[FFHL] (with A. A. Zhigljavsky) On the distribution of Farey fractions and hyperbolic lattice points, Periodica Math. Hungarica, 42 (2001), 191-198. The numerator and denominator of a Farey fraction don’t correlate with its position on the line. This tells you about the orbit of an interesting point in hyperbolic space under the action of the modular group.

[IPES] Integer points, exponential sums and the Riemann zeta function, Number Theory for the Millennium, A. K. Peter, Natick 2002, vol II, 275-290. Partly a survey, partly a follow-up to [ESLP III] on the mean square of the zeta function.

[ESLP III] Exponential sums and lattice points III, Proc. London Math. Soc (3) 87 (2003), 591-609. Contains the best estimates in the Gauss circle problem and the Dirichlet divisor problem. Follows on from [ESRZ V].

[RPCC IV] The rational points close to a curve IV, Bonner Math. Schriften 360 (2003), 36pp. Continues [RPCC III], so there are different denominators. Not so close to the curve, major arcs appear.

[RPCC III] The rational points close to a curve III, Acta Arithmetica 113 (2004), 15-30. Unlike [RPCC II], the x- and y-coordinates can be fractions with different denominators, so it’s less geometry, more approximation theory.

[RCBI] Resonance curves in the Bombieri-Iwaniec method, Functiones et Approximatio 32 (2004), 7-49. Comparing different local quadratic spline approximations to a certain plane curve. This is the technical bit extracted from [ESRZ V] to get the weight down.

[NDDP] With J. Zunic, On the number of digitisations of a disc depending on its position, Springer Lecture Notes in Comp. Sci., 3322 (2004), 219-231. A conference announcement. Don’t read this. I’m shy. The corrected result is in [DDDD].

 [IPSC] The integer points close to a space curve, Proceedings of Conference on Diophantine Approximations, Trudy Institit Matematiki (Minsk), 13 (2005), 94-113. Uses both the real-analytic and the exponential sums methods.

[ESRZ V] Exponential sums and the Riemann zeta function V, Proc. London Math. Soc (3) 90 (2005), 1-41. Contains the best estimate for the Lindel”of problem. Originally a long preprint including [RCBI]; splitting it caused a delay in publication.

[PEVC II] with P. Sargos, Points entiers au voisinage d’une courbe plane de classe C^n II, Functiones et Approximatio 35 (2006), 91-115. This belongs earlier in the “Integer Points” series, but joint papers always take longer. If you want to know what happens when you don’t return page proofs promptly, look carefully at the running heads.

[GMPA] with R. Klette and J. Zunic, Precision of geometric moments in picture analysis, In Geometric Properties from Incomplete data, Springer 2006, 221-235. The start of a fruitful collaboration.

[HZRO] Is the Hlawka zeta function a respectable object? A.M.S. Proc. Symposia Pure Math. 75 (2006), 225-230. Yes in analytic number theory, no in representation theory. Includes a survey of recent results on lattice points, some still to be published.

[DDDD] with J. Zunic, Different digitisations of displaced discs, Foundations of Computational Math., 6 (2006), 255-268. The number of ways a moving circle can appear on a digital camera or computer screen.

[NNDD] with J. Zunic, The number of N-point digital discs, IEEE Trans. Pattern analysis and Machine Intelligence 29 (2007), 3pp. Using Reidemeister moves to get an upper bound of the correct order of magnitude.

[IPPC] The integer points in a plane curve, Functiones et Approximatio 37 (2007), 7-25. Mostly written on sabbatical in Nancy in 2002. Combines Bombieri and Pila’s method  with ideas from approximation theory.

[SRZD] with A. Ivic, Subconvexity for the Riemann zeta function and the divisor problem, Bull. Serb. Acad. 2007. A section of mine on the Bombieri-Iwaniec method in a general survey article.