What does am mean?
The definition of am
Etym: [AS. am, eom, akin to Gothic im, Icel. em, Olr. am, Lith. esmi, L. sum., Gr. ahmi, Skr. asmi, fr. a root as to be. Are, and cf. Be, Was.]

The first person singular of the verb be, in the indicative mode, present tense. See Be. God said unto Moses, I am that am. Exod. iii. 14.