Explore Persi Diaconis' tribute lecture on Haar-distributed random matrices, honoring the memory of Elizabeth Meckes. Delve into Meckes' extensive research on Haar measure properties in classical compact groups and their applications to high-dimensional geometry. Gain insights into her contributions to quantum chaos and her influential book. Discover recent developments in the field and learn about high-order contact proofs. This 36-minute talk, presented at the Hausdorff Center for Mathematics, offers a comprehensive review of Meckes' work and discusses new results in the context of her research legacy.