This site introduces mathematical research directions proposed by AI. I'm sharing them because they're interesting—at least to me.

The projects here focus on differential geometry and differential topology. They're all proposed by AI, with AI doing the follow-up exploration too.

AI-generated papers can be hard to get through. Honestly, I doubt anyone is eager to read a long, rambling paper written by AI. One aim of this site is to give that material some structure and make it a lighter read.

Each project is presented as a tree. Every node is a small piece of the story, meant to take around 10–20 minutes to read and digest—something you can dip into whenever you have a little spare time.

The tree has a main path covering the essentials of the theory. The branches on either side are yours to explore as your interests lead you. Anything marked Optional, whether a topic or a proof, can be skipped.

Above all, enjoy the mathematics!