Explore the mathematical modeling of ice sheets in Greenland and Antarctica through this Oxford Mathematics Research Seminar. Delve into the complexities of ice sheet dynamics, including their movement, fluid properties, and the equations governing their behavior. Learn about the motivation behind studying ice sheets, their impact on global climate, and the challenges in predicting their future. Discover key concepts such as accumulation elevation feedback, depth-integrated models, and surface boundary layers. Gain insights into the scale of Antarctica and the role of moulins in ice sheet dynamics. This seminar provides a comprehensive look at cutting-edge research in glaciology and climate science, offering valuable knowledge for those interested in environmental mathematics and climate modeling.