Prof. Roger Heath-Brown FRS

MA, Ph.D

Status

Emeritus

Professor of Pure Mathematics (Retired)

+44 1865 273584

Contact form

Research groups

Number Theory

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent books

Arithmetic and Geometry (08 Oct 2015)

The theory of the Riemann Zeta-function Titchmarsh, E (1986)

Recent publications

Density of rational points on a quadric bundle in P 3 × P 3

Browning, T Duke Mathematical Journal volume 169 issue 16 3099-3165 (01 Nov 2020)

The geometric sieve for quadrics

Browning, T Heath-Brown, D Forum Mathematicum volume 33 issue 1 147-165 (07 Oct 2020)

RATIONAL POINTS ON INTERSECTIONS OF CUBIC AND QUADRIC HYPERSURFACES

Browning, T Dietmann, R Heath-Brown, D Journal of the Institute of Mathematics of Jussieu volume 150 issue 8 703-749 (01 Oct 2020) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000361061200002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

The differences between consecutive primes, V

Heath-Brown, D International Mathematics Research Notices volume 2021 issue 22 17514-17562 (14 Dec 2019)

Irreducible polynomials over finite fields produced by composition of quadratics

Heath-Brown, D Micheli, G Revista Matemática Iberoamericana volume 35 issue 3 847-855 (15 Apr 2019)

Prizes, awards, and scholarships

Junior Berwick Prize, London Mathematical Society, 1981. Fellow of the Royal Society, 1993. Senior Berwick Prize, London Mathematical Society, 1996. Corresponding Member, Akademie der Wissenschaften zu Gottingen, Math.-Phys. Klasse, 1999. Polya Prize, London Mathematical Society, 2009. Royal Society Sylvester Medal, 2022. OBE, 2024.

Highlighted publications

Bounds for the cubic Weyl sum

Heath-Brown, D Journal of Mathematical Sciences volume 171 issue 6 813-823 (01 Dec 2010)

Zeros of p-adic forms

Heath-Brown, D Proceedings of the London Mathematical Society volume 100 issue 2 560-584 (01 Mar 2010)

Zeros of systems of p-adic quadratic forms

Heath-Brown, D Compositio Mathematica volume 146 issue 2 271-287 (01 Mar 2010)

Sums and differences of three kth powers

Heath-Brown, D Journal of Number Theory volume 129 issue 6 1579-1594 (01 Jun 2009)

Convexity bounds for L-functions

Heath-Brown, D Acta Arithmetica volume 136 issue 4 391-395 (28 May 2009)

Research interests

Analytic Number Theory; The distribution of primes, Sieves, Analytic methods in Diophantine Geometry