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Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal.. In Press.
Simultaneous Diophantine Approximation on polynomial surfaces. Mathematika . 56:77-85.. 2010.
On shrinking targets for Z^m actions on tori. Mathematika. 56(2):10pages.. 2010.
Number theory and dynamical systems. London Mathematical Society Lecture Note Series.. 1989.
Metrical Diophantine approximation for quaternions. Mathematical Proceedings of the Cambridge Philosophical Society (to appear).. In Press.
Roots of the derivative of the Riemann zeta function and of characteristic polynomials. Nonlinearity. 23:2599--2621.. 2010.
The maximum size of $L$-functions. Journal fur die reine und angewandte Mathematik (Crelle's Journal). 609:215-236.. 2007.
A hybrid Euler-Hadamard product for the Riemann zeta function. Duke Math. J.. 136:507--549.. 2007.
Franel integrals. Sieve methods, exponential sums and their applications in number theory. :143-160.. 1996.
Deformation Quantization and Irrational Numbers. Journal of Symplectic Geometry. 12(1):1–22.. 2014.
Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals. Advances in Mathematics. 252C. 2014.
Inhomogeneous approximation by coprime integers. New York J. Math.. 18. 2012.
The metric theory of p-adic approximation. International Math Research Notices. (1). 2010.
The group ring of Q/Z and an application of a divisor problem. Proc. Amer. Math. Soc.. 137. 2009.
Equivalence relations on separated nets arising from linear toral flows. Proc. Lond. Math. Soc... In Press.
A note on Farey fractions with odd denominators. J. Number Theory. 98(1). 2003.
The mixed Littlewood conjecture for pseudo-absolute values. Math. Ann.. 357(3). 2013.
Projective metric number theory. J. Reine Angew. Math. (Crelle's Journal).. In Press.
Numerators of differences of nonconsecutive Farey fractions. Int. J. Number Theory. 6(3). 2010.
Martingale differences and the metric theory of continued fractions. Illinois J. Math.. 52(1). 2008.
The distribution of special subsets of the Farey sequence. J. Number Theory. 107(1). 2004.
Metric considerations concerning the mixed Littlewood Conjecture. Int. J. Number Theory. (3) :593-609.. 2011.
Diophantine approximation and coloring. Amer. Math. Monthly.. In Press.
Incomplete Kloosterman sums and multiplicative inverses in short intervals. Int. J. Number Theory. 9. 2013.
Density of orbits of semigroups of endomorphisms acting on the Adeles. New York J. Math.. 19. 2013.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD