Title: A Mathematician's Groundhog Day: Prove, reflect, and repeat
Abstract: What might a mathematician do if they were forced to relive the same day over and over, much like Bill Murray in the classic movie Groundhog Day? Wouldn't boredom set in after proving the same theorem over and over? Not if they use different techniques each time! In this talk, we will discuss why mathematicians might be interested in proving one result in many ways. We'll explore multiple proofs for a variety of theorems that are typically encountered by undergraduate mathematics students. In particular, we will encounter several visually-inspired proofs that encourage alternate ways of thinking about pure mathematical ideas.