Paulo Sad

1.6k total citations
27 papers, 835 citations indexed

About

Paulo Sad is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Paulo Sad has authored 27 papers receiving a total of 835 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Geometry and Topology, 12 papers in Applied Mathematics and 11 papers in Mathematical Physics. Recurrent topics in Paulo Sad's work include Advanced Differential Equations and Dynamical Systems (14 papers), Mathematical Dynamics and Fractals (9 papers) and Algebraic Geometry and Number Theory (8 papers). Paulo Sad is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (14 papers), Mathematical Dynamics and Fractals (9 papers) and Algebraic Geometry and Number Theory (8 papers). Paulo Sad collaborates with scholars based in Brazil, France and Morocco. Paulo Sad's co-authors include César Camacho, Ricardo Mañé, Dennis Sullivan, Alcides Lins Neto, Dominique Cerveau, Felipe Cano, Michel Berthier, Jorge Vitório Pereira and Marco Brunella and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Paulo Sad

24 papers receiving 673 citations

Peers

Paulo Sad
Lawrence Conlon United States
César Camacho Brazil
Jeffrey Diller United States
I. N. Baker United Kingdom
Marco Brunella France
Franc Forstnerič Slovenia
Zbigniew Słodkowski United States
Walter Bergweiler Germany
Clifford J. Earle United States
Mario Bonk United States
Lawrence Conlon United States
Paulo Sad
Citations per year, relative to Paulo Sad Paulo Sad (= 1×) peers Lawrence Conlon

Countries citing papers authored by Paulo Sad

Since Specialization
Citations

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

Fields of papers citing papers by Paulo Sad

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paulo Sad

This figure shows the co-authorship network connecting the top 25 collaborators of Paulo Sad. A scholar is included among the top collaborators of Paulo Sad 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 Paulo Sad. Paulo Sad 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.
Sad, Paulo. (2022). Regular Foliations and Trace Divisors. Bulletin of the Brazilian Mathematical Society New Series. 53(3). 1033–1041.
2.
Sad, Paulo, et al.. (2011). Embedded curves and foliations. Publicacions Matemàtiques. 55. 401–411.
3.
Cerveau, Dominique & Paulo Sad. (2009). Fonctions et feuilletages Levi-flat. Étude locale. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 427–445. 4 indexed citations
4.
Sad, Paulo, et al.. (2007). Singularités nilpotentes et intégrales premières. Publicacions Matemàtiques. 51. 143–161. 5 indexed citations
5.
Pereira, Jorge Vitório & Paulo Sad. (2005). On the holonomy group of algebraic curves invariant by holomorphic foliations. Annali di Matematica Pura ed Applicata (1923 -). 185(2). 257–271. 3 indexed citations
6.
Sad, Paulo, et al.. (2002). On dicritical foliations and Halphen pencils. French digital mathematics library (Numdam). 1(1). 93–109. 2 indexed citations
7.
Berthier, Michel, et al.. (1999). On the classification of nilpotent singularities. Bulletin des Sciences Mathématiques. 123(5). 351–370. 11 indexed citations
8.
Sad, Paulo. (1999). Regular foliations along curves. Annales de la faculté des sciences de Toulouse Mathématiques. 8(4). 661–675. 6 indexed citations
9.
Cerveau, Dominique & Paulo Sad. (1998). Liouvillian integration and Bernoulli foliations. Transactions of the American Mathematical Society. 350(8). 3065–3081. 3 indexed citations
10.
Sad, Paulo. (1997). Linear holonomy groups of algebraic solutions of polynomial differential equations. Annales de l’institut Fourier. 47(1). 123–138. 2 indexed citations
11.
Brunella, Marco & Paulo Sad. (1995). Holomorphic foliations in certain holomorphically convex domains of $\bbfC \sp 2$. Bulletin de la Société mathématique de France. 123(4). 535–546. 3 indexed citations
12.
Camacho, César, Felipe Cano, & Paulo Sad. (1989). Absolutely isolated singularities of holomorphic vector fields. Inventiones mathematicae. 98(2). 351–369. 15 indexed citations
13.
Camacho, César, Alcides Lins Neto, & Paulo Sad. (1984). Topological invariants and equidesingularization for holomorphic vector fields. Journal of Differential Geometry. 20(1). 100 indexed citations
14.
Mañé, Ricardo, Paulo Sad, & Dennis Sullivan. (1983). On the dynamics of rational maps. Annales Scientifiques de l École Normale Supérieure. 16(2). 193–217. 367 indexed citations
15.
Camacho, César & Paulo Sad. (1982). Invariant Varieties Through Singularities of Holomorphic Vector Fields. Annals of Mathematics. 115(3). 579–579. 184 indexed citations
16.
Sad, Paulo, et al.. (1982). Topological classification and bifurcations of holomorphic flows with resonances in ?2. Inventiones mathematicae. 67(3). 447–472. 12 indexed citations
17.
Sad, Paulo. (1980). A Z × Z Structurally Stable Action. Transactions of the American Mathematical Society. 260(2). 515–515. 2 indexed citations
18.
Sad, Paulo. (1980). A 𝑍×𝑍 structurally stable action. Transactions of the American Mathematical Society. 260(2). 515–525. 2 indexed citations
19.
Sad, Paulo. (1980). A note on non-linearizable analitic functions. Bulletin of the Brazilian Mathematical Society New Series. 11(1). 31–36. 1 indexed citations
20.
Sad, Paulo. (1979). Centralizers of vector fields. Topology. 18(2). 97–104. 7 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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