Jesus in the Talmud
In the first few centuries CE, there were many sects of Judaism (such as Pharisees, Essenes, and Sadducees) each claiming to be the correct faith. Some scholars treat Christianity, during that era, referred to as Early Christianity, as simply one of many sects of Judaism. Some sects wrote polemics advocating their position, and occasionally disparaging rival sects. Some scholars view the depictions of Jesus in the Talmud as a manifestation of those inter-sect rivalries – thus the depictions can be read as polemics by the rabbinic authors of the Talmud which indirectly criticized the rival sect (Christianity), which was growing and becoming more dominant.
Jews
After the destruction of the Second Temple, Judaism lost much of its sectarian nature. Nevertheless, a significant Hellenized Diaspora remained, centered in Alexandria, at the time the largest urban Jewish community in the world. Hellenism was a force not just in the Diaspora but also in the Land of Israel over a long period of time. Generally, scholars view Rabbinic Judaism as having been meaningfully influenced by Hellenism.