The Center for Atmosphere Ocean Science (CAOS) is an interdisciplinary research and graduate program within the Courant Institute of Mathematical Sciences. The mission of the Center is to bridge the gap between the theoretical advances in those branches of applied mathematics relevant to geophysical flows, and the understanding of phenomena observed in the climate system. The research expertise within the Courant Institute that is directly relevant to the kinds of problems addressed within atmospheric and oceanic sciences includes partial differential equations, numerical analysis, turbulence, fluid dynamics, dynamical systems and chaos, statistical mechanics, adaptive meshes, visualization and data mining, to name a few. Associated and core faculty in CAOS are active members of the international science community in all of the scientific disciplines intersecting with the mission of the Center, including dynamical meteorology, physical oceanography and climate dynamics. The placement of the Center within the Courant environment, and the diverse constituent faculty of the Center itself, creates the potential for important advances in the climate sciences.