Michel Waldschmidt

2.2k total citations
77 papers, 968 citations indexed

About

Michel Waldschmidt is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Michel Waldschmidt has authored 77 papers receiving a total of 968 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Algebra and Number Theory, 31 papers in Geometry and Topology and 26 papers in Mathematical Physics. Recurrent topics in Michel Waldschmidt's work include Analytic Number Theory Research (26 papers), Algebraic Geometry and Number Theory (17 papers) and History and Theory of Mathematics (13 papers). Michel Waldschmidt is often cited by papers focused on Analytic Number Theory Research (26 papers), Algebraic Geometry and Number Theory (17 papers) and History and Theory of Mathematics (13 papers). Michel Waldschmidt collaborates with scholars based in France, India and Canada. Michel Waldschmidt's co-authors include Maurice Mignotte, Pierre Cartier, Pierre Moussa, J. M. Luck, Patrice Philippon, Damien Roy, Jean Pierre Serre, Dominique Bertrand, Max Mignotte and Wolfgang M. Schmidt and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Journal of Computational and Applied Mathematics.

In The Last Decade

Michel Waldschmidt

67 papers receiving 792 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michel Waldschmidt France	17	489	365	364	259	218	77	968
Pierre Cartier France	14	466 1.0×	364 1.0×	373 1.0×	112 0.4×	82 0.4×	67	910
Caroline Series United Kingdom	18	701 1.4×	85 0.2×	869 2.4×	206 0.8×	219 1.0×	48	1.2k
Max Koecher Germany	17	392 0.8×	485 1.3×	317 0.9×	214 0.8×	195 0.9×	42	1.0k
Nobushige Kurokawa Japan	15	519 1.1×	948 2.6×	562 1.5×	130 0.5×	323 1.5×	96	1.4k
Alexandru Zaharescu United States	18	508 1.0×	939 2.6×	578 1.6×	140 0.5×	290 1.3×	269	1.4k
Dennis A. Hejhal United States	16	635 1.3×	657 1.8×	943 2.6×	70 0.3×	334 1.5×	42	1.5k
Miles Reid United Kingdom	20	1.1k 2.3×	277 0.8×	603 1.7×	205 0.8×	133 0.6×	34	1.4k
G. A. Margulis United States	27	1.1k 2.2×	277 0.8×	1.4k 3.9×	238 0.9×	405 1.9×	62	1.9k
Jean Pierre Serre France	11	1.2k 2.4×	714 2.0×	949 2.6×	260 1.0×	141 0.6×	25	1.8k
S. J. Patterson Germany	17	654 1.3×	354 1.0×	856 2.4×	72 0.3×	367 1.7×	47	1.2k

Countries citing papers authored by Michel Waldschmidt

Since Specialization

Citations

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

Fields of papers citing papers by Michel Waldschmidt

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michel Waldschmidt

This figure shows the co-authorship network connecting the top 25 collaborators of Michel Waldschmidt. A scholar is included among the top collaborators of Michel Waldschmidt 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 Michel Waldschmidt. Michel Waldschmidt 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

Waldschmidt, Michel. (2014). Diophantine approximation with applications to dynamical systems.

Bugeaud, Yann, et al.. (2011). Equations de Fermat--Pell--Mahler simultanees. Publicationes Mathematicae Debrecen. 357–366. 2 indexed citations

Waldschmidt, Michel. (2010). Recent Diophantine results on zeta values: a survey (解析数論およびその周辺の諸問題--RIMS研究集会報告集). 数理解析研究所講究録. 1710(1710). 166–179. 1 indexed citations

Waldschmidt, Michel. (2010). Diophantine Approximation on Linear Algebraic Groups: Transcendence Properties of the Exponential Function in Several Variables. CERN Document Server (European Organization for Nuclear Research). 31 indexed citations

Shiokawa, Iekata, et al.. (2006). DIOPHANTINE ANALYSIS AND WORDS. 59 Suppl 6. 393s–395s. 1 indexed citations

Waldschmidt, Michel. (2003). The Société Mathématique de France. Mitteilungen der Deutschen Mathematiker-Vereinigung. 11(1). 17 indexed citations

Waldschmidt, Michel. (1997). Sur la nature arithmétique des valeurs de fonctions modulaires. French digital mathematics library (Numdam). 39. 105–140. 3 indexed citations

Waldschmidt, Michel. (1996). Dependence of Logarithms on Commutative Algebraic Groups. Rocky Mountain Journal of Mathematics. 26(3). 1 indexed citations

Mignotte, Max & Michel Waldschmidt. (1994). On Algebraic Numbers of Small Height: Linear Forms in One Logarithm. Journal of Number Theory. 47(1). 43–62. 17 indexed citations

10.

Luck, J. M., Pierre Moussa, & Michel Waldschmidt. (1990). Number Theory and Physics. Springer proceedings in physics. 98 indexed citations

11.

Mignotte, Maurice & Michel Waldschmidt. (1989). Linear forms in two logarithms and Schneider's method (III). Annales de la faculté des sciences de Toulouse Mathématiques. S10. 43–75. 17 indexed citations

12.

Waldschmidt, Michel, Dominique Bertrand, & Jean Pierre Serre. (1987). Nombres transcendants et groupes algébriques. 30 indexed citations

13.

Waldschmidt, Michel, et al.. (1980). Fonctions abéliennes et nombres transcendants. Gauthier-Villars eBooks. 1 indexed citations

14.

Waldschmidt, Michel. (1978). Transcendence measures for exponentials and logarithms. Journal of the Australian Mathematical Society. 25(4). 445–465. 15 indexed citations

15.

Mignotte, Maurice & Michel Waldschmidt. (1977). Approximation simultanée de valeurs de la fonction exponentielle. Compositio Mathematica. 34(2). 127–139. 3 indexed citations

16.

Waldschmidt, Michel, et al.. (1977). Linear forms and simultaneous approximations. Compositio Mathematica. 34(2). 173–197. 13 indexed citations

17.

Waldschmidt, Michel. (1976). Les travaux de G. V. Čudnovskiĭ sur les nombres transcendants. French digital mathematics library (Numdam). 18. 274–292. 1 indexed citations

18.

Mignotte, Maurice & Michel Waldschmidt. (1975). Approximation des valeurs de fonctions transcendantes. Indagationes Mathematicae (Proceedings). 78(3). 213–223. 3 indexed citations

19.

Waldschmidt, Michel. (1973). Un premier cours sur les nombres transcendants. 2 indexed citations

20.

Waldschmidt, Michel. (1973). Solution du huitième problème de Schneider. Journal of Number Theory. 5(3). 191–202. 11 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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