Working in Zurich, living in Germany full time

Hi all -- we're in a bit of a situation.

I have recently accepted a Job in Munich and my partner has their new job in Zurich at a University.

Their job doesn't require them to be in the office all the time, and more likely it would be more effective ( both time and costs ) for them to be in-person as needed ( probably 1 or 2 times a month ).

Can anyone provide any information on this -- living in Germany but working in Zurich remotely -- i.e. paying German tax and social security?