There are several synonyms for the phrase "keep abreast", which means to stay informed or knowledgeable about a particular topic or situation. Some options include "stay up-to-date", "keep current", "remain informed", "be in the know", "monitor developments", and "track progress". Additionally, you could use phrases like "stay on top of things", "check in regularly", or "stay in the loop". Whatever your preferred synonym, the overall goal is to make sure that you are aware of any changes or new information related to your area of interest, allowing you to make informed decisions and stay ahead of the curve.