Not Updated For Current Season
lich bane 80 ap
absyl 70 ap
archangle staf 45 ap + (1475*0.3 = 42)
zodia's ring 120 ap + (358 * 0.25 = 89.5)
total AP = 447.5
frozen heart is used for extra armor and mana so you can use your stun and shield more ofthen with the 20% cooldown reduction.
your stun should deal 320 + 447 = 767 damage
your shield should deal around the same damge and your first melee hit should also deal an extra 447 damage.
there you have about 1800 to 2000 of raw damage.
because the ability powers items you get have magic resistance makes you more durable against ability powers of others.
you will have 69% physical reduction and 56% magic reduction.