  The focusing cubic nonlinear Schr\"odinger equation in two dimensions admits
vortex solitons, standing wave solutions with spatial structure, Qm(r,theta) =
e^{i m theta} Rm(r). In the case of spin m = 1, we prove there exists a class
of data that collapse with the vortex soliton profile at the log-log rate. This
extends the work of Merle and Rapha\"el, (the case m = 0,) and suggests that
the L2 mass that may be concentrated at a point during generic collapse may be
unbounded. Difficulties with m >= 2 or when breaking the spin symmetry are
discussed.
