Born on 11 October, 1923 in Kanpur.
Was awarded a master's degree in 1943 at University of Allahabad, and then went to Bangalore to work further on Theoretical Physics.
Harish-Chandra went to Cambridge, where he studied for his Ph.D. under Dirac's supervision.
Became more interested in Mathematics.
Harish-Chandra worked at the Institute for Advanced Study at Princeton from 1963. He was appointed IBM von Neumann Professor in 1968.
He was greatly influenced by the mathematicians Hermann Weyl and Claude Chevalley at Princeton. He had close contact with André Weil.
Built a fundamental theory of representations of Lie groups and Lie algebras, respectively of harmonic analysis on these groups and their homogeneous spaces. Worked in representation theory.
Won Many awards in his career.
He was a Fellow of the Royal Society of London.
Fellow of the National Academy of Sciences.
He won the Cole prize from the American Mathematical Society in 1954 for his papers on representations of semi-simple Lie algebras and groups, and particularly for his published papers.
In 1974, he received the Srinivasa Ramanujan Medal from the Indian National Science Academy.
He died on 16 October, 1983, of a heart attack at the end of a week long conference in Princeton, having earlier suffered from three heart attacks on 16 October, 1983.