The quark-gluon plasma produced in heavy-ion collisions provides unique access to many-body phenomena in QCD. This high temperature phase of QCD matter can be studied through its interactions with high-energy partons, called jets, that are also produced in these collisions. We will discuss some of the modern advances and challenges of studying the quark-gluon plasma using the phenomenology of the modification of the structure of jets. A promising avenue forward is to dig into the detailed structure of jets by studying them splitting-by-splitting. I will discuss the unique phenomenology of one particular such splitting, gluon splitting to charm quarks.