I am looking for scholarship on the image of Job in the Bavli, especially covering the material in Baba Bathra 15a-15b. thanks.
Although light on discussion about Job in BB 15a-15b, I'd recommend looking at Jason Kalman's With Friends Like These: Turning Points in the Jewish Exegesis of the Book of Job.
For the question of Aryeh Cohen, regarding scholarship on the image of Job in the Bavli –
In the research it is actually inseparable from the other texts of the rabbis, therefore I would recommend on reading these sources in order to get more complete picture (apart from the works of Hannanel Mack and Jason Kalman that were already mentioned here; and apart from the general advice always in such a case to look up carefully in "The Legends of the Jews" by Louis Ginzberg):
Judith R. Baskin, Pharaoh's Counsellors: Job, Jethro, and Balaam in Rabbinic and Patristic Tradition, Chico, Scholars Press, 1983.
Galit Hasan-Rokem, Lihyot o lo lihyot, Iyov beSifrut haAggadah (=“ “To Be or Not to Be – Job in Aggadic Literature?), in: Mehqerei Talmud: Memorial Volume for Ephraim E. Urbach. Eds. Ya'akov Sussman and David Rosenthal (Jerusalem: Magnes Press, 2005), pp. 385-402 [Hebrew].
Martien F.G. Parmentier, “Job the Rebel: From the Rabbis to the Church Fathers,” in: M.J.H.M. Poorthuis and J. Schwartz (eds.), Saints and Role Models in Judaism and Christianity (Leiden, Brill), pp. 227–242.
Irving Jacobs, The Historical and Ideological Implications of Mishnah Sotah 5:5, Journal for the Study of Judaism in the Persian, Hellenistic, and Roman Period, vol. 23, No. 2 (1992), pp. 227-243.
Bree C. Del Sordo, Transformation in the Stories of Job, Dissertation, American University 2008, pp. 80-94.
J.T.A.G.M. van Ruiten, "Abraham, Job and the Book of Jubilees: The Intertextual Relationship of Genesis 22:1-19, Job 1:1-2:13 and Jubilees 17:15-18:19", in E. Noort and E. Tigchelaar (eds.), The Sacrifice of Isaac: The Aqeda, Leiden, Brill, 2002, pp. 58-85.
Joanna Weinberg, “Job versus Abraham: The Quest for the Perfect God-Fearer in Rabbinic Tradition,” in W.A.M. Beuken, ed., The Book of Job (Leuven: Leuven University Press, 1994), 281-296.
Menahem Kister, Affinity and Competition between Biblical Figures in Post-biblical Literature, Meghillot: Studies in the Dead Sea Scrolls, 2013, pp. 115-135, esp. pp. 116-119 [Hebrew].
And see the interesting notes of Abraham Joshua Heschel, Heavenly Torah: As Refracted Through the Generations, edited and translated Gordon Tucker with Leonrad Levin, New York and London: (Continuum 2006), pp. 654-656.
Although this next reference in not connected to the text of the Bavli there (and perhaps because of it!) I refer here to the feminist point of view, as reflected in the discussion on the (missing!) wife of Job by Nava Gutman, "Utzit", Shnaton: An Annual for Biblical and Ancient Near Eastern Studies, vol. 14, pp. 205-214 (and her references to the Aggadah there) [Hebrew].
However, for the daughters of Job who are indeed mentioned there in the Bavli's discussion see: Angela Kim Harkins, A Fitting Inheritance for Job's Daughters in the Testament of Job? Henoch 36 (2014): 1–22.