# Profile

# Simion Filip

#### Assistant Professor

Department of Mathematics and the College

Simion Filip studies dynamical systems and their interactions with other parts of mathematics, such as algebra and geometry. Dynamical systems evolve in time according to a predetermined rule, and mathematicians would like to understand their long-term behavior. For example, consider a billiard ball dipped in ink and sliding indefinitely and without friction on a billiard table: what pattern will it trace out over long periods of time? Filip’s work is concerned with the geometric structures that are used to understand such dynamical systems.

His research has appeared in *Annals of Mathematics*, *Inventiones Mathematicae*, and *Duke Mathematical Journal*. He holds a five-year research fellowship from the Clay Mathematics Institute and received the Michael Brin Dynamical Systems Prize for Young Mathematicians.

Filip received a PhD in mathematics from the University of Chicago, as well as an MA in mathematics from the University of Cambridge and a BA in mathematics from Princeton University. He was a junior fellow at the Harvard Society of Fellows and, most recently, a member of the Institute for Advanced Study in Princeton, New Jersey.

Photo credit: Talia Shabtay