Department of Pure Mathematics University of Waterloo Waterloo, Ontario, Canada N2L 3G1 Office: MC 5306 Telephone: 519-888-4567 ext. 36020 Fax number: 519-725-0160 Email David McKinnon | |

David McKinnonOffice Hours: |

Pure Math Seminars

PDF file containing tables of generators of various cones in the Néron-Severi group of a smooth cubic surface

- McKinnon, David; Razafy, Rindra; Satriano, Matthew; Sun, Yuxuan, "On curves with high multiplicity on P(a, b, c) for min(a, b, c)≤4" (in submission)
- McKinnon, David; Roth, Michael, "Codimension two integral points on some rationally connected threefolds are potentially dense", to appear in
*J. Algebraic Geom.* - McKinnon, David; Satriano, Matthew, "Approximating rational points on toric varieties", to appear in
*Trans. AM. Math. Soc.* - Huang, Jiahui; McKinnon, David; Satriano, Matthew, "What fraction of an S
_{n}-orbit can lie on a hyperplane", to appear in*Linear Algebra Appl.* - McKinnon, David; Zhu, Yi, "The arithmetic puncturing problem and integral points" (preprint).
- McKinnon, David; Roth, Michael, "An analogue of Liouville's Theorem and an application to cubic surfaces",
*Eur. J. Math.*2 (2016), no. 4, 929--959. DOI:10.1007/s40879-016-0113-5 - Forest, Simon; Gosset, David; Kliuchnikov, Vadym; McKinnon, David, "Exact synthesis of single-qubit unitaries over Clifford-cyclotomic gate sets",
*J. Math. Phys.*56, 082201 (2015), DOI: 10.1063/1.4927100 - McKinnon, David; Roth, Michael, "Seshadri constants, Diophantine approximation, and
Roth's Theorem for arbitrary varieties",
*Invent. Math.*200 (2015), no. 2, 513-583. - Levin, Aaron; McKinnon, David, "Ideals of degree one contribute most of the height",
*Algebra Number Theory*6 (2012), no. 6, 1223--1238. - McKinnon, David, "Vojta's Conjecture implies the Batyrev-Manin Conjecture for K3 surfaces",
*Bull. Lond. Math. Soc.*43 (2011), no. 6, 1111--1118. - Logan, Adam; McKinnon, David; van Luijk, Ronald, "Density of rational points on diagonal quartic surfaces",
*Algebra Number Theory*4 (2010), no. 1, 1--20. - Baragar, Arthur; McKinnon, David, "K3 surfaces, rational curves, and rational points",
*Journal of Number Theory***130**(2010) pp. 1470--1479. - Hare, Kevin; McKinnon, David; Sinclair, Chris, "Patterns and Periodicity in a Family of Resultants",
*J. Théor. Nombres Bordeaux*21 (2009), no. 1, 215--234. - Geelen, Jim; Guo, Anjie; McKinnon, David, "Straight line embeddings of cubic planar graphs with integer edge lengths"
*J. Graph Theory***58**(2008), no. 3, 270--274. - Levin, Aaron; McKinnon, David; Winkelmann, Jörg, "On the error terms and exceptional sets in conjectural Second Main Theorems",
*Q. J. Math.*59 (2008), no. 4, 487--498. - McKinnon, David, "Counting rational points on ruled varieties over function fields" (preprint)
- McKinnon, David, and Roth, Michael, "Curves arising from endomorphism rings of Kronecker modules",
*Rocky Mountain J. Math.,***37**(2007), no. 3, 879-892. - McKinnon, David, "A conjecture on rational approximations to rational points",
*J. Algebraic Geom.,***16**(2007), 257-303. - Magidin, Arturo, and McKinnon, David, "Gauss's Lemma for number fields",
*Amer. Math. Monthly***112**(2005), no. 5, 385-416. - Etgü, Tolga; McKinnon, David; Park, B. Doug, "Lagrangian tori in homotopy elliptic surfaces",
*Trans. Amer. Math. Soc.***357**(2005), 3757-3774. - McKinnon, David, "A Reduction of the Batyrev-Manin Conjecture for Kummer surfaces",
*Canad. Math. Bull.*,**47**(2004), no. 3, 398-406. - McKinnon, David, "Counting rational points on ruled varieties",
*Canad. Math. Bull.*,**47**(2004), no. 2, 264-270. - McKinnon, David, "Vojta's Main Conjecture for blowup surfaces",
*Proc. Amer. Math. Soc.***131**(2003), no. 1, 1-12. - McKinnon, David, "An arithmetic analogue of Bezout's Theorem",
*Compositio. Math.***126**(2001), no. 2, 147-155. - McKinnon, David, "Counting rational points on K3 surfaces"
*J. Number Theory***84**(2000), no. 1, 49-62.

This page was last updated October 16, 2020.