What a lot of TV shows and movies do, and what I'd avoid doing, is looking up a bunch of technical terms from the character's profession and stringing them together in a sentence. Especially if you don't know what they mean yourself and so you're probably not going to be using them correctly. I'm a computer guy by profession, and when I hear supposed computer experts in TV shows talk I almost always laugh at how ridiculous what they say really is. If it's a subject I know even a little bit about, the techno-babble usually sounds ridiculous. Even when they get it technically right, it's often out of place.
Less dramatically, I wouldn't try to put a bunch of long words into his speech. Many people think that using long words makes them sound smart. It really doesn't. I like to think I'm a well-educated, intelligent person. And I don't go around saying things like, "Peradventure you attempt to facilitate the initiation of combustion in your automobile ..." I say, "If you want to start your car ..."
What you can do:
First thing that occurs to me is to avoid slang. A highly-educated, intelligent person rarely talks like a teenager.
Second: Avoid grammar errors. A person of average intelligence might well say, "Yeah, we was goin." But a more intelligent person is more likely to say, "Yes, we were going." Etc.
Possibly: Use more complex sentences. Have him use subordinate clauses, etc.
More difficult: Have him say and do smart things. If you're trying to write a character who is smarter than you are, this can be tricky. Like if I tried to write a story about a character who invents a time machine, while I have no idea how to build a time machine, how could I possibly describe this? But you can always just say, "George invented a time machine."
You can make him the more critical thinker. If someone tells an unlikely story, he can be the one who says, "Is there any evidence to back this up?" (Whether the unlikely story is "I was kidnapped by aliens" or "I have a system for winning the lottery".) I wouldn't make him dogmatically unreceptive to ideas that conflict with his existing beliefs and theories. I'd think that's a sign of narrow-mindedness, not intelligence. In my humble opinion, the truly intelligent person isn't the one who says, "I refuse to even look at your supposed evidence that bigfoot exists [or whatever] because I just know that such a creature is impossible", but rather the one who says, "Now wait, just because you heard a noise in an old house that you can't explain doesn't prove there's a ghost. There are many other possible explanations."
Well, there are a couple of suggestions. I freely admit that you probably need more than that but that's all I've got. :-)