The purpose of this page is to list the papers that are related to the recent polynomial method / algebraic method.
- “On the size of Kakeya sets in finite fields” by Dvir.
- “Algebraic methods in discrete analogs of the Kakeya problem” by Guth and Katz.
- “On lines and Joints” by Kaplan, Sharir, and Shustin.
- “The joints problem in “ by Quilodrán.
- “On Lines, Joints, and Incidences in Three Dimensions” by Elekes, Kaplan, and Sharir ().
- “Incidences in Three Dimensions and Distinct Distances in the Plane” by Elekes and Sharir (,,).
- “On the Erdos distinct distance problem in the plane” by Guth and Katz (,,,).
- “Simple Proofs of Classical Theorems in Discrete Geometry via the Guth–Katz Polynomial Partitioning Technique” by Kaplan, Matoušek, and Sharir (,).
- “An improved bound on the number of point-surface incidences in three dimensions” by Zahl (,).
- “On an application of Guth-Katz theorem” by Iosevich, Roche-Newton, and Rudnev (,).
- “An incidence theorem in higher dimensions” by Solymosi and Tao (,).
- “Unit Distances in Three Dimensions” by Kaplan, Matoušek, Safernova, and Sharir (,).
- “Three-point configurations determined by subsets of via the Elekes-Sharir paradigm” by Bennett, Iosevich, and Pakianathan (,).
- “A Szemeredi-Trotter type theorem in “ by Zahl (,).
- “On the Minkowski distances and products of sum sets” by Roche-Newton and Rudnev (,).
- ” Counting joints with multiplicities” by Iliopoulou ().
- “On the number of classes of triangles determined by points in “ by Rudnev ().
- “Improved bounds for incidences between points and circles” by Sharir, Sheffer, and Zahl (,).
- “On Range Searching with Semialgebraic Sets II “ by Agarwal, Matoušek, and Sharir ().
- “A note on distinct distance subsets” by Charalambides ().
- “Distinct distances on two lines” by Sharir, Sheffer, and Solymosi (,,).
- “On lattices, distinct distances, and the Elekes-Sharir framework” by Cilleruelo, Sharir, and Sheffer (,).
- “Distinct distances from three points” by Sharir and Solymosi (,,).
- “Exponent gaps on curves via rigidity” by Charalambides ().
- “Distinct Distances on Algebraic Curves in the Plane” by Pach and de Zeeuw (,,).
- “Few distinct distances implies no heavy lines or circles” by Sheffer, Zahl, and de Zeeuw (,,,).
- “Bounds of incidences between points and algebraic curves” by Wang, Yang, and Zhang (,).