Plato's two millennia old refrain "Let no one ignorant of geometry enter" may sound decidedly quaint and outdated today, but geometric methods remain an unparalleled mathematical and computational tool in today's pursuit of science and engineering. The need for sophisticated geometric models and reasoning is stronger than ever due a growing adoption of computational and combinatorial methods in science and engineering, coupled with mobile and embedded sensing, spatial data models, location-aware services, and networks of autonomous intelligent robots. The mission of the CGC (Center for Geometric Computing) is to pursue and advance interdisciplinary applications of geometric computation, and to leverage existing strengths within the college and campus for research in Big Data, Sensor Networks, Robotics, and Social Networks.