Abstract: The study of equitable coloring began with a conjecture of Erdős in 1964, and it was formally introduced by Meyer in 1973. An equitable $k$-coloring of a graph $G$ is a proper $k$-coloring of $G$ such that the sizes of the color classes differ by at most one. In 2003 Kostochka, Pelsmajer, and West introduced a list analogue of equitable coloring, called equitable choosability. Specifically, given lists of available colors of size $k$ at each vertex of a graph $G$, a proper list coloring is equitable if each color appears on at most $\lceil |V(G)|/k \rceil$ vertices. Graph $G$ is equitably $k$-choosable if such a coloring exists whenever all the lists have size $k$. In this talk we introduce a new list analogue of equitable coloring which we call proportional choosability. For this new notion, the number of times we use a color must be proportional to the number of lists in which the color appears. Proportional $k$-choosability implies both equitable $k$-choosability and equitable $k$-colorability, and the graph property of being proportionally $k$-choosable is monotone. We will discuss proportional choosability of graphs with small order, completely characterize proportionally 2-choosable graphs, and illustrate some of the techniques we have used to prove results. This is joint work with Hemanshu Kaul, Michael Pelsmajer, and Benjamin Reiniger.