Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploring the toolkit of Jean Bourgain   Gian-Carlo Rota once asserted that "every mathematician only has a few
tricks". The sheer breadth and ingenuity in the work of Jean Bourgain may at
first glance appear to be a counterexample to this maxim. However, as we hope
to illustrate in this article, even Bourgain relied frequently on a core set of
tools, which formed the base from which problems in many disparate mathematical
fields could then be attacked. We discuss a selected number of these tools
here, and then perform a case study of how an argument in one of Bourgain's
papers can be interpreted as a sequential application of several of these
tools.

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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg