prime numbers

4 posts

The Birch and Swinnerton-Dyer conjecture

11 min read
Scicomm Science Birch and Swinnerton-Dyer conjecture Bryan Birch EDSAC 2 elliptic curve cryptography elliptic curves L-function Millennium Prize modular arithmetic Peter Swinnerton-Dyer prime numbers rational numbers Shafarevich-Tate group

On Monday night, I kid you not, I dreamt of the Birch and Swinnerton-Dyer conjecture. It was only by name, a fleeting mention in a heated conversation I was having with a friend. I'm not sure w…

The symmetry incarnations

10 min read
Scicomm anastomosis asymptote Banach-Tarski paradox Big Bang Theory cellular automata degrees of freedom electro-weak symmetry breaking fractals Gilbreath's conjecture hypercube Large Hadron Collider Mandelbrot sets Mulliken symbols Nambu-Goldstone bosons prime numbers surface tension symmetry thermodynamics V.S. Ramachandran

This post was originally published on October 6, 2012. I recently rediscovered it and decided to republish it with a few updates. Geometric symmetry in nature is often a sign of unperturbedness, as i…

The Symmetry Incarnations - Part I

11 min read
Uncategorized anastomosis asymptote Banach-Tarski paradox Big Bang Theory cellular automata degrees of freedom electro-weak symmetry breaking fractals Gilbreath's conjecture hypercube Large Hadron Collider Mandelbrot sets Mulliken symbols Nambu-Goldstone bosons prime numbers surface tension symmetry thermodynamics V.S. Ramachandran

Symmetry in nature is a sign of unperturbedness. It means nothing has interfered with a natural process, and that its effects at each step are simply scaled-up or scaled-down versions of each other. F…