subfield

[suhb-feeld]
noun Mathematics.
a field that is a subset of a given field.

Origin:
1945–50; sub- + field

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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Definitely search by subfield, and if possible subfield within subfield.
Upstart also knows that his is the only significant subfield in our discipline.
Please do as someone else recommended, and look at dissertations in your
  subfield.
It doesn't have much resonance to other departments outside my subfield.
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