Konrad II the Hunchback (Polish: Konrad II Garbaty) (1252/65 – 11 October 1304) was Duke of Ścinawa from 1278 to 1284, patriarch of Aquileia in 1299, and Duke of Żagań from 1284 until his death.
He was the second son of Konrad I, Duke of Głogów by his first wife Salome, daughter of Duke Władysław of Greater Poland. His nickname "Hunchback" (Garbaty) appears in contemporary chronicles probably due to his religious career.
Konrad II first appeared on the chronicles at the ceremony of the canonization of his paternal great-grandmother Hedwig of Andechs in 1267. Ten years later he joined his elder brother Henry III in the Battle of Stolec (24 April 1277) which culminated in a disastrous defeat.
Shortly after these events, Konrad was sent to Bologna, Italy to study in order to take important ecclesiastical posts in the future. During his absence, Henry IV Probus ruled Ścinawa on his behalf. When Konrad II returned to his Duchy in 1280, the Duke of Wrocławski refused to return control. It was not until years later, when thanks to pressure from Bishop Thomas II Zaremba of Wrocław Henry IV finally recognized the sovereignty of Konrad II over Ścinawa.
Four years after Konrad I's death in 1278, the Duchy was divided between Konrad II and his brothers., with the former obtaining Ścinawa. However, in 1284, Konrad II assumed the rule over Żagań, while his younger brother Przemko, then Duke of Żagań, received Ścinawa. One possible reason for this switch was pressure from Duke Henry IV Probus of Wroclaw, who preferred to have the more trustful Przemko in the neighboring realm.