Professor Roger Heath-Brown

MA, Ph.D

Professor of Pure Mathematics
Head of Number Theory Group

eMail: Roger [dot] Heath-Brown [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form

CV: rhbcv.pdf

Phone Number(s):

Reception: +44 1865 273525
Direct: +44 1865 273535

Office: N1.22

Departmental Address:

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

Research Interests:

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

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 Göttingen, Math.-Phys. Klasse, 1999. Pólya Prize, London Mathematical Society, 2009.

Recent Publications (from MathSciNet):

MR3104987 Bui, H. M.; Heath-Brown, D. R. On simple zeros of the Riemann zeta-function. Bull. Lond. Math. Soc. 45 (2013), no. 5, 953–961. 11M26
PDF Clipboard Journal Article
MR3074808 Heath-Brown, D. R. $p$p-adic zeros of systems of quadratic forms. Diophantine methods, lattices, and arithmetic theory of quadratic forms, 131–139, Contemp. Math., 587, Amer. Math. Soc., Providence, RI, 2013. (Reviewer: B. Sury) 11D88
PDF Clipboard Series Chapter
MR3032094 Heath-Brown, D. R. Power-free values of polynomials. Q. J. Math. 64 (2013), no. 1, 177–188. (Reviewer: Olivier Bordellès) 11A25 (11C08 11N37)
PDF Clipboard Journal Article
MR2989431 Browning, T. D.; Heath-Brown, D. R. Quadratic polynomials represented by norm forms. Geom. Funct. Anal. 22 (2012), no. 5, 1124–1190. (Reviewer: Liang-Chung Hsia) 14G05 (11D57 14G25)
PDF Clipboard Journal Article
MR2982423 Heath-Brown, D. R. Square-free values of $n^2+1$n^2+1. Acta Arith. 155 (2012), no. 1, 1–13. (Reviewer: George W. Grossman) 11N32 (11D45)
PDF Clipboard Journal Article
MR2922342 Heath-Brown, D. R.; Pierce, Lillian B. Counting rational points on smooth cyclic covers. J. Number Theory 132 (2012), no. 8, 1741–1757. (Reviewer: Yasuhiro Goto) 14G05 (11D45 11L40)
PDF Clipboard Journal Article
MR2865901 Erratum: "On Chevalley-Warning theorems'' [MR2847793]. (Russian) Uspekhi Mat. Nauk 66 (2011), no. 3(399), 207. 11T23 (11P05)
PDF Clipboard Journal Article
MR2847793 Khis-Braun, D. R. On Chevalley-Warning theorems. (Russian) Uspekhi Mat. Nauk 66 (2011), no. 2(398), 223--232; translation in Russian Math. Surveys 66 (2011), no. 2, 427–436 (Reviewer: Alexey A. Glibichuk) 11T30
PDF Clipboard Journal Article
MR2765564 Heath-Brown, D. R.; Huxley, M. N. George Greaves, 1941–2008. Bull. Lond. Math. Soc. 43 (2011), no. 1, 203–205. 01A70
PDF Clipboard Journal Article
MR2827794 Heath-Brown, D. R. Artin's conjecture on zeros of $p$p-adic forms. Proceedings of the International Congress of Mathematicians. Volume II, 249–257, Hindustan Book Agency, New Delhi, 2010. (Reviewer: Detlev W. Hoffmann) 11D88 (11D72 11E08 11E76 11E95)
PDF Clipboard Series Chapter

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Professor Roger Heath-Brown

Professor Roger Heath-Brown

Mathematical Institute

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