  We study the blow-up dynamics for the energy-critical 1-corotational wave
maps problem with 2-sphere target. In arXiv:0911.0692, Rapha\"el and Rodnianski
exhibited a stable finite time blow-up dynamics arising from smooth initial
data. In this paper, we exhibit a sequence of new finite-time blow-up rates
(quantized rates), which can still arise from well-localized smooth initial
data. We closely follow the strategy of the paper arXiv:1301.1859 by Rapha\"el
and Schweyer, who exhibited a similar construction of the quantized blow-up
rates for the harmonic map heat flow. The main difficulty in our wave maps
setting stems from the lack of dissipation and its critical nature, which we
overcome by a systematic identification of correction terms in higher-order
energy estimates.
