Publications and Preprints
New results about the classical Duffin-Schaeffer Conjecture, in preparation.
Distribution functions related to the Farey sequence, in preparation.
Farey fractions with denominators in arithmetic progressions, in preparation.
Numerators of differences of nonconsecutive Farey fractions, submitted.
Intermediate convergents and a metric theorem of Khinchin, submitted.
(with K. Homma) The group ring of Q/Z and an application of a
divisor problem, Proc. Amer. Math. Soc., to appear, 7 pp.
(with J. Vaaler), Martingale differences and the metric theory of continued
fractions, Illinois Journal of Mathematics, to appear, 29 pp.
Tools and techniques in Diophantine approximation, Ph.D. thesis,
The University of Texas at Austin, 154 pp.
The distribution of special subsets of the Farey sequence,
J. Number Theory, 107 (2004), no.1, 95-104.
A note on Farey fractions with odd denominators,
J. Number Theory, 98 (2003), no.1, 89-104.