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math.CO2026
Point sets determining few angles are almost contained in a line or circle
Krishnendu Bhowmick, Oliver Roche-Newton, Audie Warren
We prove a structural theorem for point sets in which determine few pinned angles. More precisely, we prove the existence of an absolute constant such that if $…
math.NT2026
More sum-product type counterexamples: products with shifts and
Oliver Roche-Newton, Carl Schildkraut, Audie Warren
Adapting the construction disproving the sum-product conjecture over present in Bloom, Sawin, Schildkraut and Zhelezov, we show the existence of a constant and ar…