Qutb al-Din al-Shirazi studied medicine and law under his father Mas'ud al-Qadharuni and was later the best pupil of al-Tusi in astronomy and philosophy. He worked as a judge in Sivas, Malatya (Anatolia) and various cities in North-West Iran as well as carrying out various diplomatic missions for Ilkhanid rulers. After one such mission for the Ilkhanid Ahmad Tekudar (1282-1284) in Egypt, al-Shirazi moved to Tabriz and worked in the courts of Ghazan Khan and Uljaytu as well as founding a new astronomical observatory and scientific school in Tabriz (Boris A.Rosenfeld and Ekmeleddin Ihsanoglu, Mathematicians, Astronomers, and other Scholars of Islamic Civilization and their works (7th-19th Century), [Research Centre for Islamic History Art and Culture], Istanbul, 2003, p. 233).
Immediately following the title on the first page, the author calls himself 'Qutb al-Din', however, further down on the same page he refers to himself as Mahmud bin Mas'ud bin al-Muslih al-Shirazi, the continuation of his title.
This precise text is unrecorded in the above reference book.