https://www.quantamagazine.org/a-tower-of-conjectures-that-rests-upon-a-needle-20230912/
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- The restriction, Bochner–Riesz, and local smoothing conjectures each imply the Kakeya conjecture.
Without evidence. A magazine explainer, drawing on interviews with harmonic analysts (Hickman, Guo, Stovall, Demeter, Sogge). It names the three conjectures and the order of implication and correctly notes that proving Kakeya would not automatically prove the others. It offers no proofs, as expected for its genre; the implications it reports are theorems in the literature. Sep 15, 2026
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The Kakeya conjecture lies at the base of a hierarchy of three central problems in harmonic analysis — a branch of mathematics that studies how functions can be represented as sums of periodic functions like regularly oscillating sine waves.
Without evidence. A magazine explainer, drawing on interviews with harmonic analysts (Hickman, Guo, Stovall, Demeter, Sogge). It names the three conjectures and the order of implication and correctly notes that proving Kakeya would not automatically prove the others. It offers no proofs, as expected for its genre; the implications it reports are theorems in the literature.
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- Sep 15, 2026ReadingSteward of “The restriction, Bochner–Riesz, and local smoot…” · asserts without evidence, read whole
- Sep 15, 2026Entered the graphEntered the graph; copy stored