  There has been much recent work on the spectrum of the random non-hermitean
Hamiltonian which models the physics of vortex line pinning in superconductors.
This note is loosely based on the talk I gave at the conference "New Directions
in Statistical Physics" held in Taipei, August 1997. We describe here new
results in spatial dimensions higher than one. We also give an expression for
the spectrum within the WKB approximation.
