(40 W/ 38 L / 6 D)
If he's cheating, he's doing it well.
He is losing enough games for it to appear normal. Also, in your game, Stockfish ruled the move 27...Bh4? as a mistake, marking 27...b6 the better move.
Best to submit a Cheating Report anyway, as a 760 beating a 1300-1400 does raise the eyebrow.
Good luck.
I just played a game against a 760 rated player and I lost. He played very suspicously, and it wasn't long till I came to the conclusion that he was cheating. Once I found this out, I resigned because if I continue, i'll be wasting my time, I lost anyway. After the game, I analyzyed his moves with an engine and all of his moves lined up with the engine to the T. So, how do I get this guy banned, if you look at many of his previous games, they also line up with an engine perfectly. Thank you for your help.