Graduation and post-graduation in Mathematics from Lucknow University where I stood first in order of merit in the B.Sc., (1972), B.Sc. Hons. (1973), and M.Sc. (1974) examinations , earning 12 University Gold Medals.
Doctor of Science (D.Sc.), Mathematics, Lucknow University, 2008.Â
Published approximately 115 research papers in international mathematical journals, focused on Diophantine equations and number theory.
Elected Member of the National Academy of Sciences, India.