Magic angles refer to a remarkable theoretical (Bistritzer--MacDonald,
2011) and experimental (Cao et al 2018) discovery, that two sheets of
graphene twisted by certain (magic) angles display unusual electronic
properties such as superconductivity. Mathematically, this is related to
having flat bands of non trivial topology for the corresponding periodic
Hamiltonian and their existence was shown in the chiral model of twisted
bilayer graphene (Tarnopolsky-Kruchkov-Vishwanath, 2019). A spectral
characterizationof magic angles (Becker-Embree-Wittsten-Z, 2021,
Galkowski-Z,2023) also produces complex values and the distribution of
their reciprocals looks remarkably like a distribution of scattering
resonances, with the real magic angles corresponding to anti-
boundstates. I will provide a gentle introduction to the subject and
highlight some recent results. The talk is based on joint works with 
S Becker, M Embree, J Galkowski, M Hitrik, T Humbert, 
Z Tao, J Wittsten and H Zeng.