Publications

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Author Title [ Type(Asc)] Year
Thesis
McKinnon, D. Kerr. (1999). Counting rational points of bounded height on algebraic varieties. University of California, Berkeley.
Journal Article
Lehmann, B. , McKinnon, D. , & Satriano, M. . (2024). Approximating rational points on surfaces. arXiv preprint arXiv:2403.02480. Retrieved from http://arxiv.org/abs/2403.02480
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.
Huang, J. , McKinnon, D. , & Satriano, M. . (2021). What fraction of an Sn-orbit can lie on a hyperplane?. Linear Algebra and its Applications, 613, 1–23. North-Holland.
McKinnon, D. , & Zhu, Y. . (2018). The arithmetic puncturing problem and integral points. arXiv preprint arXiv:1806.03180.
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.
Forest, S. , Gosset, D. , Kliuchnikov, V. , & McKinnon, D. . (2015). Exact synthesis of single-qubit unitaries over Clifford-cyclotomic gate sets. Journal of Mathematical Physics, 56. AIP Publishing.
McKinnon, D. , & Roth, M. . (2015). Seshadri constants, diophantine approximation, and Roth’s theorem for arbitrary varieties. Inventiones mathematicae, 200, 513–583. Springer Berlin Heidelberg.
Levin, A. , & McKinnon, D. . (2012). Ideals of degree one contribute most of the height. Algebra & Number Theory, 6, 1223–1238. Mathematical Sciences Publishers.
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.
Baragar, A. , & McKinnon, D. . (2010). K3 surfaces, rational curves, and rational points. Journal of Number Theory, 130, 1470–1479. Academic Press.
Logan, A. , McKinnon, D. , & van Luijk, R. . (2010). Density of rational points on diagonal quartic surfaces. Algebra & Number Theory, 4, 1–20. Mathematical Sciences Publishers.
Hare, K. G. , McKinnon, D. , & Sinclair, C. D. . (2009). Patterns and periodicity in a family of resultants. Journal de théorie des nombres de Bordeaux, 21, 215–234.
Levin, A. , McKinnon, D. , & Winkelmann, J. . (2008). On the error terms and exceptional sets in conjectural second main theorems. The Quarterly Journal of Mathematics, 59, 487–498. Oxford University Press.
Geelen, J. , Guo, A. , & McKinnon, D. . (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.

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