Alexander Lubotzky

Geometry and Topology · 2001–2018

A researcher in the Science corpus: 17 papers; trusts 43 researchers and is trusted by 45 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 61 citations into it; #490 of 7,422 by trust here, #449 by citations
• Mathematical Physics — 57 citations into it; #1,711 of 8,562 by trust here, #1,961 by citations
• Discrete Mathematics and Combinatorics — 46 citations into it; #159 of 2,017 by trust here, #89 by citations
• Algebra and Number Theory — 28 citations into it
• Computational Theory and Mathematics — 21 citations into it; #2,267 of 12,182 by trust here, #1,782 by citations
• Applied Mathematics — 14 citations into it
• Artificial Intelligence — 11 citations into it; #11,349 of 35,345 by trust here, #23,731 by citations
• Electrical and Electronic Engineering — 10 citations into it

Whom Alexander Lubotzky trusts overall

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

1. Martin Kassabov
2. Misha Gromov
3. Emmanuel Kowalski
4. Shlomo Hoory
5. Damien Gaboriau
6. Jean Bourgain
7. Ben Joseph Green
8. Jordan S. Ellenberg
9. Marc Lackenby
10. Terence Tao

Who trusts Alexander Lubotzky overall

1. A. Jaikin‐Zapirain
2. Michael Larsen
3. Marcus du Sautoy
4. Jason A. Behrstock
5. M. Cabanes
6. Alireza Salehi Golsefidy
7. Nikolay Nikolov
8. Fritz Grunewald
9. Alex Kontorovich
10. Gilles Pisier

Papers from Alexander Lubotzky's perspective

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

1. Expander Graphs and their Applications
2. Approximate Subgroups of Linear Groups
3. Opera De Cribro
4. Topics in orbit equivalence
5. Combinatorial Group Theory
6. Apollonian Circle Packings: Number Theory
7. Growth in finite simple groups of Lie type of bounded rank
8. Symmetric groups and expander graphs
9. Uniform expansion bounds for Cayley graphs of SL2(Fp)
10. Expanders, rank and graphs of groups

Their papers

• Rank-1 phenomena for mapping class groups (2001) — 112 citations
• Finite Group Theory (2003) — 1,074 citations
• Counting Hyperbolic Manifolds (2002) — 71 citations
• Pro-finite Presentations☆ (2001) — 58 citations
• Stability and invariant random subgroups (2018) — 66 citations
• STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS (2017) — 72 citations
• Arithmetic quotients of the mapping class group (2013) — 52 citations
• Ramanujan complexes and high dimensional expanders (2012) — 76 citations
• Expander graphs in pure and applied mathematics (2011) — 241 citations
• Invariable generation and the chebotarev invariant of a finite group (2010) — 60 citations
• Counting arithmetic lattices and surfaces (2008) — 55 citations
• Presentations of finite simple groups: a quantitative approach (2006) — 54 citations
• Representation Growth of Linear Groups (2006) — 88 citations
• Linear Representations of the Automorphism Group of a Free Group (2006) — 83 citations
• Ramanujan complexes of typeÃd (2005) — 74 citations
• Finite groups and hyperbolic manifolds (2004) — 57 citations
• Polynomial representation growth and the congruence subgroup problem (2004) — 57 citations