Publications

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Author [ Title(Asc)] Type Year
W
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.
V
McKinnon, D. . (2003). Vojta’s main conjecture for blowup surfaces. Proceedings of the American Mathematical Society, 131, 1–12.
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.
S
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.
McKinnon, D. , & Roth, M. . (2015). Seshadri constants, diophantine approximation, and Roth’s theorem for arbitrary varieties. Inventiones mathematicae, 200, 513–583. Springer Berlin Heidelberg.
R
McKinnon, D. . (2004). A reduction of the Batyrev-Manin conjecture for Kummer surfaces. Canadian Mathematical Bulletin, 47, 398–406. Cambridge University Press.
McKinnon, D. . (2023). Rational approximation on cubic hypersurfaces. arXiv preprint arXiv:2310.01640.
L
Etgü, T. , McKinnon, D. , & Park, B. . (2005). Lagrangian tori in homotopy elliptic surfaces. Transactions of the American Mathematical Society, 357, 3757–3774.
K
Baragar, A. , & McKinnon, D. . (2010). K3 surfaces, rational curves, and rational points. Journal of Number Theory, 130, 1470–1479. Academic Press.
I
Levin, A. , & McKinnon, D. . (2012). Ideals of degree one contribute most of the height. Algebra & Number Theory, 6, 1223–1238. Mathematical Sciences Publishers.
G
Magidin, A. , & McKinnon, D. . (2005). Gauss's lemma for number fields. The American Mathematical Monthly, 112, 385–416. Taylor & Francis.
E
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.
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.
McKinnon, D. , & Satriano, M. . (2023). ERRATUM FOR APPROXIMATING RATIONAL POINTS ON TORIC VARIETIES.
D
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.
C
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. , & 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. . (2019). Counting rational points on ruled varieties over function fields.

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