Thanks! No specific information on when formal decision letters and other information like funding would come. They did also say that the Associate Dean would be in touch later for a more formal welcome to the program.
Thank you! Also for the folks in this thread talking about phone calls from the Associate Dean - just as a data point, the professor who called and emailed me was neither the Associate Dean nor one of the professors I mentioned in my SOP, so maybe more formal acceptances will come later. Good luck everyone!
Claiming an acceptance! Got a phone call around noon PST and then an email from the professor who called immediately after. They said funding details along with more formal communication will follow sometime soon.