  In this article we consider irrotational gravity water waves with finite
bottom. Our goal is two-fold. First, we represent the equations in holomorphic
coordinates and discuss the local well-posedness of the problem in this
context. Second, we consider the small data problem and establish cubic
lifespan bounds for the solutions. Our results are uniform in the infinite
depth limit, and match the earlier infinite depth result of
Hunter-Ifrim-Tataru.
