The totally asymmetric simple exclusion process (TASEP) is a certain interacting particle system. Let P(X, Y; t) denote the transition probability of moving from position X of a system into another position Y in time t. The transition probability satisfies the Kolmogorov forward equation. In this talk, I will present the solution to this equation using the coordinate Bethe method. No prerequisites are needed for this talk. Speaker(s): Tejaswi Tripathi (University of Michigan)