Here is a map of mathematics as it stands today, mathematics as it is practiced by mathematicians.
From simple starting points — Numbers, Shapes, Change — the map branches out into interwoven tendrils of thought. Follow it, and you’ll understand how prime numbers connect to geometry, how symmetries give a handle on questions of infinity.
And although the map is necessarily incomplete — mathematics is too grand to fit into any single map — we hope to give you a flavor for the major questions and controversies that animate the field, as well as the conceptual tools needed to dive in.