Will Sawin

activity

20242026

most citedThe sum-product conjecture is false for real numbers

1 citations · 3 across the 7 of their papers we have counts for

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2 papers · 1 filter

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…

math.CO2024

The miracle of integer eigenvalues

Richard Kenyon, Maxim Kontsevich, Oleg Ogievetsky +3

For partially ordered sets $X$ we consider the square matrices $M^{X}$ with rows and columns indexed by linear extensions of the partial order on $X$ . Each entry $\left( M^{X}\righ…