Works on compression ins quite a lot
. There is a General overview
(only dated 1995 year).
Then it's simple: click on "Cited by 159" and look who's in this review refers — it will be as individual articles, and new reviews on this and related topics. Read, then see who cited these articles, and so on inland. Should start with well-cited articles; if the article made no reference to, or new, or not particularly useful.
About prospects — it is better to ask the supervisor. About current challenges/directions — it will become clear from the articles.