Alex Kontorovich

Algebra and Number Theory · 2004–2012

A researcher in the Science corpus: 9 papers; trusts 24 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 47 citations into it; #448 of 2,864 by trust here, #469 by citations
• Discrete Mathematics and Combinatorics — 45 citations into it; #560 of 2,017 by trust here, #502 by citations
• Mathematical Physics — 40 citations into it; #1,595 of 8,562 by trust here, #1,398 by citations
• Geometry and Topology — 25 citations into it; #1,136 of 7,422 by trust here, #1,119 by citations
• Computational Theory and Mathematics — 12 citations into it; #10,312 of 12,182 by trust here, #9,804 by citations
• Statistical and Nonlinear Physics — 6 citations into it

Whom Alex Kontorovich trusts overall

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

1. Jean Bourgain
2. Alex Gamburd
3. Peter Sarnak
4. H. Oh
5. Harald Andrés Helfgott
6. Iroon Polytechniou
7. ShinnYih Huang
8. Ben Joseph Green
9. P. P. Varj'u
10. Akshay Venkatesh

Who trusts Alex Kontorovich overall

1. H. Oh
2. Jean Bourgain
3. A. Mohammadi
4. Peter Sarnak
5. Alexander Gorodnik
6. ShinnYih Huang
7. Geordie Williamson
8. Alex Gamburd
9. Alexander Lubotzky
10. Terence Tao

Papers from Alex Kontorovich's perspective

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

1. Linear equations in primes
2. What is . . . An expander
3. Uniform expansion bounds for Cayley graphs of SL2(Fp)
4. The discretized sum-product and projection theorems
5. Sparse equidistribution problems, period bounds and subconvexity
6. FUNCTORIALITY FOR THE EXTERIOR SQUARE OF GL4 AND THE SYMMETRIC FOURTH OF GL2
7. A proof of the positive density conjecture for integer Apollonian circle packings
8. Apollonian Circle Packings: Number Theory
9. Approximate Subgroups of Linear Groups
10. On the spectral gap for infinite index “congruence” subgroups of SL2(Z)

Their papers

• Benford's law, values of L-functions and the 3x+1 problem (2004) — 57 citations
• On the local-global conjecture for integral Apollonian gaskets (2012) — 64 citations
• From Apollonius To Zaremba: Local-Global Phenomena in Thin Orbits (2012) — 68 citations
• Zaremba’s conjecture (2011) — 96 citations
• Sector Estimates for Hyperbolic Isometries (2010) — 62 citations
• On representations of integers in thin subgroups of SL(2,Z) (2010) — 50 citations
• Almost prime Pythagorean triples in thin orbits (2010) — 49 citations
• Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds (2008) — 137 citations
• The Hyperbolic Lattice Point Count in Infinite Volume with Applications to Sieves (2007) — 49 citations