Günter Stemberger's *Mose in der Rabbinischen Tradition* (Freiburg: Herder, 2016) has a sustained discussion of texts from the Bavli on Moses, although it also draws on the entirety of rabbinic literature. Richard Kalmin's *The Sage in Jewish Society of Late Antiquity* (Routledge, 1998) has a chapter on Moses, which draws on quite a few texts from the Bavli. Dr. Shana Schick also has a valuable comparative angle on Moses' birth narrative in bSotah: http://thegemara.com/when-moses-was-born-the-house-was-filled-with-light/
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If the student is asking about the story of the portrait of Moses, it does not appear in the Bavli at all, but can be found in the commentary of R. Israel Lipschutz, Tiferet Yisra'el, to the Mishnah in Kiddushin 4:14.
A synopsis of the story, together with suggestions of the source of the story and the responses to it, appear in SZ Leiman's "R. Israel Lipschutz: The Portrait of Moses" available online at http://traditionarchive.org/news/originals/Volume%2024/No.%204/R.%20Isra...
Rabbi Shalom Z. Berger
For the question of David Sandmel, regarding resources that discuss the portrait of Moses in the Bavli specifically -
It is not easy to find such comprehensive works - as the materials in both Talmuds and Aggadah are simply enormous, beyond the possibility of one single work to deal with (there are, however, hundreds of books and articles which are dedicated to a specific topic in the Aggadah on Moses).
Perhaps the only work that tried to encompass it was The Legend of the Jews of L. Ginzberg (vol. 3).
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