  We establish global well-posedness and scattering for solutions to the
defocusing mass-critical (pseudoconformal) nonlinear Schr\"odinger equation
$iu_t + \Delta u = |u|^{4/n} u$ for large spherically symmetric $L^2_x(\R^n)$
initial data in dimensions $n\geq 3$. After using the reductions in
\cite{compact} to reduce to eliminating blowup solutions which are almost
periodic modulo scaling, we obtain a frequency-localized Morawetz estimate and
exclude a mass evacuation scenario (somewhat analogously to \cite{ckstt:gwp},
\cite{RV}, \cite{thesis:art}) in order to conclude the argument.
