Mīrzā Muhammad Tarāghāy bin Shāhrukh (Chagatay: میرزا محمد تراغای بن شاهرخ; Persian: میرزا محمد طارق بن شاهرخ), better known as Ulugh Beg (Persian: الغ‌بیک; 22 March 1394 – 27 October 1449), was a Timurid sultan, as well as an astronomer and mathematician.

Ulugh Beg was notable for his work in astronomy-related mathematics, such as trigonometry and spherical geometry, as well as his general interests in the arts and intellectual activities. It is thought that he spoke five languages: Arabic, Persian, Chaghatai Turkic, Mongolian, and a small amount of Chinese. During his rule (first as a governor, then outright) the Timurid Empire achieved the cultural peak of the Timurid Renaissance through his attention and patronage. Samarkand was captured and given to Ulugh Beg by his father Shah Rukh.

He built the great Ulugh Beg Observatory in Samarkand between 1424 and 1429. It was considered by scholars to have been one of the finest observatories in the Islamic world at the time and the largest in Central Asia. Ulugh Beg was subsequently recognized as the most important observational astronomer from the 15th century by many scholars. He also built the Ulugh Beg Madrasah (1417–1420) in Samarkand and Bukhara, transforming the cities into cultural centers of learning in Central Asia.

However, Ulugh Beg's scientific expertise was not matched by his skills in governance. During his short reign, he failed to establish his power and authority. As a result, other rulers, including his family, took advantage of his lack of control, and he was subsequently overthrown and assassinated.

He was a grandson of the great conqueror and king, Timur (Tamerlane) (1336–1405), and the oldest son of Shah Rukh, both of whom came from the Turkicized Mongol Barlas tribe of Transoxiana (now Uzbekistan). His mother was a noblewoman named Gawhar Shad, daughter of a member of the representative Turkic tribal aristocracy, Ghiyasuddin Tarkhan.

Ulugh Beg was born in Sultaniyeh during his grandfather's invasion of Persia. He was given the name Mīrzā Muhammad Tāraghay. Ulugh Beg, the name he was most commonly known by, was not truly a personal name, but rather a moniker, which can be loosely translated as "Great Ruler" (compare modern Turkish ulu, "great", and bey, "chief") and is the Turkic equivalent of Timur's Perso-Arabic title Amīr-e Kabīr.

As a child he wandered through a substantial part of the Middle East and India as his grandfather expanded his conquests in those areas. After Timur's death, Shah Rukh moved the empire's capital to Herat (in modern Afghanistan). Sixteen-year-old Ulugh Beg subsequently became the governor of the former capital of Samarkand in 1409. In 1411, he was named the sovereign ruler of the whole of Mavarannahr.

The teenage ruler set out to turn the city into an intellectual center for the empire. Between 1417 and 1420, he built a madrasa ("university" or "institute") on Registan Square in Samarkand (currently in Uzbekistan), and he invited numerous Islamic astronomers and mathematicians to study there. The madrasa building still survives. Ulugh Beg's most famous pupil in astronomy was Ali Qushchi (died in 1474). Qadi Zada al-Rumi was the most notable teacher at Ulugh Beg's madrasa and Jamshid al-Kashi, an astronomer, later came to join the staff.