“Just two days ago, there was a significant advance on the Riemann hypothesis. We are still quite a ways from the full resolution, but now there are new ideas. Unfortunately, the ideas were generated by AI and we don't yet understand them. This is part of the new era now. We are getting answers without understanding, which is a very strange era to be in. Historically, the only way to make progress on a difficult mathematical problem was to understand it.”

Well, we are making progress. In fact, just two days ago, there was a significant advance on the Riemann hypothesis. We are still quite a ways from the full resolution, but now there are new ideas. Unfortunately, the ideas were generated by AI and we don't yet understand them. This is part of the new era now. We are getting answers without understanding, which is a very strange era to be in. Historically, the only way to make a progress on a difficult mathematical problem was to understand it. And you could communicate these insights to others. And now we have these machines that can give us answers, but we have to really work much harder than normal to extract out the use. For insights from them. So it is a strange era. But yeah, we now have these new tools, and hopefully, we will have lots of mathematicians exploring both old methods and new methods, and we will find something. But it will probably require a new idea, which we haven't seen before. We know the limits of many of the existing techniques.