I think we need to separate the academic institution of mathematics from the practice of math as a human passion. When it comes to people working on math problems out of a sense of fun and curiosity AI doesn't really block them. People who are interested trying to understand math and even crack unsolved problems will always exist.

The question is if our academic institutions are able to properly support such people and enable them to do the best that they can. AI destabilizes the way we've operated in the past. So academia has to change a lot if it hopes to continue to be a place that fosters mathematical talent.