and may well pave the way to an eventual proof of the two conjectures. Either way, the spin-off is likely to make profound changes to how we think about topology, space-time and quantum field theory.

Some experts say the mutually supportive relationship between the two conjectures increases the chances that both are correct. And while this would mean singularities do stay frustratingly hidden ...

The restriction conjecture, in turn, is implied by the so-called Bochner-Riesz conjecture. And at the very top sits the local smoothing conjecture. The first two conjectures deal with the behavior of ...

Conjectures, by their nature, demand proof before they can be accepted as fact. Tiep described the challenge, saying, “A conjecture is an idea that you believe has some validity. But conjectures ...

Raskin led a nine-person team that proved the geometric portion of the Langlands conjectures, a theoretical framework for fundamental relationships between three branches of math: number theory, ...

June Huh, a professor of mathematics at Princeton University who won the 2022 Fields Medal earlier this year, has been awarded a 2022 MacArthur Fellowship for “discovering underlying connections ...

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