A one-line lower bound for prime counts
(Zhao Yu here). Today someone spoke about this short proof of a lower bound of the number of primes, which I found it too nice to not share.
Posts
A practical guide to the group law
(David here.) We've had at least two articles on elliptic curves so far: Zhao Yu's article talks about some neat applications across various areas of math, while Dylan's article focuses on motivating the group law. Recently, I found out that the group law can be used to tackle actual Olympiad geometry problems (!), so I thought I might write a guide as to how.
Algebra ∩ Geometry via Desargues' Involution Theorem
(David here.) Recently a problem showed up on the problems feed in the SIMO Retirees' Discord server that made me take a second look at Desargues' Involution Theorem, and I realized it was actually the perfect starting point to discuss the interplay between geometry and algebra!