Awards and nominations:
Bhargava has won several awards for his research, the most prestigious being the Fields Medal, the highest award in the field of mathematics, which he won in 2014.
Bhargava is the third youngest full professor in Princeton University's history, after Charles Fefferman and John Pardon.
In addition, he won the Morgan Prize and Hertz Fellowship in 1996, a Clay 5-year Research Fellowship, the Merten M. Hasse Prize from the MAA in 2003, the Clay Research Award in 2005, and the Leonard M. and Eleanor B. Blumenthal Award for the Advancement of Research in Pure Mathematics in 2005.
Peter Sarnak of Princeton University has said of Bhargava:
He was named one of Popular Science Magazine’s "Brilliant 10" in November 2002. He won the $10,000 SASTRA Ramanujan Prize, shared with Kannan Soundararajan, awarded by SASTRA in 2005 at Thanjavur, India, for his outstanding contributions to number theory.
In 2008, Bhargava was awarded the American Mathematical Society's Cole Prize. The citation reads:
In 2011, he was awarded the Fermat Prize for "various generalizations of the Davenport-Heilbronn estimates and for his startling recent results (with Arul Shankar) on the average rank of elliptic curves".
In 2011, he delivered the Hedrick lectures of the MAA in Lexington, Kentucky. He was also the 2011 Simons Lecturer at MIT.
In 2012, Bhargava was named an inaugural recipient of the Simons Investigator Award, and became a fellow of the American Mathematical Society in its inaugural class of fellows.
He was awarded the 2012 Infosys Prize in mathematics for his "extraordinarily original work in algebraic number theory, which has revolutionized the way in which number fields and elliptic curves are counted".
In 2013, he was elected to the National Academy of Sciences.
In 2014, Bhargava was awarded the Fields Medal at the International Congress of Mathematicians in Seoul for "developing powerful new methods in the geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves".
In 2015, he was awarded the Padma Bhushan, the third highest civilian award of India.