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Roger Heath-Brown

Prof. Roger Heath-Brown FRS

MA, Ph.D
Status
Emeritus

Professor of Pure Mathematics (Retired)

 

Contact form
CV
+44 1865 273584
Research groups
  • Number Theory
  • Cryptography

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

Recent books
Arithmetic and geometry Dieulefait, L Faltings, G Heath-Brown, D Manin, Y Moroz, B Wintenberger, J (01 Jan 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.

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

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