Title:  My favorite unsolved math problems, interesting new developments in psychology, and various reasons why infinity makes me nervous

Abstract:  Mathematicians and scientists spend much of their time thinking about how to solve problems that no one knows how to solve. There are lots of cool unsolved math problems that are easy to explain and think about (even for elementary and high school students), but that are nevertheless incredibly hard for professional mathematicians to make any progress on. In this talk, I'll share a few of my favorite unsolved math problems, and discuss why they are my favorites. Along the way, we'll talk about some recent research in psychology and sociology that comes into play when people struggle to understand the mathematical unknown.