Math isn't ready to solve this problem

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 ___ 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