Hi there! Do you know which area of Cambridge where you’ll be spending time? That might help folks chime in with recs. Oleana (Cambridge) and Sarma (Somerville) get a lot of love so that might get you started with two ideas for your special meal.
You might find inspiration on this thread, too:
And by “museum district” do you mean where the Museum of Fine Arts and Isabella Stewart Gardner Museum are in the Fenway? (Harvard has museums in Cambridge though I am guessing it’s much less likely you are referring to those.)