U.S. presidential elections often drive many citizens to vote
strategically—to vote for a candidate they do not like in hope of
preventing someone they dislike even more from winning. Many who
favored Ralph Nader in the 2000 election ended up voting...
We give a survey of recent results on conjectures of Heath-Brown
and Serre on the asymptotic density of rational points of bounded
height. The main tool in the proofs is a new global determinant
method inspired...