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Professor Roger Heath-Brown
MA, Ph.D
- Professor of Pure Mathematics
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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
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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):
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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. 11D88
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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)
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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)
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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)
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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)
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MR2865901 Erratum: "On Chevalley-Warning theorems'' [MR2847793].
(Russian) Uspekhi Mat. Nauk 66 (2011), no. 3(399), 207. 11T23 (11P05)
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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
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MR2765564 Heath-Brown, D. R.; Huxley, M. N. George Greaves, 1941–2008.
Bull. Lond. Math. Soc. 43 (2011), no. 1, 203–205. 01A70
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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)
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MR2753656 Heath-Brown, D. R. Bounds for the cubic Weyl sum.
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 377 (2010), Issledovaniya po Teorii Chisel. 10, 199--216, 244--245; translation in J. Math. Sci. (N. Y.) 171 (2010), no. 6, 813–823 (Reviewer: S. W. Graham) 11L15 (11L07)
More publications
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