CaptP

High school student here who self-studied multivariable calculus and differential equations. I absolutely LOVE Paul's Online Math Notes.

Yes, topology in physics has some very exciting uses. My project actually studies topological quantum error correction!

As a high school student, that's actually doing quantum information physics research, I thought that I could add a unique perspective on this!

Personally, I love the sentiment behind this. It's great that there are people who are trying to make such an exciting field accessible. That being said, the importance of learning high level math cannot be understated. If students want to pursue anything impactful in physics, they require an extensive background in mathematics. If they try to learn about the current research of the field, the math in the papers will be extremely intimidating (I say this from experience!).

I think a more valuable thing to do would to make it easier to learn high level math (topology, abstract algebra) as math serves as the basis for physics. On that note, that seems like it would be an exciting project for me to embark on, with my perspective!