This would be my second character, i'm having trouble trying to build it. I would like to build a character that focuses on healing and necromancy since he has a whole life and death complex. I figured in order to raise the dead one must first understand life which is why I wanted to build a doctor character that dabbles in the dark arts of necromancy for his own personal reasons.(Bringing back a loved one and obtaining knowledge linked to immortality so that he could live with his resurrected wife forever.) I thought this corruption of a doctor would be cool but I don't see how to add more healing to the wizard. I'm open to all suggestions.
There really isn't any healing magics within the Wizard's spell list by design. There is a health transfer spell or two, but they aren't "healing" as much as "suck the life out of one and into the other".
I think to get your character concept you'll need 1 level of Cleric. I'd recommend either Grave, Death, or Life. Knowledge is another possibility to give you Expertise in 2 lores, then you can pick up Medicine as a background, but that's more in the "doctors know stuff" then "into death" vibe.
I'd recommend taking Cure Wounds and/or Healing Word as 2 of your Cleric Spells. This will let you deal healing. The positive is you can use these spells at higher levels, so even though you will lose a Spell Level Progression, you won't lose Spell Slot Progression.
Mechanically I'd recommend taking Cleric as your first level and Wizard as the rest. You'll get simple weapons, light and medium armor, and shield, and a bigger hit die. All around a lot of advantages. Death will give you Martial Weapons, Life gives Heavy Armor, while Grave and Knowledge give no extra proficiencies.
RP reason is simple, you started out as a "healer" (ie: doctor) and became more and more obessed with the lore of life/death/necromancy as so (wizard).
Thank you so much for the advice, I hadn't considered multiclassing as it is still a newer mechani to me.(I usually play 100% rogue thief). I will definitely use this to build him. Also thank you for the in depth explanation you gave alot to work with.