz fibrations. Mathematical Research Letters. 9(5). 621–631. 1 indexed citations
19.
Consani, Caterina. (1999). The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch). Documenta Mathematica. 4. 65–108. 3 indexed citations
20.
Consani, Caterina. (1998). Double Complexes and Euler L-Factors. Compositio Mathematica. 111(3). 323–358. 12 indexed citations

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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