Partition and analytic rank are equivalent over large fields

Bias vs Structure of Polynomials in Large Fields, and Applications in Information Theory

(2022) Abhishek Bhowmick et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Applications of Algebraic Combinatorics to Algebraic Geometry

(2021) David Kazhdan et al.   INDAGATIONES MATHEMATICAE-NEW SERIES

The partition rank of a tensor and k-right corners in Fqn

(2020) Eric Naslund   JOURNAL OF COMBINATORIAL THEORY SERIES A

Polynomial bound for partition rank in terms of analytic rank

(2019) Luka Milićević   GEOMETRIC AND FUNCTIONAL ANALYSIS

Small subalgebras of polynomial rings and Stillman’s conjecture

(2019) Tigran Ananyan et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Strength conditions, small subalagebras, and Stillman bounds in degree $\leq $4

(2019) Tigran Ananyan et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Cubics in 10 variables vs. cubics in 1000 variables: Uniformity phenomena for bounded degree polynomials

(2018) Daniel Erman et al.   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Approximate cohomology

(2017) David Kazhdan et al.   Selecta Mathematica-New Series

Finite field models in arithmetic combinatorics – ten years on

(2015) J. Wolf   FINITE FIELDS AND THEIR APPLICATIONS

Variety Evasive Sets

(2013) Zeev Dvir et al.   COMPUTATIONAL COMPLEXITY

Equivalence of polynomial conjectures in additive combinatorics

(2012) Shachar Lovett   COMBINATORICA

The Inverse Conjecture for the Gowers Norm over Finite Fields in Low Characteristic

(2011) Terence Tao et al.   Annals of Combinatorics

Linear Forms and Higher-Degree Uniformity for Functions On $${\mathbb{F}^{n}_{p}}$$

(2011) W. T. Gowers et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

Sum-product estimates for rational functions

(2011) Boris Bukh et al.   PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

An Inverse Theorem for the Uniformity Seminorms Associated with the Action of \mathbb {F}^{\infty}_{p

(2010) Vitaly Bergelson et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

Pseudorandom Bits for Polynomials

(2010) Andrej Bogdanov et al.   SIAM JOURNAL ON COMPUTING

The inverse conjecture for the Gowers norm over finite fields via the correspondence principle

(2010) Terence Tao et al.   Analysis & PDE

AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

(2008) Ben Green et al.   PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY