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.
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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.