Matthew Kwan

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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

Parities in random Latin squares

Matthew Kwan, Kalina Petrova, Mehtaab Sawhney

In a Latin square, every row can be interpreted as a permutation, and therefore has a parity (even or odd). We prove that in a uniformly random $n \times n$ Latin square, the $n$ ro…