linhvn
Joined 4 years ago
Joined 4 years ago
In a just world, I may concur with third, but don't let the perfect be the enemy of good.
For example, here are two topics that came up during my time solving combinatorics problems in the past:
https://en.wikipedia.org/wiki/Parking_function
https://www.sciencedirect.com/science/article/pii/S0012365X0...
If a conjecture can be one-shotted by OpenAI Astra, I have a hard time believing it is interesting.
This has happened numerous times in the past, and it will happen over and over again.
In the age of AI, there's no reason one has to follow the kind of classes like Algebra, Topology or PDE. Teach just enough so that good students can understand the basic, and go straight into seminar and research math. I don't think a top student in sophomore year cannot understand or work on some combinatorics research problem and get some results, with proper mentoring and guidance.
https://gist.github.com/ll931110/985a4ec711c6711b120846be05e...