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In this paper we relate volumes of moduli spaces of super Riemann surfaces tointegrals over the moduli space of stable Riemann surfaces $\overline{\calM}_{g,n}$. This allows us to prove via algebraic geometry a recursion betweenthe volumes of moduli spaces of super hyperbolic surfaces previously proven viasuper geometry techniques by Stanford and Witten. The recursion between thevolumes of moduli spaces of super hyperbolic surfaces is proven to beequivalent to the fact that a generating function for the intersection numbersof a natural collection of cohomology classes $\Theta_{g,n}$ with tautologicalclasses on $\overline{\cal M}_{g,n}$ is a KdV tau function. This is analogousto Mirzakhani's proof of the Kontsevich-Witten theorem regarding a generatingfunction for the intersection numbers of tautological classes on$\overline{\cal M}_{g,n}$ using volumes of moduli spaces of hyperbolicsurfaces.

Enumerative geometry via the moduli space of super Riemann surfaces