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Erdos Distinct Distance Problem in the Plane - Larry Guth
20. Roth's theorem III: polynomial method and arithmetic regularity
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Jonathan Hickman "Kakeya maximal estimates via real algebraic geometry"
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The polynomial method in combinatorial incidence geometry
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Polynomial Patterns in Finite Fields: a Dynamical Point of View - Ethan M Ackelsberg
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Marina Iliopoulou (Kent): A discrete Kakeya-type inequality