Iolo Jones, a PhD student at Durham University, explores the cutting-edge field of geometric data analysis. He reveals how diffusion geometry surpasses traditional methods in analyzing tumor histology data. The conversation dives into the challenges of high-dimensional data, the importance of geometric properties in medical diagnostics, and the innovative integration of AI in data analysis. Jones also shares insights into the trials of research, the creative aspects of mathematics, and the future of complex mathematical concepts impacting real-world applications.