Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Student-centric graduate training in mathematics: A commentary   Career opportunities for PhDs in the mathematical sciences have never been
better. Traditional faculty positions in mathematics departments in colleges
and universities range from all teaching to combined teaching and research
responsibilities. Beyond those, a wide array of careers has now opened up to
freshly minted graduates, in academics, industry, business, and government. It
is well-understood that these all require somewhat different preparations for
PhDs to be competitive. This commentary compares and contrasts mathematics
graduate programs with Ph.D. programs in the life and biomedical sciences,
which are structured in a way that allows considerable customization around
each student's career goals. While these programs may not be appropriate
templates for the mathematical sciences, they have some features that might be
informative. This commentary is intended to add perspective to the ongoing
discussion around PhD training in the mathematical sciences. It also provides
some concrete proposals for changes.

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The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an