Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Random Polynomials to Symplectic Geometry   We review some recent results on random polynomials and their generalizations
in complex and symplectic geometry. The main theme is the universality of
statistics of zeros and critical points of (generalized) polynomials of degree
$N$ on length scales of order $\frac{D}{\sqrt{N}}$ (complex case), resp.
$\frac{D}{N}$ (real case).

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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas