Explore the fascinating intersection of computational topology and complex biological systems in this 33-minute conference talk by Professor Heather Harrington. Discover how algorithms developed by Harrington and her team interpret and quantify data from molecular cell biology, genetics, and medicine, bringing us closer to unraveling the mysteries of the human body. Learn about persistent homology and its unique perspective on biological data, from cancer tissue samples to protein structures, enabling predictions and identification of crucial factors in disease progression. Gain insights into the challenges in biology, collaboration efforts, and the pipeline for applying topological data analysis to experimental data. Follow the journey through global analysis, extensions, and pattern recognition in this captivating exploration of mathematics and biology.