You can manually re-add the drives by selecting the Finder icon on your dock (looks like a two-tone blue face, probably the farthest-left icon) and then navigating to Go > Connect to Server... from the menu bar at the top of the screen. In the Server Address field, individually enter whichever of the following addresses correspond to the drives you need and click connect:
Groups (O: Drive) - smb://vervefs.college.columbia.edu/groups$/
Groups 2 (R: Drive) - smb://vervefs.college.columbia.edu/groups2$/
Projects (P: Drive) - smb://vervefs.college.columbia.edu/projects$/
Media (Q: Drive) - smb://vervefs.college.columbia.edu/media$/
You can also click the "+" button next to the address field to add them to your favorite server list, which will make re-adding the drives faster if you have to again in the future.