The game plan is to cast K’rrik as soon as possible, ideally on turn 2. A number of combos open up from there. One combo goes like this:

    Cast Buried Alive looking for Gray Merchant of Asphodel, Dimir House Guard, and Chainer, Dementia Master.
    Pull Chainer from the graveyard with Goryo's Vengeance.
    Use K’rrik to pay 9 life and reanimate Gray Merchant of Asphodel.
    The Merchant nets you 21 life and then you reanimate Dimir House Guard, sacrificing Merchant and repeating the process until everyone is dead.

There’s also the Aetherflux Reservoir route (plan B). You pay life to cast spells, recover life, cast more spells, and so on until you can laser players down with your artifact's activation.

***Upgrades***

Anything that lets you combo off faster or raises the consistency of the deck is in consideration, since the deck tries to do exactly one thing.

    Better black tutors: Beseech the Mirror is a half-step in that direction without completely breaking the bank, otherwise look for Imperial Seal and Vampiric Tutor.
    Rituals: Lake of the Dead is a ritual-like land that can give you a burst of mana out of nowhere, though you likely need to win the turn you play it or risk drawing the attention of land destruction spells or Strip Mines.
    Sensei's Divining Top and black's best card draw to dig for the combo pieces when tutors can't.