In this Scholar Spotlight we feature three former scholars: Michael Hanchard (Social Science), Jo Nelson (Mathematics), and Tracy Slatyer (Natural Sciences). They explain how and why the environment at IAS nourishes independent thinkers and prompts scholars to ask questions that push the boundaries of knowledge.

Symplectic and contact structures first arose in the study of classical mechanical systems, allowing one to describe the time evolution of both simple and complex systems such as springs, planetary motion, and wave propagation. Understanding the evolution and distinguishing transformations of these systems led to the development of global invariants of symplectic and contact manifolds.