Serge Cantat | Academic Influence

Why Is Serge Cantat Influential?

According to Wikipedia, Serge Marc Cantat is a French mathematician, specializing in geometry and dynamical systems. Cantat received his PhD under the supervision of Étienne Ghys in 1999 at the École normale supérieure de Lyon. Cantat is a directeur de recherche of CNRS at the Institut de recherches mathématiques de Rennes . He was previously directeur de recherche of CNRS at ENS Paris.

Serge Cantat's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Normal subgroups in the Cremona group (96)
Dynamical degrees of birational transformations of projective surfaces (70)
Rational surfaces with a large group of automorphisms (70)
Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation (48)
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups (36)
Dynamics of automorphisms of compact complex surfaces (35)
Bers and H\'enon, Painlev\'e and Schroedinger (35)
Invariant hypersurfaces in holomorphic dynamics (31)
BERS AND HÉNON, PAINLEVÉ AND SCHRÖDINGER (27)
Holomorphic actions, Kummer examples, and Zimmer Program (25)
Morphisms between Cremona groups, and characterization of rational varieties (20)
Linearity of the exceptional set for maps of Pk(C) (19)
Holomorphic dynamics, Painlev\'e VI equation and Character Varieties (18)
The Cremona group in two variables (18)
Constraints on automorphism groups of higher dimensional manifolds (17)
Pseudo-automorphisms with no invariant foliation (15)
Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy (14)
Algebraic actions of discrete groups: the $p$-adic method (13)
Estimates for simple random walks on fundamental groups of surfaces (13)
Analytic actions of mapping class groups on surfaces (12)
The Cremona group (12)
Automorphisms of compact Kähler manifolds with slow dynamics (8)
Families of commuting automorphisms, and a characterization of the affine space (8)
Random dynamics on real and complex projective surfaces (7)
AUTOMORPHISMS AND DYNAMICS: A LIST OF OPEN PROBLEMS (7)
The Cremona group (7)
The geometric Bogomolov conjecture (7)
Dynamics of automorphisms of compact complex surfaces (a survey) (6)
Distortion in Cremona groups (6)
Holomorphic actions of higher rank lattices in dimension three (6)
Commensurating actions of birational groups and groups of pseudo-automorphisms (5)
On degrees of birational mappings (5)
BIRATIONAL PERMUTATIONS (4)
Finite orbits for large groups of automorphisms of projective surfaces (4)
Elements Generating a Proper Normal Subgroup of the Cremona Group (3)
Three chapters on Cremona groups (2)
Free actions of large groups on complex threefolds. (1)
A REMARK ON GROUPS OF BIRATIONAL TRANSFORMATIONS AND THE WORD PROBLEM (AFTER YVES DE CORNULIER) (1)
Un lemme d'interpolation (1)
Surface groups in the group of germs of analytic diffeomorphisms in one variable (0)
ENDOMORPHISMS AND BIJECTIONS OF THE CHARACTER (0)
Dynamics on character varieties (Complex Dynamics and Related Topics) (0)
Algebraic GeometryBirational permutationsBijections birationnelles (0)
Invariant measures for large automorphism groups of projective surfaces (0)
Endomorphisms and bijections of the character variety $\chi (\protect \mathbf{F}_2,\protect \mathsf {SL}_2(\protect \mathbf{C}))$ (0)
Corrigendum to “Constraints on automorphism groups of higher dimensional manifolds” [J. Math. Anal. Appl. 405 (2013) 209–213] (0)
Endomorphisms and bijections of the character variety χ(F 2 ,SL 2 (C)) (0)
Birational conjugacies between endomorphisms on the projective plane (0)
Finite orbits and canonical heights for large groups of automorphisms. (0)
Algebraic Geometry Birational permutations (0)
INVARIANT HYPERSURFACES IN HOLOMORPHIC DYNAMICS SERGE CANTAT To Thierry Vust for his 65th birthday (0)
BERS AND HÉNON , PAINLEVÉ AND SCHRÖDINGER 2 5 (0)

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