Will Sawin

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2025

Random Diophantine equations of large degree

Tim Browning, Will Sawin

Among the set of hypersurfaces of degree $d$ and dimension $ℓ$ defined by the vanishing of a homogeneous polynomial with coefficients $\pm 1$ , we investigate the probability tha…

math.NT2024

Pairs of commuting integer matrices

Tim Browning, Will Sawin, Victor Y. Wang

We prove upper and lower bounds on the number of pairs of commuting $n \times n$ matrices with integer entries in $[- T, T]$ , as $T \to \infty$ . Our work uses Fourier analysis and lead…