I got the job application in, finally: here's the revised (or rather, totally re-written)
research proposal, and here's the
summary for laymen. You will notice the point where I thought "Speculative? Ha! I'll show you speculative!" I'd really appreciate feedback, especially on the one-page summary: the two or three formulae in there should be
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Not that I endorse casting "celebrities" in pantomimes to sell them though.
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As for the celebrity aspect, my experience is a bit skewed here because that was always the case when I went to pantos as a kid; I remember that Christopher Biggins would go dashing through the seats (in character) but stop to sign autographs on the way. I was quite surprised when my old flatmate told me that most pantos don't do that.
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I wonder whether there's a paper waiting to be written that picks up the Haskellite monad transformers and ... I dunno ... simplifies it using the Yang-Baxter viewpoint. It seems like it should be doable.
It also seems like if we could do this properly, introducing all the necessary changes into Haskell' or something, monad transforming should be possible to do a lot better, easier and more obvious than it is done now.
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As for the main paper, I got a bit lost when you started talking about monoids in the first paragraph, so I didn't read through the rest (sorry).
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In some sense, when you're dealing with objects of a category, all you really care about is whether things are isomorphic: equality is asking too much, and irrelevant anyway.
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