Recorded 28 January 2026. Ilia Binder of the University of Toronto presents "Computability and Complexity in Complex Analysis: from 2007 to 2026" at IPAM's New Interactions Between Probability and Geometry Workshop. Abstract: In this talk, I will provide an overview of progress over the past two decades in understanding the computability and complexity of various concepts in Complex Analysis, including conformal maps, harmonic measure, and Carathéodory extension. This presentation is based on collaborative projects with M. Braverman, A. Glucksam, C. Rojas, and M. Yampolsky. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/new-interactions-between-probability-and-geometry/?tab=overview