The use of mathematics in studying the brain has had great impact on the field of neuroscience and simultaneously motivated important research in mathematics. Research aimed at understanding the nervous system has two major lines of inquiry: How is a signal from the external world represented in the brain, and what are the mechanistic models at the circuit and system levels? The program this year will address both questions. Each quarter features tutorial sessions to provide important background information as well as in-depth workshops examining the issues described. Postdocs and faculty members interested in learning more about neuronal systems and potential mathematical applications in this research are encouraged to attend.