We mathematicians seem to be a poorly understood species. In our classes we rarely have the opportunity to tell you, our students, the stories that made us choose this career. Very often, these stories involve questions that tickle your brain. This talk is about such questions. There are many of them, and choosing a few accessible to everyone is a tricky and biased enterprise. I thought you might be intrigued and amused by the mathematics hidden behind the behavior of 100 hyperactive blue jays, or in the old game of Nim.
Math for Everyone is a series of math-related talks and discussions, especially for undergraduates. Events conclude with snacks and refreshments. Everyone, from Fields medalists to math phobes, is welcome to attend.