It seems to me that training beginning PhD students to do research, which has always been hard (unless one is lucky enough, as I have often been, to have a student who just seems to get it and therefore doesn't need in any sense to be trained), has just got harder, since one obvious way to help somebody get started is to give them a problem that looks as though it might be a relatively gentle one. If LLMs are at the point where they can solve "gentle problems", then that is no longer an option.
AI解决了传统上用于训练博士生的'温和问题',这彻底改变了数学教育的入门方式,迫使研究门槛大幅提高。