Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality of Poisson limits for moduli of roots of Kac polynomials   We give a new proof of a recent resolution by Michelen and Sahasrabudhe of a
conjecture of Shepp and Vanderbei that the moduli of roots of Gaussian Kac
polynomials of degree $n$, centered at $1$ and rescaled by $n^2$, should form a
Poisson point process. We use this new approach to verify a conjecture of
Michelen and Sahasrabudhe that the Poisson statistics are in fact universal.

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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: q-alg