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He is a well-known analytic number theorist. In reminiscing about Stanley Tennenbaum at the memorial, Mel told of a number theory course he took from Stanley at U. Rochester:
"The main text was a magical set of lecture notes by Andr'e Weil, 28 pages of typewritten, double-spaced mimeographed pages. Many years later I was friendly with Morris Schreiber, a professor at Rockefeller University and also a friend of Stan. I gave Weil's notes to Moe, and he passed them on to Walter Kaufman-Buhler, then the mathematics editor of Springer in New York. Springer subsequently published them in a small softcover volume, Number Theory for Beginners, which was supplemented by a set of exercises written by Maxwell Rosenlicht, who was, evidently, Weil's teaching assistant when he taught the course in Chicago. Stan described the origin of the notes of Weil as follows: Weil taught an undergraduate algebra (not number theory) course one summer in Chicago, and these notes were intended to indicate what Weil thought an undergraduate course in abstract algebra should be. It was in opposition to the then-standard algebra text by Birkhoff and Maclane, which Weil (according to Stanley) thought was terrible."