Emmanuel Breuillard

Emmanuel Breuillard's AcademicInfluence.com Rankings

Emmanuel Breuillard

Mathematics

#960

World Rank

#1666

Historical Rank

Group Theory

#71

World Rank

#90

Historical Rank

Algebra

#578

World Rank

#762

Historical Rank

Measure Theory

#4353

World Rank

#5121

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Emmanuel Breuillard Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Emmanuel Breuillard is a French mathematician. He was the Sadleirian Professor of Pure Mathematics in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge, and is now Professor of Pure Mathematics at the Mathematical Institute, University of Oxford as of January 1, 2022. He had previously been professor at Paris-Sud 11 University.

(See a Problem?)

Emmanuel Breuillard'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 Works

Approximate Subgroups of Linear Groups (2010) (217)
The structure of approximate groups (2011) (197)
C*-simplicity and the unique trace property for discrete groups (2014) (140)
Expansion in finite simple groups of Lie type (2013) (135)
On dense free subgroups of Lie groups (2002) (128)
Geometry of Locally Compact Groups of Polynomial Growth and Shape of Large Balls (2007) (88)
A topological Tits alternative (2004) (78)
Uniform independence in linear groups (2006) (58)
APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE (2009) (51)
Nilprogressions and groups with moderate growth (2015) (51)
On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry (2012) (48)
Approximate groups. I The torsion-free nilpotent case (2009) (42)
Strongly dense free subgroups of semisimple algebraic groups (2010) (40)
Suzuki groups as expanders (2010) (40)
A Strong Tits Alternative (2008) (38)
Dense embeddings of surface groups (2006) (37)
Strong Uniform Expansion in SL(2, p) (2010) (36)
On uniform exponential growth for solvable groups (2006) (35)
Approximate groups, III: the unitary case (2010) (33)
Local limit theorems and equidistribution of random walks on the Heisenberg group (2005) (33)
From random walks to rough paths (2008) (32)
Entropy of Bernoulli convolutions and uniform exponential growth for linear groups (2015) (32)
On the joint spectral radius for isometries of non-positively curved spaces and uniform growth (2018) (28)
A nilpotent Freiman dimension lemma (2011) (26)
A Height Gap Theorem For Finite Subsets Of GL_d(\bar{Q}) and Non Amenable Subgroups (2008) (26)
A brief introduction to approximate groups (2013) (26)
On the dimension of Bernoulli convolutions (2016) (25)
Linear Approximate Groups (2010) (24)
Irreducibility of random polynomials of large degree (2018) (23)
Cheeger constant and algebraic entropy of linear groups (2005) (22)
Small Doubling in Groups (2013) (20)
The joint spectrum (2018) (19)
Diophantine approximation on matrices and Lie groups (2016) (17)
Approximate subgroups and super-strong approximation (2014) (16)
On metric diophantine approximation in matrices and Lie groups (2014) (15)
Diophantine properties of nilpotent Lie groups (2013) (15)
On conjugacy growth for solvable groups (2010) (14)
Equidistribution of dense subgroups on nilpotent Lie groups (2007) (13)
EXPANDER GRAPHS, PROPERTY (τ) AND APPROXIMATE GROUPS (2013) (13)
On conjugacy growth of linear groups† (2011) (13)
An exposition of Jordan's original proof of his theorem on finite subgroups of $\GL_n(\C)$ (2023) (12)
Projective geometries arising from Elekes-Szabó problems (2018) (12)
A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups (2011) (11)
Thin groups and superstrong approximation (2014) (10)
Expansion in simple groups. (2018) (9)
Cut-off phenomenon for the ax+b Markov chain over a finite field (2019) (9)
NILPOTENT GROUPS, ASYMPTOTIC CONES AND SUBFINSLER GEOMETRY (2012) (7)
LECTURES ON APPROXIMATE GROUPS (2011) (7)
Lectures on approximate groups and Hilbert’s 5th problem (2015) (5)
On the Lehmer conjecture and counting in finite fields (2018) (2)
of GLd(Q) and nonamenable subgroups (2011) (2)
Contractions and expansion (2011) (2)
Strongly dense free subgroups of semisimple algebraic groups (2012) (1)
RANDOM WALKS ON LIE GROUPS (2006) (1)
Ju n 20 02 ON DENSE FREE SUBGROUPS OF LIE GROUPS (2003) (1)
Model Theory: Groups, Geometries and Combinatorics (2021) (1)
A subspace theorem for manifolds (2021) (1)
The central limit theorem on nilpotent Lie groups (2023) (1)
Salem Numbers and the Spectrum of Hyperbolic Surfaces (2016) (1)
Strong uniform expansion in $\mathrm{SL}(2,p)$ (2009) (1)
Thin Groups And Superstrong Approximation Emmanuel (2022) (0)
LECTURE 3: PROPERTY (τ) AND EXPANDERS (PRELIMINARY VERSION) (2012) (0)
PCMI LECTURE NOTES ON PROPERTY (T ), EXPANDER GRAPHS AND APPROXIMATE GROUPS (PRELIMINARY VERSION) (2012) (0)
LECTURE 4: APPROXIMATE GROUPS AND THE BOURGAIN-GAMBURD METHOD (PRELIMINARY VERSION) (2012) (0)
On the joint spectral radius (2021) (0)
Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry (2018) (0)
LECTURE 2: THE TITS ALTERNATIVE AND KAZHDAN’S PROPERTY (T ) (PRELIMINARY VERSION) (2012) (0)
The local limit theorem on nilpotent Lie groups (2023) (0)
Groups, Dynamics, and Approximation (2020) (0)
EXERCISES FOR THE PCMI SUMMER SCHOOL (2012) (0)
N ov 2 01 1 A HEIGHT GAP THEOREM FOR FINITE SUBSETS OF GL d ( Q ) AND NON AMENABLE SUBGROUPS (2021) (0)
Thin Groups And Superstrong Approximation Emmanuel Breuillard Pdf (2022) (0)
The structure of approximate groups (2012) (0)
Simply-laced isomonodromy systems . On the functions counting walks with small steps in the quarter plane . The structure of approximate groups . On stably free modules over affine algebras . Perfectoid spaces (2012) (0)
Random unitaries, amenable linear groups and Jordan's theorem (2017) (0)
Diophantine approximation on matrices and Lie groups (2018) (0)
C*-simplicity and the unique trace property for discrete groups (2017) (0)

This paper list is powered by the following services:

Other Resources About Emmanuel Breuillard

en.wikipedia.org

What Schools Are Affiliated With Emmanuel Breuillard?

Emmanuel Breuillard is affiliated with the following schools:

Emmanuel Breuillard's Academic­Influence.com Rankings

Why Is Emmanuel Breuillard Influential?

Emmanuel Breuillard's Published Works

Published Works

Other Resources About Emmanuel Breuillard

What Schools Are Affiliated With Emmanuel Breuillard?

Emmanuel Breuillard's AcademicInfluence.com Rankings