Patrice Philippon

1.1k total citations
45 papers, 493 citations indexed

About

Patrice Philippon is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Patrice Philippon has authored 45 papers receiving a total of 493 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Geometry and Topology, 18 papers in Algebra and Number Theory and 15 papers in Mathematical Physics. Recurrent topics in Patrice Philippon's work include Algebraic Geometry and Number Theory (29 papers), Polynomial and algebraic computation (8 papers) and Mathematical Dynamics and Fractals (8 papers). Patrice Philippon is often cited by papers focused on Algebraic Geometry and Number Theory (29 papers), Polynomial and algebraic computation (8 papers) and Mathematical Dynamics and Fractals (8 papers). Patrice Philippon collaborates with scholars based in France, Spain and India. Patrice Philippon's co-authors include Yuri Valentinovich Nesterenko, Martı́n Sombra, Sinnou David, Michel Waldschmidt, José Ignacio Burgos Gil, Daniel Bertrand, Atsushi Moriwaki, Juan Rivera‐Letelier, Max Mignotte and D. Bertrand and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Inventiones mathematicae.

In The Last Decade

Patrice Philippon

41 papers receiving 407 citations

Peers

Patrice Philippon

ANT

CTM

W. Dale Brownawell United States

Pietro Corvaja Italy

Edoardo Sernesi Italy

Paul Vojta United States

Yuri Bilu France

Enric Nart Spain

Werner Lütkebohmert Germany

Lucien Szpiro United States

David Harbater United States

Mutsuo Oka Japan

W. Dale Brownawell United States

Patrice Philippon

315 ×0.8

174 ×0.9

ANT

207 ×1.1

CTM

90 ×0.5

106 ×1.3

Citations per year, relative to Patrice Philippon Patrice Philippon (= 1×) peers W. Dale Brownawell

Countries citing papers authored by Patrice Philippon

Since Specialization

Citations

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

Fields of papers citing papers by Patrice Philippon

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrice Philippon

This figure shows the co-authorship network connecting the top 25 collaborators of Patrice Philippon. A scholar is included among the top collaborators of Patrice Philippon 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 Patrice Philippon. Patrice Philippon is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Philippon, Patrice, et al.. (2024). Mumford-Tate groups of 1-motives and Weil pairing. Journal of Pure and Applied Algebra. 228(10). 107702–107702.

Philippon, Patrice, et al.. (2022). Semi-abelian analogues of Schanuel conjecture and applications. Journal of Algebra. 596. 250–288. 1 indexed citations

Gil, José Ignacio Burgos, Patrice Philippon, Juan Rivera‐Letelier, & Martı́n Sombra. (2021). The distribution of galois orbits of points of small height in toric varieties. DIGITAL.CSIC (Spanish National Research Council (CSIC)). 2 indexed citations

Philippon, Patrice, et al.. (2020). A note on trace of powers of algebraic numbers. Journal of Number Theory. 219. 198–211.

Philippon, Patrice, et al.. (2019). An abelian analogue of Schanuel’s conjecture and applications. The Ramanujan Journal. 52(2). 381–392. 2 indexed citations

Gil, José Ignacio Burgos, Patrice Philippon, & Martı́n Sombra. (2018). Arithmetic Geometry of Toric Varieties. Metrics, Measures and Heights. Astérisque. 16 indexed citations

Gil, José Ignacio Burgos, Patrice Philippon, & Martı́n Sombra. (2015). Successive minima of toric height functions. Annals of the Fourier Institute (Institut Fourier). 5 indexed citations

Gil, José Ignacio Burgos, Patrice Philippon, & Martı́n Sombra. (2009). Hauteur des sous-schémas toriques et dualité de Legendre–Fenchel. Comptes Rendus Mathématique. 347(11-12). 589–594. 1 indexed citations

Philippon, Patrice & Martı́n Sombra. (2008). A refinement of the Bernštein–Kušnirenko estimate. Advances in Mathematics. 218(5). 1370–1418. 6 indexed citations

10.

Philippon, Patrice, et al.. (2007). Minorations des hauteurs normalisees des sous-varietes des puissances des courbes elliptiques. HighWire Press Open Archive. 6 indexed citations

11.

Philippon, Patrice & Martı́n Sombra. (2007). Une nouvelle majoration pour le nombre de solutions d'un système d'équations polynomiales. Comptes Rendus Mathématique. 345(6). 335–340. 1 indexed citations

12.

Nesterenko, Yuri Valentinovich & Patrice Philippon. (2001). Introduction to Algebraic Independence Theory. Lecture notes in mathematics. 49 indexed citations

13.

Philippon, Patrice. (2000). Approximations algébriques des points dans les espaces projectifs I. Journal of Number Theory. 81(2). 234–253. 4 indexed citations

14.

Philippon, Patrice. (2000). Addendum à quelques remarques sur des questions d'approximation diophantienne. Bulletin of the Australian Mathematical Society. 61(1). 167–169. 2 indexed citations

15.

David, Sinnou & Patrice Philippon. (1999). Minorations des hauteurs normalisées des sous-variétés des tores. French digital mathematics library (Numdam). 28(3). 489–543. 21 indexed citations

16.

Philippon, Patrice. (1998). Indépendance algébrique et K-fonctions. Journal für die reine und angewandte Mathematik (Crelles Journal). 1998(497). 1–15. 6 indexed citations

17.

Philippon, Patrice. (1997). Une approche méthodique pour la transcendance et l'indépendance algébrique de valeurs de fonctions analytiques. Journal of Number Theory. 64(2). 291–338. 14 indexed citations

18.

Philippon, Patrice. (1995). Nouveaux aspects de la transcendance. Journal de Théorie des Nombres de Bordeaux. 7(1). 191–218. 1 indexed citations

19.

Philippon, Patrice. (1994). Sur des hauteurs alternatives. II. Annales de l’institut Fourier. 44(4). 1043–1065. 17 indexed citations

20.

Philippon, Patrice. (1989). Théorème des zéros effectif et élimination. Journal de Théorie des Nombres de Bordeaux. 1(1). 137–155. 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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