Does my professor have a crush on me?

I’m taking a summer course and the professor (technically not a professor, a PhD student) is always staring at me with that "look" in his eye and smiling. Whenever he tells a joke or anything his eyes go straight to me. He also said that I’m beautiful in front of the entire class twice. There’s another girl in our class that I think is prettier than me, but he doesn’t act that way with her. A few times he stood really close behind me while he was talking and leaned on my chair. He compliments me on how well I'm doing in class a lot. He technically hasn’t done anything inappropriate, it’s just weird because he’s my teacher and everything and probably around 15 years older. I’m also trying really hard and doing extremely well in class, so could he just be appreciating my efforts as a student?

Does my professor have a crush on me?
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