I'm a big fan of MagSorc!

Let's take a look:

PvE
Survivability is fairly easy on a Sorc due to their shield aka Hardened Ward. AoE is fairly decent, depending on what skills you prefer to use. Unstable Wall of Elements combined with the Volatile Familiar pet can pack a pretty decent punch - you could also add Necrotic Orb for even more AoE damage, if you prefer. In terms of rotation? It's pretty brain-dead simple.

PvP
Mobility and survivability are off the chain due to their infamous Streak ability, which can be used to stun multiple opponents or to chicken your way out of a fight, kind of like Nightblades do with Shadowy Disguise as soon as their Health Bar drops below 90% . You can run either pet or no-pet in PvP. A lot of people prefer to run without a pet, but I personally like using the Twilight Matriarch for the burst heal it gives. Some players will opt out of the pet option and say that you're practically toast if someone kills your pet. In a large-scale scenario, if your pet dies, pop a shield and Line of Sight via Streak to get your pet up again. If this is a small-scale scenario however, anyone with a brain knows not to strictly target a Sorcerer's pet because it gives the Sorcerer enough time to burst you down.

Speaking of burst, you've got Crushing Shock & Elemental Weapon as pretty reliable main spammables, combined with the timed-burst of Haunting Curse and Crystal Fragments (when it procs). A great way to apply even more additional pressure to your enemy is to use Overload and weave your light attacks with your main spammable (this is my personal preference, others use Shooting Star, Greater Storm Atronach, etc.) Sorcerer's have a very high Magicka pool, and if you tend to run low on resources during a fight, you've got Dark Conversion which converts a portion of your Stamina into Health and Magicka.