This is the deck I made and have been playing against my friend for awhile now with excellent success, more than any other deck I've built before. It's on it's third version now. I just added Hemorrhage, and while I've to see how it works in this deck, I imagine it will do well and it can be tutored with djinn. I have only one core set or I might have three djinns.
Get Rook on ice early and drain the corp. Use Crescentus to derez big ice and drain the corp to re-rez for +3 credits. Knight is amazing but use Djinn to get crypsis out early so you can safely facecheck ice and keep the corp poor.
Keep a lot of pressure on R&D by recurring parasites and locking the ice down with Knight. It's quick and easy to target a remote with knights and cyrpsis. Mimic for swordsman.
The idea behind the economy is to have minimal clicks for credits so you can use your clicks on caissa programs or other actions. Kati is the only click intensive resource since Professional contacts rewards you for what you should be doing anyway.
I'd love some feedback and more playtesting! Thanks!