[aleph_minus_one]

> Step 1: Solve the entire mathematical field of https://en.wikipedia.org/wiki/Topology

There exists an insane amount of questions in topology that have (by our current understanding) nothing to do with CAD or even computational geometry.

> These are genuinely hard problems that mathematicians have been working on for decades.

The hard problems that mathematicians in topology work on are nearly always very different from what you think modern topology is about.