Pierre Dèbes

534 total citations
39 papers, 199 citations indexed

About

Pierre Dèbes is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Pierre Dèbes has authored 39 papers receiving a total of 199 indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Geometry and Topology, 16 papers in Mathematical Physics and 13 papers in Algebra and Number Theory. Recurrent topics in Pierre Dèbes's work include Algebraic Geometry and Number Theory (28 papers), Advanced Algebra and Geometry (10 papers) and Polynomial and algebraic computation (8 papers). Pierre Dèbes is often cited by papers focused on Algebraic Geometry and Number Theory (28 papers), Advanced Algebra and Geometry (10 papers) and Polynomial and algebraic computation (8 papers). Pierre Dèbes collaborates with scholars based in France, Germany and Italy. Pierre Dèbes's co-authors include Michael D. Fried, Umberto Zannier, Daniel Bertrand, Arnaud Bodin, David Harbater, Dan Haran, Laurent Moret-Bailly, François Legrand, Hiroaki Nakamura and Viorel Barbu and has published in prestigious journals such as Transactions of the American Mathematical Society, Pacific Journal of Mathematics and American Journal of Mathematics.

In The Last Decade

Pierre Dèbes

32 papers receiving 172 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Pierre Dèbes France 9 180 97 58 56 31 39 199
Yuichiro Taguchi Japan 10 170 0.9× 103 1.1× 42 0.7× 95 1.7× 17 0.5× 28 206
Yu. G. Zarhin United States 8 217 1.2× 144 1.5× 62 1.1× 47 0.8× 20 0.6× 25 226
Rafe Jones United States 9 148 0.8× 105 1.1× 37 0.6× 70 1.3× 17 0.5× 18 187
Roberto Dvornicich Italy 8 159 0.9× 85 0.9× 36 0.6× 78 1.4× 49 1.6× 37 199
Farshid Hajir United States 11 187 1.0× 88 0.9× 43 0.7× 119 2.1× 37 1.2× 31 249
Sinnou David France 9 188 1.0× 77 0.8× 73 1.3× 95 1.7× 32 1.0× 21 214
Florian Pop United States 10 315 1.8× 175 1.8× 87 1.5× 104 1.9× 50 1.6× 33 344
Gaël Rémond France 9 180 1.0× 70 0.7× 70 1.2× 85 1.5× 36 1.2× 37 198
Karim Belabas France 10 151 0.8× 78 0.8× 49 0.8× 97 1.7× 37 1.2× 22 206
Kurt Girstmair Austria 9 140 0.8× 69 0.7× 50 0.9× 132 2.4× 45 1.5× 58 221

Countries citing papers authored by Pierre Dèbes

Since Specialization
Citations

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

Fields of papers citing papers by Pierre Dèbes

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Pierre Dèbes

This figure shows the co-authorship network connecting the top 25 collaborators of Pierre Dèbes. A scholar is included among the top collaborators of Pierre Dèbes 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 Pierre Dèbes. Pierre Dèbes 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.
Bodin, Arnaud & Pierre Dèbes. (2023). Coprime values of polynomials in several variables. Israel Journal of Mathematics. 257(1). 26–55.
2.
Bodin, Arnaud, et al.. (2022). The Hilbert–Schinzel specialization property. Journal für die reine und angewandte Mathematik (Crelles Journal). 2022(785). 55–79. 1 indexed citations
3.
Dèbes, Pierre, et al.. (2021). On parametric and generic polynomials with one parameter. arXiv (Cornell University).
4.
Dèbes, Pierre, et al.. (2019). Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups. Oberwolfach Reports. 15(2). 1021–1080.
5.
Dèbes, Pierre & François Legrand. (2013). Specialization results in Galois theory. Transactions of the American Mathematical Society. 365(10). 5259–5275.
6.
Dèbes, Pierre, et al.. (2012). Galois Covers and the Hilbert-Grunwald Property. Annales de l’institut Fourier. 62(3). 989–1013. 5 indexed citations
7.
Dèbes, Pierre, et al.. (2011). Specializations of Galois covers of the line. AIP conference proceedings. 1 indexed citations
8.
Bodin, Arnaud, et al.. (2009). Irreducibility of Hypersurfaces. Communications in Algebra. 37(6). 1884–1900. 5 indexed citations
9.
Dèbes, Pierre, et al.. (2008). Bounds for Hilbert's Irreducibility Theorem. Pure and Applied Mathematics Quarterly. 4(4). 1059–1083. 6 indexed citations
10.
Bertrand, Daniel & Pierre Dèbes. (2006). Groupes de galois arithmétiques et différentiels. 4 indexed citations
11.
Dèbes, Pierre, et al.. (2004). Corps [psi]-libres et théorie inverse de Galois infinie. Journal für die reine und angewandte Mathematik (Crelles Journal). 2004(574). 2 indexed citations
12.
Dèbes, Pierre, et al.. (2000). Familles de Hurwitz et cohomologie non abélienne. Annales de l’institut Fourier. 50(1). 113–149. 7 indexed citations
13.
Dèbes, Pierre. (1999). Galois Covers with Prescribed Fibers: the Beckmann-Black Problem. French digital mathematics library (Numdam). 28(2). 273–286. 12 indexed citations
14.
Dèbes, Pierre, et al.. (1999). On fields of moduli of curves. Journal of Algebra. 211(1). 42–56. 26 indexed citations
15.
Dèbes, Pierre, et al.. (1998). Local-global principles for algebraic covers. Israel Journal of Mathematics. 103(1). 237–257. 8 indexed citations
16.
Dèbes, Pierre & Umberto Zannier. (1997). Hilbert's irreducibility theorem and $G$-functions. Mathematische Annalen. 309(3). 491–503. 2 indexed citations
17.
Dèbes, Pierre. (1995). On a problem of Dvornicich and Zannier. Acta Arithmetica. 73(4). 379–387. 2 indexed citations
18.
Dèbes, Pierre & Michael D. Fried. (1994). Nonrigid constructions in Galois theory. Pacific Journal of Mathematics. 163(1). 81–122. 13 indexed citations
19.
Dèbes, Pierre. (1992). On the irreducibility of the polynomials P(tm, Y). Journal of Number Theory. 42(2). 141–157. 9 indexed citations
20.
Dèbes, Pierre. (1990). Groupes de Galois sur K ( T ) . Journal de Théorie des Nombres de Bordeaux. 2(2). 229–243. 1 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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