Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A linear lower bound on the gonality of modular curves   The result in the title is proven, using the Selberg estimate on the leading
eigenvalue of the non-Euclidean Laplacian, and the method of conformal volumes
of Li and Yau.

27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex