We will see how topologists can discover theorems in arithmetic. I will present two collections of results from topology and arithmetic, and explain how one viewpoint reflects on the other by giving at least two examples: (1) how braid groups and Burau representations (topology) would help one to count points on algebraic curves over finite fields (arithmetic), and (2) how topology would lead to generalizations of the well-known analogy between integers and polynomials over finite fields, and results about "analytic number theory for effective 0-cycles on varieties over finite fields". Speaker(s): Weiyan Chen (University of Chicago)