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An Inhomogeneous Transference Principle and Diophantine Approximation. Proc. Lond. Math. Soc. 101(3):821-851.. 2010.
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.
Metrical Diophantine approximation for quaternions. Mathematical Proceedings of the Cambridge Philosophical Society (to appear).. In Press.
Number theory and dynamical systems. London Mathematical Society Lecture Note Series.. 1989.
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.
Diophantine approximation and coloring. Amer. Math. Monthly.. In Press.
Incomplete Kloosterman sums and multiplicative inverses in short intervals. Int. J. Number Theory. 9. 2013.
Numerators of differences of nonconsecutive Farey fractions. Int. J. Number Theory. 6(3). 2010.
Density of orbits of semigroups of endomorphisms acting on the Adeles. New York J. Math.. 19. 2013.
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.
Metrical musings on Littlewood and friends. Proc. Amer. Math. Soc.. 142(2). 2014.
Equivalence classes of codimension one cut-and-project nets. Ergodic Theory Dyn. Syst... In Press.
Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals. Advances in Mathematics. 252C. 2014.
The Duffin-Schaeffer Conjecture with extra divergence. Mathematische Annalen . 353(2):259-273.. 2012.
Inhomogeneous approximation by coprime integers. New York J. Math.. 18. 2012.
Intermediate convergents and a metric theorem of Khinchin. Bull. Lond. Math. Soc.. 41. 2009.
Tools and techniques in Diophantine approximation. Department of Mathematics. Ph.D.:154.. 2006.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD