Einstein once remarked to Oskar Morgenstern, one of the cofounders of game theory, that he went to the Institute chiefly to walk home with Gödel. ("Um das Privileg zu haben, mit Gödel zu Fuss nach Hause gehen zu dürfen." There is in the original German a note of gentle deference that cannot quite be translated.)[0]
I believe Einstein also brought Gödel to the IAS. Basically the whole time he was in the USA, to the end of his life, Gödel suffered from very serious depression.
[0] https://cosmolearning.org/images/einstein-and-godel/