<human>: So I am in a college math class with a student (let's call him Adit) who spends a fair amount of time advertising his supposed math abilities. This is a small (~30 person) class in a small room, so everyone can hear him.
 
Earlier today, a student in front of me said something to the effect of "yeah, I spent like 4 hours on that homework", and 
Adit replied boastfully "Oh, wow, that took you four hours?" with an industrial-sized serving of condescension. It was clear from a later conversation that he had not even completed the homework yet.

This kind of behavior keeps happening again and again. In class, he always tries to advertise when he has finished an in-class problem before other people, and he's constantly taking (incorrect) shortcuts that might lead him to an answer faster, just so that he can sit there and look down on everybody. It is clear to me that he is just acting like an asshat and doesn't even know the material very well, but I have concerns that his behavior is affecting other students. The aforementioned homework-ridden student hung his head immediately upon hearing Adit put him down.

I don't think that he understands how this behavior affects other people (See "math anxiety" in Google Scholar). Is there a safe way that I can point him in the right direction, or is it even my place to try to correct his behavior? 

I am his TA in another class, and I will probably run into him a fair bit in the next couple of years, so I don't want to make an enemy, but I feel pretty passionate
 about math education, and I don't want to see any students doing worse because Adit can't control his insecurities.

Can you provide a brief overview of the text?
<bot>: Math student talks the talk too loud, interferes with other students trying to walk the walk. How do I give him a talk?