Emmanuel Breuillard

Geometry and Topology · 2002–2018

A researcher in the Science corpus: 14 papers; trusts 41 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 113 citations into it; #1,338 of 7,422 by trust here, #763 by citations
• Discrete Mathematics and Combinatorics — 82 citations into it; #405 of 2,017 by trust here, #210 by citations
• Mathematical Physics — 59 citations into it; #2,356 of 8,562 by trust here, #2,200 by citations
• Algebra and Number Theory — 47 citations into it; #2,699 of 2,864 by trust here, #1,879 by citations
• Computational Theory and Mathematics — 38 citations into it; #4,596 of 12,182 by trust here, #3,681 by citations
• Applied Mathematics — 18 citations into it; #4,523 of 7,620 by trust here, #3,794 by citations
• Electrical and Electronic Engineering — 7 citations into it

Whom Emmanuel Breuillard trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jean Bourgain
2. Harald Andrés Helfgott
3. Misha Gromov
4. Ben Joseph Green
5. Ehud Hrushovski
6. Michael Larsen
7. László Pyber
8. Alex Gamburd
9. Terence Tao
10. Tsachik Gelander

Who trusts Emmanuel Breuillard overall

1. Yves Cornulier
2. Richard Aoun
3. P. P. Varj'u
4. Harald Andrés Helfgott
5. M. Kennedy
6. Ben Joseph Green
7. Tsachik Gelander
8. Terence Tao
9. Alexander Lubotzky
10. Jean Bourgain

Papers from Emmanuel Breuillard's perspective

Ordered by how strongly the researchers Emmanuel Breuillard trusts endorse each paper. Same corpus, a different order for every researcher.

1. Growth and generation in SL_2(Z/pZ)
2. Uniform expansion bounds for Cayley graphs of SL2(Fp)
3. Finite subgroups of algebraic groups
4. Expander Graphs and their Applications
5. Freiman's theorem in an arbitrary abelian group
6. APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE
7. Approximate Subgroups of Linear Groups
8. Stable group theory and approximate subgroups
9. Additive Combinatorics: Contents
10. Growth in finite simple groups of Lie type of bounded rank

Their papers

• Approximate Subgroups of Linear Groups (2010) — 242 citations
• The structure of approximate groups (2011) — 250 citations
• On the joint spectral radius for isometries of non-positively curved spaces and uniform growth (2018) — 51 citations
• Nilprogressions and groups with moderate growth (2015) — 62 citations
• C*-simplicity and the unique trace property for discrete groups (2014) — 192 citations
• Expansion in finite simple groups of Lie type (2013) — 162 citations
• On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry (2012) — 65 citations
• Strongly dense free subgroups of semisimple algebraic groups (2010) — 46 citations
• APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE (2009) — 50 citations
• A Strong Tits Alternative (2008) — 51 citations
• Geometry of Locally Compact Groups of Polynomial Growth and Shape of Large Balls (2007) — 113 citations
• Uniform independence in linear groups (2006) — 63 citations
• A topological Tits alternative (2004) — 94 citations
• On dense free subgroups of Lie groups (2002) — 151 citations