Mathematical linguistics is an exceptional field in that it is one of the few areas of study to which modern algebraic thinking is directly
(the indirect applications being too numerous to count). Spam-filtering, cheat-detection, marketplace nomenclature, to name a few, are places
where mathematics and linguistics work together for practical gain.
I've spoken to undergraduates at several universities about this interplay, in particular about a fun application of linguistics I stumbled across while<
working toward a Ph.D. Minor in Linguistics in grad school.
Everyone knows that we mathematicians have some peculiar idiosyncracies when it comes to our language. We use "hypothesis" differently from
the rest of the sciences, we have an immensely disproporionate frequency of the word "trivial" in our writing, and in what other discipline could
the phrase "every irreducible module is completely reducible" be even remotely sensible, let alone true?
I performed a very informal experiment, attempting to generate "random" mathematical-sounding linguistic structures, i.e., random words, sentences,
paper titles, etc., that sound like they could've come from a bona fide mathematical paper.
In the interest of keeping the results of the experiment a surprise when I talk on the matter, I'll mostly suppress them from this little blurb, but
I'll leave you with this blub of mathematical nonsense:
This paper contains the analysis of the Hodge filtration associated to a pseudo-compact isocrystal, concluding with a more precise version of the