Bitcoin Talk was founded by Satoshi but he stopped posting after December 13, 2010.
Yuph, he's/she's/they're pretty busy right now for sure, doing some stuff to improve bitcoin? No one really knows what Satoshi's doing.
Theymos is the owner now but who hosts Bitcoin Talk? Does Satoshi still run the hosting or does Theymos host it? If Theymos doesn't does he still have access to the server?
I think it's Sir theymos who hosts Bitcointalk. And yes, theymos has access to server.
Why do you ask anyway?