Publications
Rational approximation on cubic hypersurfaces. arXiv preprint arXiv:2310.01640.
. (2023). . (2023). Codimension two integral points on some rationally connected threefolds are potentially dense. J. Algebraic Geometry, 31, 345-386.
. (2022). On curves with high multiplicity on P (a, b, c) for min (a, b, c). NEW YORK JOURNAL OF MATHEMATICS, 27, 1060–1084. ELECTRONIC JOURNALS PROJECT UNIV ALBANY, DEPT MATHEMATICS & SCIENCE, ALBANY ….
. (2021). Approximating rational points on toric varieties. Transactions of the American Mathematical Society, 374, 3557–3577.
. (2021). . (2019). The arithmetic puncturing problem and integral points. arXiv preprint arXiv:1806.03180.
. (2018). PDF file containing tables of generators of various cones in the Néron-Severi group of a smooth cubic surface. Retrieved from https://www.math.uwaterloo.ca/~dmckinno/Papers/cubictable.pdf
. (2016). An analogue of Liouville’s theorem and an application to cubic surfaces. European Journal of Mathematics, 2, 929–959. Springer International Publishing Cham.
. (2016). Seshadri constants, diophantine approximation, and Roth’s theorem for arbitrary varieties. Inventiones mathematicae, 200, 513–583. Springer Berlin Heidelberg.
. (2015). Vojta's conjecture implies the Batyrev–Manin conjecture for K 3 surfaces. Bulletin of the London Mathematical Society, 43, 1111–1118. Oxford University Press.
. (2011). A conjecture on rational approximations to rational points. Journal of Algebraic Geometry, 16, 257-303.
. (2007). Curves arising from endomorphism rings of Kronecker modules. The Rocky Mountain Journal of Mathematics, 879–892. The Rocky Mountain Mathematics Consortium.
. (2007). A reduction of the Batyrev-Manin conjecture for Kummer surfaces. Canadian Mathematical Bulletin, 47, 398–406. Cambridge University Press.
. (2004). Counting rational points on ruled varieties. Canadian Mathematical Bulletin, 47, 264–270. Cambridge University Press.
. (2004). Vojta’s main conjecture for blowup surfaces. Proceedings of the American Mathematical Society, 131, 1–12.
. (2003). An arithmetic analogue of Bezout's theorem. Compositio Mathematica, 126, 147–155. London Mathematical Society.
. (2001). . (2000). Counting rational points of bounded height on algebraic varieties. University of California, Berkeley.
. (1999). . (2005).