Publications
Approximating rational points on surfaces. arXiv preprint arXiv:2403.02480. Retrieved from http://arxiv.org/abs/2403.02480
. (2024). . (2023).
Rational approximation on cubic hypersurfaces. Algebraic Geometry (to appear). Retrieved from arXiv preprint arXiv:2310.01640
. (2023). Codimension two integral points on some rationally connected threefolds are potentially dense. J. Algebraic Geometry, 31, 345-386.
. (2022). Approximating rational points on toric varieties. Transactions of the American Mathematical Society, 374, 3557–3577.
. (2021). 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). What fraction of an Sn-orbit can lie on a hyperplane?. Linear Algebra and its Applications, 613, 1–23. North-Holland.
. (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). Exact synthesis of single-qubit unitaries over Clifford-cyclotomic gate sets. Journal of Mathematical Physics, 56. AIP Publishing.
. (2015). Seshadri constants, diophantine approximation, and Roth’s theorem for arbitrary varieties. Inventiones mathematicae, 200, 513–583. Springer Berlin Heidelberg.
. (2015). Ideals of degree one contribute most of the height. Algebra & Number Theory, 6, 1223–1238. Mathematical Sciences Publishers.
. (2012). 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). Density of rational points on diagonal quartic surfaces. Algebra & Number Theory, 4, 1–20. Mathematical Sciences Publishers.
. (2010). K3 surfaces, rational curves, and rational points. Journal of Number Theory, 130, 1470–1479. Academic Press.
. (2010). Patterns and periodicity in a family of resultants. Journal de théorie des nombres de Bordeaux, 21, 215–234.
. (2009). On the error terms and exceptional sets in conjectural second main theorems. The Quarterly Journal of Mathematics, 59, 487–498. Oxford University Press.
. (2008). Straight line embeddings of cubic planar graphs with integer edge lengths. Journal of Graph Theory, 58, 270–274. Wiley Subscription Services, Inc., A Wiley Company Hoboken.
. (2008).