the mathematics of juggling began with the task of characterizing all possible physical juggling patterns. over the past few decades this study has expanded, inspiring related questions from many areas of math. in this talk we will discuss several new probabilistic, algebraic and combinatorial results and state some unsolved problems. attendees are invited to bring chainsaws and/or lit torches for the interactive portion of the talk. light refreshments will be provided thanks to the sponsorship of the gsa.