On well-rounded ideal lattices - II
  We study well-rounded lattices which come from ideals in quadratic number fields, generalizing some recent results of the first author with K. Petersen. In particular, we give a characterization of ideal well-rounded lattices in the plane and show that a positive proportion of real and imaginary quadratic number fields contains ideals giving rise to well-rounded lattices. 
Lenny Fukshansky, Glenn Henshaw, Philip Liao, Matthew Prince, Xun Sun,   Samuel Whitehead
math.NT