A Harvard mathematician argues that the rise of AI means universities need more mathematics PhD students, not fewer.

At a time when leading mathematicians are questioning how AI might transform their profession, Michael Brenner offers a contrasting perspective.

Brenner, who also works with Google, reveals that he spent five days examining the recently announced AI-assisted Navier–Stokes result.

Although he recognized substantial mathematical progress, he remained unconvinced that the argument had been fully established.

His central point is that producing a mathematical proof and establishing that it is correct are different achievements.

He argues that the rapid generation of mathematical results makes independent human expertise more important, because researchers must determine whether proofs are correct, whether their conclusions matter, and how they contribute to mathematical knowledge.

He said:

“I think the answer is that we need more graduate students, not less.”

Brenner believes AI should make graduate students more effective rather than eliminate the need to train them.

He also argues that universities have an essential responsibility to evaluate mathematical claims independently instead of treating announcements by technology companies as established discoveries.

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