Harald Andrés Helfgott

Discrete Mathematics and Combinatorics · 2004–2017

A researcher in the Science corpus: 13 papers; trusts 41 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 78 citations into it; #51 of 2,017 by trust here, #85 by citations
• Geometry and Topology — 53 citations into it; #417 of 7,422 by trust here, #615 by citations
• Algebra and Number Theory — 49 citations into it; #2,070 of 2,864 by trust here, #1,608 by citations
• Computational Theory and Mathematics — 23 citations into it; #642 of 12,182 by trust here, #1,936 by citations
• Mathematical Physics — 20 citations into it; #4,833 of 8,562 by trust here, #4,500 by citations
• Artificial Intelligence — 13 citations into it
• Applied Mathematics — 11 citations into it; #3,531 of 7,620 by trust here, #3,589 by citations
• Electrical and Electronic Engineering — 8 citations into it

Whom Harald Andrés Helfgott trusts overall

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

1. Jean Bourgain
2. A. Eskin
3. Moubariz Z. Garaev
4. Nets Hawk Katz
5. Alex Gamburd
6. L. Lov'asz
7. Isaac L. Chuang
8. Shahar Mozes
9. Ben Joseph Green
10. Emmanuel Breuillard

Who trusts Harald Andrés Helfgott overall

1. P. P. Varj'u
2. Emmanuel Breuillard
3. Jean Bourgain
4. Ilya D. Shkredov
5. Ben Joseph Green
6. Alex Gamburd
7. L. Pierce
8. Ehud Hrushovski
9. Peter Sarnak
10. Brendan Murphy

Papers from Harald Andrés Helfgott's perspective

Ordered by how strongly the researchers Harald Andrés Helfgott 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. Freiman's theorem in an arbitrary abelian group
4. Growth in finite simple groups of Lie type of bounded rank
5. Approximate Subgroups of Linear Groups
6. New bounds for Gauss sums derived from kth powers
7. A sum-product estimate in finite fields, and applications
8. On a variant of sum-product estimates and explicit exponential sum bounds in prime fields (Mathematical Proceedings of the Cambridge Philosophical Society)
9. Linear equations in primes
10. An Explicit Sum-Product Estimate in p

Their papers

• Growth and generation in SL_2(Z/pZ) (2005) — 253 citations
• Growth in groups: ideas and perspectives (2013) — 72 citations
• Graph isomorphisms in quasi-polynomial time (2017) — 51 citations
• On the diameter of permutation groups (2011) — 59 citations
• Growth and generation in $\mathrm{SL}_2(\mathbb{Z}/p \mathbb{Z})$ (2008) — 177 citations
• Major arcs for Goldbach's problem (2013) — 56 citations
• The ternary Goldbach conjecture is true (2013) — 127 citations
• Major arcs for Goldbach's theorem (2013) — 48 citations
• Minor arcs for Goldbach's problem (2012) — 61 citations
• An explicit incidence theorem in p (2010) — 50 citations
• Growth in SL_3(Z/pZ) (2008) — 67 citations
• Integral points on elliptic curves and 3-torsion in class groups (2004) — 101 citations
• On the behaviour of root numbers in families of elliptic curves (2004) — 49 citations