Z. Hunter

activity

20242026

most citedAlmost-full transversals in equi-

n

-squares

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.CO2026

A Halász-type theorem for permutation anticoncentration

Zach Hunter, Cosmin Pohoata, Daniel G. Zhu

Given a set $A = {a_{1}, \dots, a_{n}}$ of real numbers and real coefficients $b_{1}, \dots, b_{n}$ , consider the distribution of the sum obtained by pairing the $a_{i}$ 's with the $b_{i}$ 's acc…

math.PR2025

On random matrices with large corank

Zach Hunter, Matthew Kwan, Lisa Sauermann +1

Let $1 \leq k \leq n$ and $M$ be a random $n \times n$ matrix with independent uniformly random ${\pm 1}$ -entries. We show that there exists an absolute constant $c > 0$ such that \[\…

math.PR2025

Exponential anticoncentration of the permanent

Zach Hunter, Matthew Kwan, Lisa Sauermann

Let $A \in R^{n \times n}$ be a random matrix with independent entries, and suppose that the entries are "uniformly anticoncentrated" in the sense that there is a constant $\…

math.CO2024★ 1 cited

Almost-full transversals in equi- $n$ -squares

Debsoumya Chakraborti, Micha Christoph, Zach Hunter +2

In 1975, Stein made a wide generalisation of the Ryser-Brualdi-Stein conjecture on transversals in Latin squares, conjecturing that every equi- $n$ -square (an $n \times n$ array fill…

math.CO2024

New lower bounds for $r_{3} (N)$

Zach Hunter

We develop recent ideas of Elsholtz, Proske, and Sauermann to construct denser subsets of ${1, \dots, N}$ that lack arithmetic progressions of length $3$ . This gives the first quas…