The superconducting state of the cuprates in the presence of a magnetic fie
ld has been investigated very actively in the past few years through measur
ements of electrical and thermal transport, ac conductivity, specific heat,
and other quantities. The observed behavior is not well understood; it pro
bes the nature of quasiparticies, vortices, and their interactions in a sup
erconductor with nodes in the pair amplitude. We summarize here experimenta
l results and our attempts to understand the phenomena, (C) 1999 Academic P
ress.