Abstract: The space \overline{M_{g,n}} is a compactification of the moduli space of algebraic curves with marked points, obtained by allowing smooth curves to degenerate to nodal ones. We describe how the asymptotic behavior of its homology, H_i(\overline{M_{g,n}}), for n>>0 can be studied using tools from representation theory. Specifically, we will discuss a connection between the homology of moduli space and the category of finite sets and surjections.