Polynomial Methods and Incidence Theory

DOI10.1017/9781108959988zbMath1505.51001OpenAlexW4220996664MaRDI QIDQ5862006

Adam Sheffer

Publication date: 3 March 2022

Full work available at URL: https://doi.org/10.1017/9781108959988

zbMATH Keywords

combinatorial geometryincidence geometrypolynomial methodjoints problemfinite field Kakeya problemdistinct distances problem

Mathematics Subject Classification ID

Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions (26-01) Erd?s problems and related topics of discrete geometry (52C10) Arithmetic progressions (11B25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to combinatorics (05-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

\(L^2\) bounds for a maximal directional Hilbert transform ⋮ The Multivariate Schwartz--Zippel Lemma ⋮ Improved bounds for the expected number of \(k\)-sets ⋮ Few cuts meet many point sets ⋮ A point-conic incidence bound and applications over \(\mathbb{F}_p\) ⋮ Maximal subspace averages

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