Number one in the UK and eighth in the world in the Times Higher Education rankings of universities under 50 years old

Supporter of LMS Good Practice Award

Dr Alan Haynes

Research group:
Number Theory
PhD, UT Austin, 2006
Past staff member

RESEARCH INTERESTS

My areas of research are analytic number theory, probability theory, and dynamical systems. I study applications of real and harmonic analysis, probability theory, and ergodic theory to problems about the distribution of prime numbers and to problems about the approximation of real numbers by rationals.

TEACHING

no courses found

PUBLICATIONS

Submitted

Beresnevich V, Haynes A, Velani S.  Submitted.  Multiplicative zero-one laws and metric number theory. .

In Press

Beresnevich V, Harman G, Haynes A, Velani S.  In Press.  The Duffin-Schaeffer Conjecture with extra divergence II. Math. Z..

2012

Haynes A, Pollington A, Velani S.  2012.  The Duffin-Schaeffer Conjecture with extra divergence. Mathematische Annalen . 353(2):259-273.

2011

Haynes A, Badziahin D.  2011.  A note on Farey fractions with denominators in arithmetic progressions. Acta Arith.. 147(3):205–215.
Haynes A, Velani S, Bugeaud Y.  2011.  Metric considerations concerning the mixed Littlewood Conjecture. Int. J. Number Theory. (3) :593-609.

2010

Haynes A.  2010.  Numerators of differences of nonconsecutive Farey fractions. Int. J. Number Theory. 6(3)
Haynes A.  2010.  The metric theory of p-adic approximation. International Math Research Notices. (1)

2009

Haynes A.  2009.  Intermediate convergents and a metric theorem of Khinchin. Bull. Lond. Math. Soc.. 41
Haynes A, Homma K.  2009.  The group ring of Q/Z and an application of a divisor problem. Proc. Amer. Math. Soc.. 137

2008

Haynes A, Vaaler J.  2008.  Martingale differences and the metric theory of continued fractions. Illinois J. Math.. 52(1)

2006

Haynes A.  2006.  Tools and techniques in Diophantine approximation. Department of Mathematics. Ph.D.:154.

2004

Haynes A.  2004.  The distribution of special subsets of the Farey sequence. J. Number Theory. 107(1)

2003

Haynes A.  2003.  A note on Farey fractions with odd denominators. J. Number Theory. 98(1)

See all years

Edited 20 Apr 2011 - 13:07 by cac7

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