Symmetry, Algebra and the Monster — Quanta Magazine
I’m excited to announce the launch of my column for Quanta Magazine! In Quantized Academy I’ll be writing about the fundamental mathematical ideas that underlie Quanta’s stories on cutting edge science and research. Quanta consistently produces exciting, high-quality science journalism, and it’s a tremendous honor to be a part of it.
My debut column, Symmetry, Algebra and the Monster, uses the symmetries of the square to explore the basic group theory that connects algebra and geometry.
You could forgive mathematicians for being drawn to the monster group, an algebraic object so enormous and mysterious that it took them nearly a decade to prove it exists. Now, 30 years later, string theorists — physicists studying how all fundamental forces and particles might be explained by tiny strings vibrating in hidden dimensions — are looking to connect the monster to their physical questions. What is it about this collection of more than 10^53 elements that excites both mathematicians and physicists?
The full article is freely available here.