Pumbedita Academy in the context of Abba Arika

Geonim (Hebrew: גְאוֹנִים, lit. 'Excellencies', [ɡe(ʔ)oˈnim]; also transliterated as Gaonim; sing. Gaon, גָאוֹן, 'Excellency') were the chiefs of the Sura and Pumedita Academies, the two great Talmudic Academies in Babylonia during the Abbasid Caliphate. They were generally accepted as the spiritual leaders of the Jewish community worldwide in the Early Middle Ages, in contrast to the Resh Galuta (Jewish Babylonian Aramaic: רֵישׁ גָּלוּתָא, lit. 'Head [of the] Exile') who wielded secular authority over the Jews in Islamic lands.

The title is derived from gei'on (גְאוֹן, 'pride' or 'majesty'), a Biblical Hebrew term found in Psalm 47:5, Nahum 2:3, Amos 6:8, and Amos 8:7, among other texts of the Hebrew Bible. In Modern Hebrew, the term (גאון) translates to "genius". The Geonim played a prominent and decisive role in the transmission and teaching of Torah and Halakha (Jewish law). They taught and studied Talmud and were decisors on halakhic matters regarding which no judgments had previously been rendered.

Sura Academy (Hebrew: ישיבת סורא) was a Jewish yeshiva located in Sura in what is now southern Iraq, a region known in Jewish texts as "Babylonia". With Pumbedita Academy, it was one of the two major Jewish academies from the year 225 CE at the beginning of the era of the Amora sages until 1033 CE at the end of the era of the Gaonim. Sura Academy was founded by the Amora Abba Arikha ("Rav"), a disciple of Judah ha-Nasi. Among the well-known sages that headed the yeshiva were Rav Huna, Rav Chisda, Rav Ashi, Yehudai ben Nahman, Natronai ben Hilai, Saadia Gaon, and others.

The Talmudic academies in Babylonia, also known as the Geonic academies, were the center for Jewish scholarship and the development of Halakha during the Geonic era (from c. 589 to 1038 CE; Hebrew dates: 4349 AM to 4798 AM) in what is called "Babylonia" in Jewish sources. This term is neither geopolitically nor geographically identical with the ancient empires of Babylonia, since the Jewish focus of interest has to do with the Jewish religious academies, which were mainly situated in an area between the rivers Tigris and Euphrates and primarily between Pumbedita (modern Fallujah, a town west of Baghdad), and Sura, a town farther south down the Euphrates. At the time this area was part of the region known as Asōristān (under the Sasanian Empire) or Iraq (under the Muslim caliphate until the 11th century).

The key work of these academies was the compilation of the Babylonian Talmud, started by Rav Ashi and Ravina, two leaders of the Babylonian Jewish community, around the year 550. Editorial work by the Savoraim or Rabbanan Savoraei (post-Talmudic rabbis), continued on this text for the next 250 years. In fact, much of the text did not reach its final form until around 700. The two most famous academies were located at Sura and Pumbedita; the Sura Academy was originally dominant, but its authority waned towards the end of the Geonic period and the Pumbedita Academy's Geonate gained ascendancy. Major yeshivot were also located at Nehardea and Mahuza (al-Mada'in).