The Department of Mathematics at the University of Chicago is one of the most exciting places in the world to do mathematics. We have over 30 tenured and tenure-track faculty working in areas as various as combinatorics, algebraic geometry, number theory, pure and applied analysis, representation theory, probability, geometry, topology, dynamical systems, logic, and financial mathematics, along with a similar number of Dickson Instructors. The research environment in the department is very lively, with seminars meeting virtually every day of the week and a constant stream of visitors. In addition, the department hosts regular colloquia, and several annual lecture series, including the Adrian Albert Lectures in Algebra, the Zygmund-Calderón Lectures in Analysis, the Charles J. Amick Memorial Lectures in Applied Mathematics, the Unni Namboodiri Lectures in Geometry and Topology, the Patrick Billingsley Lecture in Probability (joint with the Statistics Department), and the newly established ZhengTong Chern-Weil Symposium in Mathematics.