  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.
