Abstract: Moduli of Higgs bundles has played a key role in many directions in algebra, geometry, and physics after it was introduced by Hitchin in the 80’s. In these three lectures, I will discuss some recent progress concerning the cohomology of the moduli of Higgs bundles from various perspectives: non-abelian Hodge theory, enumerative geometry, motives and algebraic cycles, etc. We will summarize some new tools and discuss open questions. I will try to make each lecture as independent as possible.