Publications

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[ Author(Asc)] Title Type Year
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McKinnon, D. . (2023). Rational approximation on cubic hypersurfaces. arXiv preprint arXiv:2310.01640.
McKinnon, D. , & Satriano, M. . (2023). ERRATUM FOR APPROXIMATING RATIONAL POINTS ON TORIC VARIETIES.
McKinnon, D. , & Roth, M. . (2022). Codimension two integral points on some rationally connected threefolds are potentially dense. J. Algebraic Geometry, 31, 345-386.
McKinnon, D. , Razafy, R. , Satriano, M. , & Sun, Y. . (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 ….
McKinnon, D. , & Satriano, M. . (2021). Approximating rational points on toric varieties. Transactions of the American Mathematical Society, 374, 3557–3577.
McKinnon, D. . (2019). Counting rational points on ruled varieties over function fields.
McKinnon, D. , & Zhu, Y. . (2018). The arithmetic puncturing problem and integral points. arXiv preprint arXiv:1806.03180.
McKinnon, D. . (2016). 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
McKinnon, D. , & Roth, M. . (2016). An analogue of Liouville’s theorem and an application to cubic surfaces. European Journal of Mathematics, 2, 929–959. Springer International Publishing Cham.
McKinnon, D. , & Roth, M. . (2015). Seshadri constants, diophantine approximation, and Roth’s theorem for arbitrary varieties. Inventiones mathematicae, 200, 513–583. Springer Berlin Heidelberg.
McKinnon, D. . (2011). Vojta's conjecture implies the Batyrev–Manin conjecture for K 3 surfaces. Bulletin of the London Mathematical Society, 43, 1111–1118. Oxford University Press.
McKinnon, D. . (2007). A conjecture on rational approximations to rational points. Journal of Algebraic Geometry, 16, 257-303.
McKinnon, D. , & Roth, M. . (2007). Curves arising from endomorphism rings of Kronecker modules. The Rocky Mountain Journal of Mathematics, 879–892. The Rocky Mountain Mathematics Consortium.
McKinnon, D. . (2004). A reduction of the Batyrev-Manin conjecture for Kummer surfaces. Canadian Mathematical Bulletin, 47, 398–406. Cambridge University Press.
McKinnon, D. . (2004). Counting rational points on ruled varieties. Canadian Mathematical Bulletin, 47, 264–270. Cambridge University Press.
McKinnon, D. . (2003). Vojta’s main conjecture for blowup surfaces. Proceedings of the American Mathematical Society, 131, 1–12.
McKinnon, D. . (2001). An arithmetic analogue of Bezout's theorem. Compositio Mathematica, 126, 147–155. London Mathematical Society.
McKinnon, D. . (2000). Counting rational points on K3 surfaces. Journal of Number Theory, 84, 49–62. Academic Press.
McKinnon, D. Kerr. (1999). Counting rational points of bounded height on algebraic varieties. University of California, Berkeley.
Magidin, A. , & McKinnon, D. . (2005). Gauss's lemma for number fields. The American Mathematical Monthly, 112, 385–416. Taylor & Francis.

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