Dreams, memory, creativity, psychosis, evolutionary survival: It's all connected, at least in the mind of Sue Llewellyn, a researcher at the University of Manchester. Llewellyn is a professor of humanities, which makes her something of an outsider in the realm of sleep-and-memory research. But her grand theory, of sorts, hinges on a notion currently seeing a scientific renaissance: We need to dream to remember. During REM sleep, our minds make sense of seemingly unrelated experiences, Llewellyn argues, thereby sparking a-ha moments that are integral to creative insights. Now, the evidence is moving to her side. One recent study similarly suggested that suppressing the brain activity underlying REM sleep impedes memory formation. We spoke to Llewellyn about her work on REM recall, madness and genius, states of "dedifferentiated" consciousness, and how it all fits together.