Even mathematicians make most of their daily decisions without
mathematical help, guided by reasoning and intuition that are
usually reliable. But now and then our intuition will lead us off
the rails. Can we tell when this is liable to happen, and...
Humans tend to be better at physics than at mathematics.
After all, when an apple falls from a tree, there are more
people who can catch it—they know physically how the apple
moves—than people who can compute its trajectory from a
differential...
The physicist Abrikosov predicted that in certain
superconductors, one should observe triangular lattices of
vortices, now called Abrikosov lattices. When studying ground
states of Coulomb gases, which is motivated by questions in
approximation...
