Harald Helfgott

Q: What Schools Are Affiliated With Harald Helfgott

Harald Helfgott is affiliated with the following schools: University of Göttingen, National University of Engineering , Princeton University, Brandeis University

Harald Helfgott's AcademicInfluence.com Rankings

Harald Helfgott

Mathematics

#261

World Rank

#564

Historical Rank

Number Theory

#17

World Rank

#34

Historical Rank

Measure Theory

#4605

World Rank

#5391

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Harald Helfgott Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Harald Andrés Helfgott is a Peruvian mathematician working in number theory. Helfgott is a researcher at the CNRS at the Institut Mathématique de Jussieu, Paris. Early life and education Helfgott was born on 25 November 1977 in Lima, Peru. He graduated from Brandeis University in 1998 . He received his Ph.D. from Princeton University in 2003 under the direction of Henryk Iwaniec and Peter Sarnak, with the thesis Root numbers and the parity problem.

(See a Problem?)

Harald Helfgott's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Growth and generation in SL_2(Z/pZ) (2005) (220)
Growth and generation in $\mathrm{SL}_2(\mathbb{Z}/p \mathbb{Z})$ (2008) (183)
The ternary Goldbach conjecture is true (2013) (103)
Integral points on elliptic curves and 3-torsion in class groups (2004) (85)
Growth in groups: ideas and perspectives (2013) (59)
Growth in SL_3(Z/pZ) (2008) (58)
Major arcs for Goldbach's problem (2013) (52)
Minor arcs for Goldbach's problem (2012) (51)
An explicit incidence theorem in p (2010) (45)
On the behaviour of root numbers in families of elliptic curves (2004) (42)
Lossless Image Compression by Block Matching (1997) (39)
Deterministic methods to find primes (2011) (37)
On the square-free sieve (2003) (32)
Root numbers and ranks in positive characteristic (2004) (31)
ENUMERATION OF TILINGS OF DIAMONDS AND HEXAGONS WITH DEFECTS (1998) (30)
Growth in solvable subgroups of GL r (Z/ p Z) (2010) (24)
Random generators of the symmetric group: diameter, mixing time and spectral gap (2013) (24)
Graph isomorphisms in quasi-polynomial time (2017) (23)
Numerical Verification of the Ternary Goldbach Conjecture up to 8.875·1030 (2013) (23)
Growth of small generating sets in SL_n(Z/pZ) (2010) (23)
Power-free values, large deviations, and integer points on irrational curves (2004) (23)
Root numbers and the parity problem (2003) (21)
Improving Roth's Theorem in the Primes (2009) (20)
Growth in solvable subgroups of $${{\mathrm{GL}}}_r({\mathbb {Z}}/p{\mathbb {Z}})$$GLr(Z/pZ) (2014) (20)
Tilings of Diamonds and Hexagons with Defects (1999) (17)
Edge Effects on Local Statistics in Lattice Dimers: A Study of the Aztec Diamond (Finite Case) (2000) (14)
Bounds on the diameter of Cayley graphs of the symmetric group (2012) (14)
The Parity Problem for Reducible Cubic Forms (2004) (14)
The ternary Goldbach problem (2014) (13)
The parity problem for irreducible cubic forms (2005) (11)
An improved sieve of Eratosthenes (2017) (11)
Growth in Linear Algebraic Groups and Permutation Groups: Towards a Unified Perspective (2018) (10)
Linear-time construction of optimal context trees (1998) (9)
A noncalculus proof that Fermat’s principle of least time implies the law of refraction (2002) (9)
Power-free values, repulsion between points, differing beliefs and the existence of error (2007) (8)
On growth in an abstract plane (2012) (7)
Expansion, divisibility and parity: an explanation (2022) (5)
Soficity, short cycles, and the Higman group (2015) (4)
Growth and expansion in algebraic groups over finite fields (2019) (4)
Explicit $L^2$ bounds for the Riemann $\zeta$ function (2019) (4)
Expansion, divisibility and parity (2021) (4)
Growth estimates and diameter bounds for classical Chevalley groups (2021) (4)
Growth in solvable subgroups of $GL_r(\mathbb{Z}/p\mathbb{Z})$ (2010) (3)
J un 2 01 9 Explicit L 2 bounds for the Riemann ζ function (2019) (3)
Summing μ ( n ) : a faster elementary algorithm. (2021) (3)
On the dimension of additive sets (2014) (3)
Machine-Assisted Proofs (ICM 2018 Panel) (2018) (3)
On Maximal Parsings. (1997) (2)
Growth in solvable subgroups of GLr(Z/pZ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathrm{GL}}}_r({\mathbb {Z (2014) (1)
On maximal parsings of strings (1997) (1)
Asymmetry in Ziv/Lempel '78 parsing (1997) (0)
’ s repository of research publications and other research outputs On growth in an abstract plane (2016) (0)
Summing \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu (n)$$\end{document}μ(n): a faster elementary algorithm (2022) (0)
GROWTH AND EXPANSION IN GROUPS OF LIE TYPE (2016) (0)
The average elliptic curve has few integral (2014) (0)
On growth in an abstract plane Journal Item (2013) (0)
GROWTH AND EXPANSION : PROJECT DESCRIPTIONS (2016) (0)
MACHINE-ASSISTED PROOFS (2019) (0)
MAXIMA AND MINIMA BEFORE CALCULUS (2014) (0)
The average elliptic curve has few integral points (2014) (0)
Power-free values of polynomials and integer points on irrational curves (2004) (0)
Optimality for the two-parameter quadratic sieve (2020) (0)

This paper list is powered by the following services:

Other Resources About Harald Helfgott

en.wikipedia.org

What Schools Are Affiliated With Harald Helfgott?

Harald Helfgott is affiliated with the following schools:

Harald Helfgott's Academic­Influence.com Rankings

Why Is Harald Helfgott Influential?

Harald Helfgott's Published Works

Published Works

Other Resources About Harald Helfgott

What Schools Are Affiliated With Harald Helfgott?

Image Attributions

Harald Helfgott's AcademicInfluence.com Rankings