 The OTT-Antonsson ansatz provides analytical solutions for coupled phase oscillators in the presence of both coupling and common noise. The noise can either lead to synchronization or desynchronization depending on the strength of the coupling. When the coupling is strong enough, the noise will tend to synchronize the oscillators, but when the coupling is weak, the noise can cause the oscillators to drift apart. In the case of identical oscillators, the fully synchronized state is stable for small repulsive coupling, while the asynchronous state is unstable. However, for oscillators with a distribution of natural frequencies, the opposite effect occurs, the fully synchronized state becomes unstable as the coupling increases. This effect disappears when the noise is removed. This article was authored by Anastasia V. Pimenova, Dennis S. Goldebin, Michael Rosenblum, and others.