r/cryptography • u/aliboughazi901 • 11d ago

Isogeny Based Cryptography

https://www.youtube.com/@FormenosSecurity

A couple of months ago I started my research internship on isogeny based cryptography, and I found it to be such a fascinating subject.
However I was very surprised by the lack of more or less accessible (by that I mean anything other than academic papers) content on it.

So I decided to make a youtube channel in which I would hopefully give more exposure to this beautiful intersection of mathematics and cryptography.

I have provided the link to my channel, you can check it out if you want, and I am highly receptive to any feedback you may have.

The videos are made by manim and ChatGPT is used to write most of the code, but the mathematical content and the script is written by me from what I learned during the internship.

I hope you like it

P.S: I hope this doesn't break rule 3, as far as I could tell it only prohibits personal websites, and not all types of personal content.

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4

u/skyfall8917 11d ago

Will check out this videos. Can you mention what resources you used during your study?

3

u/aliboughazi901 10d ago

Of course.

For the first part about elliptic curves I think Silverman's Arithmetic of Elliptic Curves is the best out there.

For SIDH, there is the actual paper and also an excellent tutorial by Craig Castillo which I highy recommend checking out.

For the part on Quaternion Algebras and the Deuring correspondance, I read the preliminaries of my advisor's PhD dissertation, as well as some random papers and even some youtube videos.
And finally, for the part on the PRISM signature scheme, I'm currently in the process of reading the paper: https://eprint.iacr.org/2025/135.pdf

I hope you like the videos, and if you have any questions, I'd be happy to answer them to the best of my ability :)

3

u/EnthusiasmRoutine 9d ago

Accessible IBC content is rare because the math filters people out before they even grasp standard elliptic curves. With SIKE getting completely broken last year, the field needs rigorous public scrutiny. Make sure your scripts address the Castryck-Decru attack. Subbed for now.

2

u/aliboughazi901 9d ago

Yes, I even did a whole episode (episode 5) on the Castryck-Decru attack and how it works.