Madonna released her first single in 1982, and in one guise or another she has been with us ever since — ubiquitous but also astonishing, when you consider the usual fleeting arc of pop stardom. How has she done it, and how have her various personae shaped or reflected the culture she inhabits? These are among the questions the renowned biographer Mary Gabriel takes up in her latest book, “Madonna: A Rebel Life,” which casts new light on its subject’s life and career.

On this week’s episode, the host Gilbert Cruz chats with Gabriel about all things Madonna, and revisits the context of the 1980s’ music industry that she conquered.