It's a thing with Time Lords. Instead of dying, we go through a molecular regeneration. Our bodies renew itself, we get a new face, new personality, but the same person with the same memories.
You don't have to avoid me. Although, I'm thinking if we return to our previous timelines, we may have the memories of our time spent here erased. Otherwise, we'd remember it, back in our universe.
Pleasure to meet you Bill. Where are you staying? Were you assigned a job?