Help analyzing recent game and how to continue?

I think you played quite well and have a better position at the end with many possibilities. I might have considered 15.dxe6 Bxg2 16.exf7+ Rxf7 17.Kxg2 winning a pawn. Or direct attacking ideas like 15.Qh5 followed by Be4 or 15.Qg4 followed by Ne4 which is perhaps more the thing to do here rather than going after a measly pawn. 15.Qh5 I think I would go for, If black moves g6 or h6 this only weakens his kingside and your knights are coming. Meanwhile he has zero counterplay so you have time to build it. Your own position is spacious and beautiful, black is cramped and ugly which is usually a good justification to launch an attack based on 'general principles'.

I'm not sure if analysis of ongoing games is actually allowed dude, but I'll put my (undoubtedly) inferior analysis skills at your disposal, even so. Right, so first of all, I notice that you have pretty decent control of the dark squares with your pawns; therefore, putting your knight on g5 is a good idea. However, you will first want to get rid of his pawn on d6, because otherwise after Ng5, dxe5 wins a pawn and is quite likely to lead to the kicking of your knight, both quite unpalatable outcomes. But neither do I recommend exd6, for after cxd6 Black will be left with a half open c file on which to position his queen and attack your loose c pawn, or even move to the nice outpost on c5 with check, winning a tempo. So that's not a good move. My advice would be to set up a discovered attack on Black's bishop while disrupting the pawn cover around his king (making Ng5 much more threatening) AND possibly win a rook by playing dxe6. If Black captures your knight with his bishop, you recapture with your own bishop; from there, he will be forced to pin either his pawn or his knight to protect his rook (since defending with his pawn will restrict his knight's movement and using his knight will allow him to activate his rook, you should expect him to use his knight. Possibly the least wanted continuation.) If he replies with fxe6 instead, then that's extremely good news for you. Ng5 in this case will not only attack his bishop by discovery, but attack the e6 square also. Black will either have to save his bishop or defend the square - if he chooses the former (and he really shouldn't), then Nxe6 wins the exchange. If he chooses the latter, then Bxb7 wins it anyway (because you'll take his rook with Bxa8, and he can't capture both your bishop and your knight at the same time - one's going to get away no matter what.) The only reply you really need to fear, I feel, is dxe5. This is because I hate trading queens. Even so, your chances are pretty good; when he plays Rxd8, you have the option of a) contesting the file with Rfd1 (making use of the lack of communication between his rooks to double your own) or b) chipping away even more at his kingside pawns (and drawing his king towards the centre) with exf7. I haven't fully analyzed this continuation though. Anyway, that's all the advice I've got time to dispense right now. I'll check back later, however. In the meantime, I apologize to any experts out there for the patzer level of my analysis xD