Daniel Altman

activity

20162026

most citedOn a conjecture of Gowers and Wolf

1 citations · 1 across the 6 of their papers we have counts for

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math.NT2026

Randomly piercing algebraic sets

Daniel Altman, Nathan Tung

We show, for example, that if one samples \[\frac{\log p}{2\log(1+(p-1)^{-1})} \cdot n^2(1 + o_{n\to \infty}(1))\] points in $F_{p}^{n}$ at random then asymptotically almost s…

math.NT2021★ 1 cited

On a conjecture of Gowers and Wolf

Daniel Altman

Gowers and Wolf have conjectured that, given a set of linear forms ${ψ_{i}}_{i = 1}^{t}$ each mapping $Z^{D}$ to $Z$ , if $s$ is an integer such that the functions $ψ_1^…

math.NT2019

On Szemerédi's theorem with differences from a random set

Daniel Altman

We consider, over both the integers and finite fields, Szemerédi's theorem on $k$ -term arithmetic progressions where the set $S$ of allowed common differences in those progressions…