Alain Goriely, Gresham Professor of Geometry and Director at the Oxford Centre for Industrial and Applied Mathematics, dives into the brain's intricate wave dynamics. He discusses the interplay of neuronal communication, revealing how oscillations influence cognitive processes. The conversation highlights fascinating concepts like the 'slowness paradox' in human memory, advanced imaging techniques, and the links between brain activity and conditions like epilepsy and depression. It's a thought-provoking exploration of how math and neuroscience intertwine.