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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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