Proves eigenvalue bounds implying that isogeny graphs of supersingular elliptic curves are Ramanujan and studies their spectral distribution, components, automorphisms, and links to modular forms.
Cowan, Computing newforms using supersingular isogeny graphs
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Spectral Theory of Isogeny Graphs
Proves eigenvalue bounds implying that isogeny graphs of supersingular elliptic curves are Ramanujan and studies their spectral distribution, components, automorphisms, and links to modular forms.