An introduction to the rank conjecture, an unsolved problem about elliptic curves.
ONLINE COURSE
If you're interested in learning more about this subject, I'm teaching a live online course about elliptic curves and cryptography! It will have:
a) a series of weekly live zoom calls,
b) a curated list of problems and exercises to practice the content, and
c) a supportive online community to discuss problems with.
If this is interesting to you, fill out the form below and I’ll let you know when the course is ready.
LINK TO THE FORM: https://forms.gle/FgNSSbR29sEvP3vg7
Follow me!
Twitter: @00aleph00
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MUSIC CREDITS:
The song is “Taking Flight”, by Vince Rubinetti.
https://www.vincentrubinetti.com/
00:00-00:40 Intro
00:40-2:25 The Circle
2:25-3:52 Elliptic Curves
3:52-4:40 Announcement!
4:40-7:30 Group Law
7:30-9:20 What is the rank?
9:20-11:20 Rank Conjecture
11:20-13:36 Known results