Combinatorics is the study of discrete objects and their configurations. It has connections to a variety of areas in pure mathematics, particularly algebra, geometry, and topology, and has applications including the design of codes and circuits, modeling computation, and designing and analyzing algorithms for navigation. Researchers at CAM work on topics such as studying incentives in online systems, designing algorithms to find near-optimal solutions to hard discrete optimization problems, determining good ways to send information through networks, and organizing bike-sharing systems in cities.