Department of Pure Mathematics
University of Waterloo
Waterloo, Ontario, Canada
N2L 3G1
Office: MC 5423
Telephone: 519-888-4567 ext. 35560
Fax number: 519-725-0160
Email David McKinnon
David McKinnon
Office Hours:
Tuesdays 10:00-11:30
Wednesdays 10:00-11:30
Office Hours CANCELLED for Tuesday, July 18 and Wednesday, July 19
Office Hours Monday, July 17 from 1:00 to 3:00
Research
Geometry and Topology Seminar Speaker List
Pure Math Seminars
PDF file containing tables of generators of various cones in the Néron-Severi group of a smooth cubic surface
Publications
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,
"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
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.
Teaching (Spring 2017)
Not teaching this term
This page was last updated July 16, 2017.