Is there a build-in shortcut for inserting \mathrm{}
and putting the cursor between {}
in AUCTeX?
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C-c C-f C-r
will do it. Check out the AUCTeX manual for the keybindings for all of the standards.

Dan
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C-c C-f C-r
; you can find the key sequence by looking at the "Insert Font" menu. – Constantine Nov 21 '14 at 00:20