A. Berger

activity

20162026

11 citations · 17 across the 10 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021★ 3 cited

Non-classical polynomials and the inverse theorem

Aaron Berger, Ashwin Sah, Mehtaab Sawhney +1

In this note we characterize when non-classical polynomials are necessary in the inverse theorem for the Gowers $U^{k}$ -norm. We give a brief deduction of the fact that a bounded fun…

math.CO2021★ 2 cited

$K_{4}$ -intersecting families of graphs

Aaron Berger, Yufei Zhao

Ellis, Filmus, and Friedgut proved an old conjecture of Simonovits and Sós showing that the maximum size of a triangle-intersecting family of graphs on $n$ vertices has size at mos…

math.CO2021★ 11 cited

Popular differences for matrix patterns

Aaron Berger, Ashwin Sah, Mehtaab Sawhney +1

The following combinatorial conjecture arises naturally from recent ergodic-theoretic work of Ackelsberg, Bergelson, and Best. Let $M_{1}$ , $M_{2}$ be $k \times k$ integer matrices, $G$ …

Non-classical polynomials and the inverse theorem

K4​-intersecting families of graphs

Popular differences for matrix patterns

$K_{4}$ -intersecting families of graphs