- Diophantine approximation and Hausdorff dimension in Fuchsian groups,

Geodesic excursions into cusps in infinite volume hyperbolic manifolds,
*Mathematica Gottingensis*, 45 (1993), 1-22. (with M.V Melián)

An application of metric Diophantine approximation in hyperbolic space
to Quadratic Forms,
*Publicacions Matematiques*, 38 (1994), 175-185.

Patterson measure and Ubiquity, *Ann. Acad. Sci. Fenn.*,
20:1 (1995) 37-60.

(with M.M. Dodson, M.V. Melián and D. Pestana)

Ergodic theory of shrinking targets, * Invent. math.*, 119
(1995) 175-198.

(with R. Hill)

The Patterson measure for geometrically finite groups with parabolic
elements,

new and old, *Proc. Lond. Math. Soc.*, (3) 71 (1995) 197-220.
(with B. Stratmann)

Geometrically finite groups, Khintchine-type theorems and Hausdorff
dimension,
*Math. Proc. Cam. Phil. Soc.*, 120 (1996) 647-662.

Hausdorff measure and linear forms, *J. reine angew. Math.*,
490 (1997) 1-36.

(with H. Dickinson)

Metric Diophantine Approximation in Julia sets of Expanding Rational
Maps,
*Inst. Hautes Etudes Sci. Publ. Math.*, 85 (1997) 193-216.
(with R. Hill)

Glasner sets and polynomials in primes, *Proc. Amer. Math. Soc.*,
126 (1998)

2835-2840. (with R. Nair)

The Jarník-Besicovitch theorem for geometrically finite Kleinian
groups,
*Proc. Lond. Math. Soc.*, (3) 77 (1998) 524-550. (with R. Hill)

The Shrinking Target Problem for Matrix Transformations of Tori,
*Jou. Lond. Math. Soc.*, (2) 60 (1999) 381-398 (with R. Hill)

On a problem in simultaneous Diophantine approximation: Littlewood's
conjecture,
*Acta. Math.,* 185 (2000) 287--306. (with A.D. Pollington)

Sets of exact `logarithmic' order in the theory of Diophantine
approximation,

*Math. Annalen*, 321 (2001) 253--273. (with V. Beresnevich
& H. Dickinson)

On simultaneously badly approximable pairs,

J*ou. Lond. Math. Soc*., 66 (2002) 29--40. (with A.D. Pollington)

A Zero--Infinity Law for well approximable points in Julia sets,

*Ergodic Theory & Dyn. Syst.*, 22 (2002) 1773--1782.
(with R. Hill)

Metric Diophantine approximation and `absolutely friendly' measures,

*Selecta Mathematica, *11 (2005) 297--307. (with
A.D. Pollington) ps
dvi

Measure theoretic laws for limsup sets,

*Memoirs of the AMS., *vol. 179, number 840 (2006) 1-91
.

(with V. Beresnevich & H. Dickinson) ps
dvi
pfd

Diophantine approximation and badly approximable sets,

*Advances in Math*. 203 (2006) 132-169
(with S. Kristensen & R. Thorn) ps
dvi

Diophantine approximation on planar curves: the convergence theory,

*Inventiones mathematicae,* 116 (2006) 103-124. (with
R.C. Vaughan). pfd

Diophantine approximation on planer curves and the distribution of rational points,

(to appear:

Includes an appendix: Sums of two squares near perfect squares, by R.C. Vaughan.

A Mass Transference Principle and the Duffin-Schaeffer conjecture
for Hausdorff measures,

(to appear: *Annals of Math.* (22pp)).
(with V. Beresnevich). ps dvi

Schmidt's theorem, Hausdorff measures and Slicing,

(to appear: *International Mathematics Research
Notes* (20pp)). (with V. Beresnevich). psdvi

A note on simultaneous Diophantine approximation on planar
curve,

(to appear: *Mathematische Annalen*
(23pp)). (with V. Beresnevich). psdvi