Alice wishes to communicate with Bob, but the malicious jammer James wishes to stop this communication from occurring. What can she do? In this talk I'll explore recent discoveries/capacity-characterizations in a variety of settings (the role of causality in James' jamming, the role of myopicity in his observations, the interplay between these two, and the effect of rate-limited feedback). I'll focus on one of the simplest non-trivial jamming channels -- the case of a binary input channel, in which James may erase a constant fraction of transmissions -- even here, interesting phenomena occur. Time permitting, I may also briefly describe generalizations to other jamming channels/scenarios.