- He raised my curiosity about what kind of person he is.
- He raised my curiosity about what kind of person is he.
What is the right position of "is" in the sentence?
Number 1 is the proper order. In this case, "what kind of person he is" is the noun phrase that defines the object of curiosity.
If you were asking a question about this person, you might say,
"What kind of person is he?"
In this case, the verb comes first because it's a full interrogative sentence, and not just a descriptive phrase.
We could re-write number 2 to include the asking of a question:
He raised my curiosity and made me ask myself, "What kind of person is he?"