TITLE: Relating Category Theory to Programming Language Theory
QUESTION [70 upvotes]: I'm wondering what the relation of category theory to programming language theory is.
I've been reading some books on category theory and topos theory, but if someone happens to know what the connections and could tell me it'd be very useful, as that would give me reason to continue this endeavor strongly, and know where to look.
Motivation: I'm currently researching undergraduate/graduate mathematics education, specifically teaching programming to mathematics grads/undergrads. I'm toying with the idea that if I play to mathematicians strengths I can better instruct them on programming and they will be better programmers, and what they learn will be useful to them. I'm in the process (very early stages) of writing a textbook on the subject.

REPLY [5 votes]: If you want a very basic, entry level description of category theory from a Haskell programming point of view (not exactly what the OP asked for),

http://en.wikibooks.org/wiki/Haskell/Category_theory

is nice.