Explore a comprehensive lecture on dependent stopping times and their application to credit risk theory, presented by Alejandra Quintos Lima, a Ph.D. candidate in Statistics from Columbia University. Delve into key concepts such as stopping times, compensators, Cox construction, and instantaneous default. Examine the interpretation of joint distributions and the generalization to K stopping times. Discover how these concepts apply to credit risk, including measures of systemic risk, constant default intensities, and catastrophic market failure. Learn about the impact of changing economic states and bank balance sheets on credit risk models. This 59-minute talk, part of the Brooklyn Quant Experience Lecture Series at New York University, offers valuable insights for those interested in advanced statistical methods and their practical applications in finance.