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
    isogeny graphs are
    (+1)(\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

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