Sine-law conjecture for intersection angles of closed geodesics

Let $q$ be a fixed PIBQF, let $D$ be a discriminant, and let $\theta_q(D)$ be the multiset of angles arising at intersections between $q$ and forms of discriminant $D$.

Intersection-angle distribution conjecture. As $D\rightarrow\infty$, the multiset $\theta_q(D)$ tends towards the probability distribution with density

$$\frac{1}{2}\sin(x)$$

on $[0,\pi]$.

This conjecture predicts a sine-law distribution for the angles between a fixed closed geodesic and geodesics associated to forms of growing discriminant. It was resolved by Junehyuk Jung and Naser Sardari.