The discovery of a Higgs boson at the LHC marks both the culmination of a decades-long quest for the final piece of the Standard Model and the dawn of a new era in the search for more fundamental physics. Ten years after its discovery, many questions about the Higgs particle are still unanswered. In this seminar, I will first give a brief overview of the open questions on Higgs physics for the next decade. Then I will focus on the possibility that the Higgs carries a non-zero amount of CP violation (CPV). I will explore the complementary ways to probe a CPV Higgs boson, both at the high-energy and high-intensity frontiers.