Grammar
. . . smarter than
me, could be smarter than
I. The phraze infers "he is smarter than I
am," and we would not say "he is smarter than me am."
The simplest test of such phrazes is to separate the two and test whether one would say them, separately and completely, with the desired verb, as one tends to say them in plural or intimating the verb by the structure.
Yes, it's a nit I just picked.