Alex Gamburd

Geometry and Topology · 2002–2015

A researcher in the Science corpus: 11 papers; trusts 23 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 38 citations into it; #1,663 of 7,422 by trust here, #1,410 by citations
• Discrete Mathematics and Combinatorics — 33 citations into it; #60 of 2,017 by trust here, #42 by citations
• Mathematical Physics — 24 citations into it; #480 of 8,562 by trust here, #349 by citations
• Algebra and Number Theory — 21 citations into it; #115 of 2,864 by trust here, #78 by citations
• Computational Theory and Mathematics — 18 citations into it
• Applied Mathematics — 13 citations into it
• Statistical and Nonlinear Physics — 8 citations into it

Whom Alex Gamburd trusts overall

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

1. Jean Bourgain
2. Peter Sarnak
3. Harald Andrés Helfgott
4. Terence Tao
5. Nets Hawk Katz
6. Christopher M. Dawson
7. Ben Joseph Green
8. Fr'ed'eric Naud
9. Alex Kontorovich
10. Craig A. Tracy

Who trusts Alex Gamburd overall

1. Jean Bourgain
2. Peter Sarnak
3. Alex Kontorovich
4. P. P. Varj'u
5. Emmanuel Breuillard
6. Harald Andrés Helfgott
7. Alireza Salehi Golsefidy
8. H. Oh
9. Ilya D. Shkredov
10. A. Mohammadi

Papers from Alex Gamburd's perspective

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

1. Uniform expansion bounds for Cayley graphs of SL2(Fp)
2. Growth and generation in SL_2(Z/pZ)
3. Approximate Subgroups of Linear Groups
4. Linear equations in primes
5. Heights in Diophantine Geometry
6. Additive Combinatorics: Contents
7. What is . . . An expander
8. Apollonian Circle Packings: Number Theory
9. The discretized sum-product and projection theorems
10. Analytic Number Theory (All the Math You Missed)

Their papers

• Markoff Triples and Strong Approximation (2015) — 60 citations
• Generalization of Selberg’s $$ \frac{3}{{16}} $$ theorem and affine sieve (2011) — 55 citations
• A Spectral Gap Theorem in $SU(d)$ (2011) — 124 citations
• Affine linear sieve, expanders, and sum-product (2010) — 203 citations
• Generalization of Selberg's 3/16 Theorem and Affine Sieve (2009) — 117 citations
• Uniform expansion bounds for Cayley graphs of SL2(Fp) (2008) — 314 citations
• Expansion and random walks in SL_d(Z/p^n Z): II (2008) — 82 citations
• On the spectral gap for finitely-generated subgroups of SU(2) (2007) — 191 citations
• Sieving and expanders (2006) — 54 citations
• Poisson–Dirichlet distribution for random Belyi surfaces (2005) — 60 citations
• On the spectral gap for infinite index “congruence” subgroups of SL2(Z) (2002) — 121 citations