The role of mathematics in science has been transformed over the last few decades. Emerging applications in information science, nanosystems, multiscale and multiphysics problems, bioinformatics and other fields have required new kinds of mathematics, both pure and applied. Since its inception in 2000, the Institute for Pure and Applied Mathematics (IPAM) has catalyzed the interaction of mathematics with science. IPAM’s programs bring together researchers from both pure and applied mathematics and statistics, and from physical science, information and computer science, life science, engineering, social science, and humanities, to form new research communities. This workshop will assess the current state and the future of interdisciplinary mathematics and science. Speakers from academia, government and industry will present research results related to programs from IPAM’s first ten years. Two public lectures and a panel discussion will provide an overview of interdisciplinary mathematics and science and IPAM’s role in this exciting endeavor.