In this paper, we present a novel approach for computing the large genus asymptotics of intersection numbers. Our strategy is based on a resurgent analysis of the n-point functions of such intersection numbers, which are computed via determinantal formulae, and relies on the presence of a quantum curve. With this approach, we are able to extend the recent results of Aggarwal for Witten–Kontsevich intersection numbers with the computation of all subleading corrections, proving a conjecture of Guo–Yang, and to obtain new results on r-spin and Theta-class intersection numbers.

We consider a two-dimensional analog of Jacobi theta functions and prove that, among all lattices $\Lambda \subset \mathbb {R}^2$ with fixed density, the minimal value is maximized by the hexagonal lattice. This result can be seen as the inhomogeneous counterpart to Montgomery’s 1988 result, which proved that the hexagonal lattice minimizes the maximum.