# Introduction to Isogeny Cryptography Making this section as a motivation to make sure this is part of the book. Something to work towards. ## Page Plan * Describe that there is a drive towards post-quantum algorithms * The incredible fact that paths within isogeny graphs commute (with the help of torsion points) * Supersingular $$\ell$$ isogeny graphs are $$(\ell + 1)$$regular Ramanujan graphs * Using paths through these graphs has spawned a whole bunch of protocols * SIKE / BIKE / ... * Hashes * ... * First we will look at the fundementals that allow these protocols to be expected as good candidates for post-quantum * Then we look at these protocols in more detail. Hopefully with SageMath implementations for each ## References I plan to use * Introduction by Craig Costello * * Mathematics of Isogeny Based Cryptography by Luca De Feo * - * The Arithmetic of Elliptic Curves by Joseph H. Silverman *
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