Publications

Search
Author [ Title(Desc)] Type Year
A
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.
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. , & Satriano, M. . (2021). Approximating rational points on toric varieties. Transactions of the American Mathematical Society, 374, 3557–3577.
McKinnon, D. . (2001). An arithmetic analogue of Bezout's theorem. Compositio Mathematica, 126, 147–155. London Mathematical Society.
McKinnon, D. , & Zhu, Y. . (2018). The arithmetic puncturing problem and integral points. arXiv preprint arXiv:1806.03180.
C
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. . (2007). A conjecture on rational approximations to rational points. Journal of Algebraic Geometry, 16, 257-303.
McKinnon, D. Kerr. (1999). Counting rational points of bounded height on algebraic varieties. University of California, Berkeley.
McKinnon, D. . (2000). Counting rational points on K3 surfaces. Journal of Number Theory, 84, 49–62. Academic Press.
McKinnon, D. . (2004). Counting rational points on ruled varieties. Canadian Mathematical Bulletin, 47, 264–270. Cambridge University Press.
McKinnon, D. . (2019). Counting rational points on ruled varieties over function fields.
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. , 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 ….
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.
E
McKinnon, D. , & Satriano, M. . (2023). ERRATUM FOR APPROXIMATING RATIONAL POINTS ON TORIC VARIETIES.
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.
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.
G
Magidin, A. , & McKinnon, D. . (2005). Gauss's lemma for number fields. The American Mathematical Monthly, 112, 385–416. Taylor & Francis.
I
Levin, A. , & McKinnon, D. . (2012). Ideals of degree one contribute most of the height. Algebra & Number Theory, 6, 1223–1238. Mathematical Sciences Publishers.
K
Baragar, A. , & McKinnon, D. . (2010). K3 surfaces, rational curves, and rational points. Journal of Number Theory, 130, 1470–1479. Academic Press.

Pages