In recent years it has become clear that the methods of topology, the mathematical study of shape, can be used to advantage in obtaining understanding of large and complex data sets. Biological data of various kinds are particularly interesting from this point of view. I will discuss the methods from topology, with numerous examples. You can register for this talk using the "register" link on the right side of the page. All MBI Online Colloquium talks allow for live virtual participation, and are also streamed to the MBI Auditorium, 355 Jennings Hall.