Context-oriented programming (COP) introduces dedicated abstractions for the modularization and dynamic composition of crosscutting context-specific functionality. While existing COP languages offer constructs for control-flow specific composition, they do not yet consider the explicit representation of event-specific context-dependent behavior, for which we observe two distinguishing properties: First, context can affect several control flows. Second, events can establish new contexts asynchronously. In this paper, we propose new language constructs for event-specific composition and explicit context representation and introduce their implementation in JCop, our COP extension to Java.