Aryabhatta provides no information about his place of birth. The only information comes from Bhaskara I, who describes Aryabhatta as asmakiya, "one belonging to the Asmaka country." During the Buddha's time, a branch of the Asmaka people settled in the region between the Narmada and Godavari rivers in central India; Aryabhatta is believed to have been born there.
Education
It is fairly certain that, at some point, he went to Kusumapura for advanced studies and lived there for some time. Both Hindu and Buddhist tradition, as well as Bhaskara I (CE 629), identify Kusumapura as Pataliputra, modern Patna. A verse mentions that Aryabhatta was the head of an institution (kulapa) at Kusumapura, and, because the university of Nalanda was in Pataliputra at the time and had an astronomical observatory, it is speculated that Aryabhatta might have been the head of the Nalanda university as well.Aryabhatta is also reputed to have set up an observatory at the Sun temple in Taregana, Bihar
Works
Aryabhatta is the author of several treatises on mathematics and astronomy, some of which are lost. His major work, Aryabhatiya, a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature and has survived to modern times. The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also contains continued fractions, quadratic equations, sums-of-power series, and a table of sines.