Krogan Jesus (nickname for the Krogan Shaman Adept, courtesy of Eternal Break on XBL) is incredibly fun to play.
First: he's a tanky adept. Do you like to Warp things and then detonate for that satisfying explosion sound? Do you hate getting dropped in one burst from a Cannibal? Krogan Jesus to the rescue! Yeah, you should still use RHA and all that crap, but duuuude... you've got 1000 barriers with 0 Fitness and it only gets better from there. Because of all those barriers you don't need Cyclonics on him, so you can take Adrenaline Module or even Power Efficiency to reduce your cooldowns while you wait for better/lighter weapons.
Second: Shockwave is f*cking awesome. On PC you take 4a Force & Damage (4b Radius is bugged), and may as well go 6a Recharge Speed (6b Lifting Shockwave is pointless). Now you have a 1200N stagger power... that's enough to stagger everything except bosses. Tired of Geth ruining your day? Turn the tables by repeatedly Shockwaving them. Phantom closing in? Shockwave. Nemesis won't hold still? Shockwave.
Second And A Halfth: put on Geth Scanner once you get it and you can see targets to Shockwave through walls. Of course, you can Shockwave through walls anyway if you know something is there.
Third: Warp is a great power. 4b/5b/6a, always.
Fifth: he's not really that cooldown dependent. Yeah, you'll miss out on detonating your own Warp/Shockwave combos if your cooldown isn't low enough, but you're not solo'ing, right? Warp stuff to debuff it and set it up for your teammates while you shoot it (Warp Ammo is awesome on Krogan Jesus), Shockwave if you need to stagger or if the target was already biotically primed.
Sixth: you're a f*cking Krogan! Headbutt in between waves and bust out the occasional Heavy Melee backhand against unshielded targets. Then laugh!