H. A. Helfgott

1.2k total citations
28 papers, 285 citations indexed

About

H. A. Helfgott is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, H. A. Helfgott has authored 28 papers receiving a total of 285 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Discrete Mathematics and Combinatorics, 11 papers in Geometry and Topology and 10 papers in Algebra and Number Theory. Recurrent topics in H. A. Helfgott's work include Analytic Number Theory Research (9 papers), Limits and Structures in Graph Theory (9 papers) and Finite Group Theory Research (8 papers). H. A. Helfgott is often cited by papers focused on Analytic Number Theory Research (9 papers), Limits and Structures in Graph Theory (9 papers) and Finite Group Theory Research (8 papers). H. A. Helfgott collaborates with scholars based in United States, France and United Kingdom. H. A. Helfgott's co-authors include Akshay Venkatesh, Ira M. Gessel, Ákos Seress, Terence Tao, David J. Platt, Brian Conrad, M. Cohn, Emanuel Carneiro, John Bamberg and Thomas P. Hayes and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and American Journal of Physics.

In The Last Decade

H. A. Helfgott

25 papers receiving 254 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
H. A. Helfgott United States 10 173 134 105 82 57 28 285
Benjamin Fine United States 11 176 1.0× 263 2.0× 81 0.8× 118 1.4× 125 2.2× 80 414
Francesco Pappalardi Italy 9 93 0.5× 114 0.9× 160 1.5× 36 0.4× 38 0.7× 42 244
Greg Martin Canada 10 82 0.5× 111 0.8× 177 1.7× 42 0.5× 67 1.2× 42 259
Luise-Charlotte Kappe United States 11 195 1.1× 170 1.3× 173 1.6× 80 1.0× 49 0.9× 40 358
Jean-Louis Nicolas France 12 172 1.0× 125 0.9× 303 2.9× 35 0.4× 90 1.6× 50 411
Jorge L. Ramírez Alfonsín France 7 77 0.4× 175 1.3× 188 1.8× 213 2.6× 32 0.6× 28 348
Gábor Hetyei United States 10 181 1.0× 97 0.7× 83 0.8× 98 1.2× 46 0.8× 39 234
Consuelo Martı́nez Spain 9 89 0.5× 298 2.2× 296 2.8× 57 0.7× 57 1.0× 61 395
В. А. Романьков Russia 12 197 1.1× 286 2.1× 67 0.6× 159 1.9× 151 2.6× 78 455
A. V. Mikhalev Russia 7 38 0.2× 109 0.8× 121 1.2× 44 0.5× 49 0.9× 50 216

Countries citing papers authored by H. A. Helfgott

Since Specialization
Citations

This map shows the geographic impact of H. A. Helfgott's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by H. A. Helfgott with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites H. A. Helfgott more than expected).

Fields of papers citing papers by H. A. Helfgott

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by H. A. Helfgott. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by H. A. Helfgott. The network helps show where H. A. Helfgott may publish in the future.

Co-authorship network of co-authors of H. A. Helfgott

This figure shows the co-authorship network connecting the top 25 collaborators of H. A. Helfgott. A scholar is included among the top collaborators of H. A. Helfgott based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with H. A. Helfgott. H. A. Helfgott is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Helfgott, H. A., et al.. (2022). Explicit L 2 bounds for the Riemann ζ function. Journal de Théorie des Nombres de Bordeaux. 34(1). 91–133. 1 indexed citations
2.
Helfgott, H. A., et al.. (2015). On the dimension of additive sets. Acta Arithmetica. 167(1). 91–100. 2 indexed citations
3.
Helfgott, H. A.. (2015). Growth in groups: ideas and perspectives. Bulletin of the American Mathematical Society. 52(3). 357–413. 12 indexed citations
4.
Helfgott, H. A., et al.. (2014). MAXIMA AND MINIMA BEFORE CALCULUS. Revistas PUCP (Pontificia Universidad Católica del Perú). 12. 135–158.
5.
Helfgott, H. A.. (2014). Square-free values of f(p), f cubic. Acta Mathematica. 213(1). 107–135. 10 indexed citations
6.
Helfgott, H. A., et al.. (2014). Growth in solvable subgroups of $${{\mathrm{GL}}}_r({\mathbb {Z}}/p{\mathbb {Z}})$$ GL r ( Z / p Z ). Mathematische Annalen. 360(1-2). 157–208. 5 indexed citations
7.
Helfgott, H. A.. (2011). Growth in $\mathrm{SL}_3(ℤ/pℤ)$. Journal of the European Mathematical Society. 13(3). 761–851. 23 indexed citations
8.
Tao, Terence, et al.. (2011). Deterministic methods to find primes. Mathematics of Computation. 81(278). 1233–1246. 16 indexed citations
9.
Helfgott, H. A., et al.. (2010). Growth in solvable subgroups of $GL_r(\mathbb{Z}/p\mathbb{Z})$. arXiv (Cornell University). 1 indexed citations
10.
Helfgott, H. A., et al.. (2010). Improving Roth's Theorem in the Primes. International Mathematics Research Notices. 3 indexed citations
11.
Helfgott, H. A.. (2008). Power-free values, large deviations, and integer points on irrational curves. Journal de Théorie des Nombres de Bordeaux. 19(2). 433–472. 9 indexed citations
12.
Helfgott, H. A.. (2008). Growth and generation in SL2(ℤ∕pℤ). Annals of Mathematics. 167(2). 601–623. 85 indexed citations
13.
Helfgott, H. A.. (2006). THE PARITY PROBLEM FOR REDUCIBLE CUBIC FORMS. Journal of the London Mathematical Society. 73(2). 415–435. 4 indexed citations
14.
Conrad, Brian, et al.. (2005). Root numbers and ranks in positive characteristic. Advances in Mathematics. 198(2). 684–731. 10 indexed citations
15.
Helfgott, H. A. & M. Cohn. (2002). On maximal parsings of strings. 2. 291–299. 2 indexed citations
16.
Helfgott, H. A., et al.. (2002). A noncalculus proof that Fermat’s principle of least time implies the law of refraction. American Journal of Physics. 70(12). 1224–1225. 3 indexed citations
17.
Helfgott, H. A., et al.. (2002). Linear-time construction of optimal context trees. 369–377. 7 indexed citations
18.
Helfgott, H. A. & Ira M. Gessel. (1999). Tilings of Diamonds and Hexagons with Defects. The Electronic Journal of Combinatorics. 6(1). 12 indexed citations
19.
Helfgott, H. A. & Ira M. Gessel. (1998). Enumeration of tilings of diamonds and hexagons with defects. ArXiv.org. 6(1). 12 indexed citations
20.
Helfgott, H. A., et al.. (1997). On Maximal Parsings.. 291–299. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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