He was born in London, where his father, also a mathematician, was then studying. His family returned to India, where he received his masters degree in 1928 from the Government College in Lahore. In 1931 he received his doctorate from Cambridge University, where he studied under J. E. Littlewood.
Chowla then returned to India, where he taught at several universities. During the difficulties arising from the partition of India in 1947, he left for the United States. There he visited the Institute for Advanced Study for a year or so, then taught at the University of Kansas and at the University of Colorado, before settling at Penn State in 1963, where he remained until his retirement in 1976.
Among his contributions are a number of results which bear his name. These include the Bruck-Chowla-Ryser theorem, the Ankeny-Artin-Chowla congruence, the Chowla-Mordell theorem, and the Chowla-Selberg formula.
References
Raymond C. Ayoub, James G. Huard, and Kenneth S. Williams, "Sarvadaman Chowla (1907-1995)", Notices of the American Mathematical Society, Volume 45, Number 5 (May 1998), electronic copy available at [1] (http://www.ams.org/notices/199805/comm-chowla.pdf)
SarvadamanChowla's father, Gopal Chowla, was professor of mathematics at Lahore.
After returning to India, Chowla was appointed professor of mathematics at St Stephen's College in Delhi, then at Benares Hindu University in Benares, then at Andhra University in Waltair, and finally at Government College of Punjab University in Lahore where he was Head of the Department of Mathematics from 1936 to 1947.
There Chowla became a visitor at the Institute for Advanced Study in Princeton, where he remained until the autum of 1949 when he was appointed as professor at the University of Kansas at Lawrence.