hypnotist vs hypnotizer

hypnotist and hypnotizer both are nouns.

Word	Noun	Adjective	Verb	Adverb
hypnotist	Yes	No	No	No
hypnotizer	Yes	No	No	No

As nouns, hypnotist and hypnotizer are synonyms defined as:

Other synonyms of hypnotist include hypnotiser, mesmerist, mesmerizer.

hypnotist (noun)	hypnotizer (noun)
a person who induces hypnosis	a person who induces hypnosis