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We give a new proof of a recent resolution by Michelen and Sahasrabudhe of aconjecture of Shepp and Vanderbei that the moduli of roots of Gaussian Kacpolynomials of degree $n$, centered at $1$ and rescaled by $n^2$, should form aPoisson point process. We use this new approach to verify a conjecture ofMichelen and Sahasrabudhe that the Poisson statistics are in fact universal.

Universality of Poisson limits for moduli of roots of Kac polynomials