2026 D. R. Heath-Brown: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	48	1189	1015	92	79	174	12436

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1189

1015

174

12436

Research.com Recognitions

2016 - Member of Academia Europaea
2013 - Fellow of the American Mathematical Society

Overview

D. R. Heath-Brown is a researcher affiliated with the University of Oxford in the United Kingdom, specializing in various subfields of mathematics. Their work spans algebra and number theory, applied mathematics, geometry and topology, mathematical physics, and discrete mathematics and combinatorics.

The main fields of study include:

Mathematics

The subfields of study D. R. Heath-Brown has contributed to are:

Algebra and Number Theory
Applied Mathematics
Geometry and Topology
Mathematical Physics
Discrete Mathematics and Combinatorics

Their research touches on a range of topics, including:

Analytic Number Theory Research
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Meromorphic and Entire Functions
Finite Group Theory Research
Mathematics and Applications
Mathematical Dynamics and Fractals

Frequent co-authors include:

T. D. Browning
Daniel Loughran

D. R. Heath-Brown's publications have appeared in several venues, with the most frequent being arXiv (Cornell University). Other notable journals include Acta Arithmetica, Essential Number Theory, Forum Mathematicum, and Biographical Memoirs of Fellows of the Royal Society.

Their recent papers include:

The cubic case of Vinogradov's mean valuetheorem, 2022, Essential Number Theory
Equidistribution for solutions of p + m² + n² = N, and for Châtelet surfaces, 2023, Acta Arithmetica
The geometric sieve for quadrics, 2020, Forum Mathematicum
Christopher Hooley. 7 August 1928-13 December 2018, 2020, Biographical Memoirs of Fellows of the Royal Society
The Distribution of Rational Points on Conics, 2022, arXiv (Cornell University)

D. R. Heath-Brown has been recognized by the mathematical community through several distinctions, including:

Member of Academia Europaea, 2016
Fellow of the American Mathematical Society, 2013

Best Publications

The Theory of the Riemann Zeta-Function

Edward Charles Titchmarsh;D. R. Heath-Brown

4308
Citations
ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS

D. R. Heath-Brown

417
Citations
Zero-free regions for Dirichlet $L$-functions, and the least prime in an arithmetic progression

D. R. Heath-Brown

330
Citations
The density of rational points on curves and surfaces

D. R. Heath-Brown

323
Citations
A mean value estimate for real character sums

D. R. Heath-Brown

295
Citations
Prime Numbers in Short Intervals and a Generalized Vaughan Identity

D. R. Heath-Brown

280
Citations
A new form of the circle method, and its application to quadratic forms.

D.R. Heath-Brown

258
Citations
Integer Sets Containing No Arithmetic Progressions

D. R. Heath‐Brown

253
Citations
The Fourth Power Moment of the Riemann Zeta Function

D. R. Heath-Brown

245
Citations
The size of Selmer groups for the congruent number problem

D. R. Heath-Brown

216
Citations
The distribution and moments of the error term in the Dirichlet divisor problem

D. R. Heath-Brown

202
Citations
The Pjateckiĭ-S̆apiro prime number theorem

D.R. Heath-Brown

184
Citations
Cubic Forms in Ten Variables

D. R. Heath-Brown

176
Citations
Fractional Moments of the Riemann Zeta‐Function

D. R. Heath-Brown

160
Citations
Hybrid Bounds for Dirichlet L-Functions.

D. R. Heath-Brown

152
Citations
The size of Selmer groups for the congruent number problem, II

Unknown

142
Citations
THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION

D. R. Heath-Brown

133
Citations
The distribution of Kummer sums at prime arguments.

D.R. Heath-Brown;S.J. Patterson

127
Citations
The square sieve and consecutive square-free numbers

D. R. Heath-Brown

127
Citations
The number of primes in a short interval.

D.R. Heath-Brown

123
Citations
Lattice points in the sphere

D. R. Heath-Brown

106
Citations

Frequent Co-Authors

Henryk Iwaniec Rutgers, The State University of New Jersey

Igor E. Shparlinski University of New South Wales

Cheryl E. Praeger University of Western Australia

Leonard M. Adleman University of Southern California

External Links

Wikipedia of D. R. Heath-Brown Personal website of D. R. Heath-Brown

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