The Sonic Booms in Atmospheric Turbulence (SonicBAT) project concluded in 2018. The overall goal of SonicBAT was to develop tools to predict the influence of atmospheric turbulence on shaped sonic booms for newly proposed low-boom supersonic passenger aircraft. There was a substantial experimental component to obtain statistically-useful datasets of recorded sonic booms in both dry and humid environments. The project was carried out by a large team, and the authors of this paper are a small subset of the individuals involved. The purpose of this presentation is to highlight some of the main findings of SonicBAT and to provide pointers to the primary technical report and other publications that are now becoming available, both from SonicBAT and from subsequent findings. Overall, SonicBAT was successful in developing multiple ways of predicting the influence of atmospheric turbulence on the propagation of arbitrarily shaped sonic boom waveforms as they propagate through the earth's planetary boundary layer. The influence of turbulence is profound for N-wave sonic booms but is reduced for low-boom sonic boom signatures.