Publications
Published articles
- On Manin's conjecture for a certain singular cubic surface
(with R. de la Breteche and T. D. Browning)
Annales Scientifiques de l'École Normale Supérieure 40 (2007), no. 1, pp. 1-50
[doi:10.1016/j.ansens.2006.12.002] [Preprint: arXiv:math.NT/0509370]
- On a constant arising in Manin's conjecture for Del Pezzo surfaces
Mathematical Research Letters 14 (2007), no. 3, pp. 481-489
[abstract] [PDF] [Preprint: arXiv:math.NT/0702549]
- Universal torsors of Del Pezzo surfaces and homogeneous spaces
Advances in Mathematics 213 (2007), no. 2, pp. 849-864
[doi:10.1016/j.aim.2007.01.012] [Preprint: arXiv:math.AG/0604195]
- Universal torsors over Del Pezzo surfaces and rational points
(with Yu. Tschinkel)
in: Equidistribution in Number Theory, An Introduction - Proceedings of the NATO Advanced Study Institute on Equidistribution in Number Theory, Montreal, Canada, 11-22 July 2005. A. Granville, Z. Rudnick (Eds.) in: NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 237, Springer, Dordrecht, 2007, pp. 169-196
[doi:10.1007/978-1-4020-5404-4_9] [Preprint: arXiv:math.NT/0604193]
- The nef cone volume of generalized Del Pezzo surfaces (with M. Joyce and Z. Teitler)
Algebra & Number Theory 2 (2008), no. 2, pp. 157-182
[doi:10.2140/ant.2008.2.157] [Preprint: arXiv:math.AG/0703202]
- Counting integral points on universal torsors
International Mathematics Research Notices IMRN (2009), no. 14, pp. 2648-2699
[doi:10.1093/imrn/rnp030] [Preprint arXiv:0810.4122]
- Manin's conjecture for a cubic surface with D5 singularity (with T. D. Browning)
International Mathematics Research Notices IMRN (2009), no. 14, pp. 2620-2647
[doi:10.1093/imrn/rnp029] [Preprint: arXiv:0807.4733]
- Manin's conjecture for a quartic del Pezzo surface with A4 singularity (with T. D. Browning)
Annales de l'Institut Fourier 59 (2009), no. 3, pp. 1231-1265
[doi:10.5802/aif.2462] [Preprint: arXiv:0710.1560]
- Singular del Pezzo surfaces that are equivariant compactifications (with D. Loughran)
Proceedings of Hausdorff Trimester on Diophantine equations in: Zapiski Nauchnykh Seminarov (POMI) 377 (2010), pp. 26-43 and Journal of Mathematical Sciences 171 (2010), no. 6, pp. 714-724
[Abstract] [PDF] [doi:10.1007/s10958-010-0174-9] [Preprint: arXiv:0910.2717]
