Geometry and Topology
The geometry and topology videos and links are ordered in terms of math background they require. The first video requires no math background, explains the idea of a regular tessellation in different dimensions and geometries and, inspired by Thurston, uses pictures rather than equations. The last video - Thurston's lecture - shows how amazing his intuition about geometry was and still uses no equation but is a bit harder to understand.Graduation talk
Further links
- David Futer's explanation of hyperbolic geometry in layman terms
- "Knot Not" -- a visual delight explaining why the complement of the Boromean rings is hyperbolic
- Bill Thurson's Lecture "The Mystery of 3-Manifolds"
Algebra
- Bernd Sturmfels' Lecture on Gröbner Bases
Life of a mathematician: Shiing-Shen Chern
陳省身
- A biographical video about Shiing-Shen Chern beautifully bridging Chern's mathematical achivements with his extraordinary personality and Chinese heritage
Humor
- Armstrong and Miller's Physics Special
- Vi Hart's Doodling in Math Class: Connecting Dots