Manjul bhargava father

Canadian-American mathematician (born )

Manjul BhargavaFRS (born 8 August )^[2] is a Canadian-American mathematician. He is the Brandon Fradd, Class of , Professor of Mathematics at Princeton University, the Stieltjes Professor of Number Theory^[3] at Leiden University, and also holds Adjunct Professorships at the Tata Institute of Fundamental Research, the Indian Institute of Technology Bombay, and the University of Hyderabad.

He is known primarily for his contributions to number theory.

Bhargava was awarded the Fields Medal in According to the International Mathematical Union citation, he was awarded the prize "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".^[4][5][6] He was also a member of the Padma Award committee in ^[7]

Education and career

Bhargava was born to an Indian family in Hamilton, Ontario, Canada, but grew up and attended school primarily on Long Island, New York.

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His mother Mira Bhargava, a mathematician at Hofstra University, was his first mathematics teacher.^[8][9] He completed all of his high school math and computer science courses by age ^[10] He attended Plainedge High School in North Massapequa, and graduated in as the class valedictorian. He obtained his AB from Harvard University in For his research as an undergraduate, he was awarded the Morgan Prize.

Bhargava went on to pursue graduate studies at Princeton University, where he completed a doctoral dissertation titled "Higher composition laws" under the supervision of Andrew Wiles and received his PhD in , with the support of a Hertz Fellowship.^[11] He was a visiting scholar at the Institute for Advanced Study in –02,^[12] and at Harvard University in – Princeton appointed him as a tenured Full Professor in He was appointed to the Stieltjes Chair in Leiden University in

Bhargava has also studied the tabla under gurus such as Zakir Hussain.^[13] He also studied Sanskrit from his grandfather Purushottam Lal Bhargava, a scholar of Sanskrit and ancient Indian history.^[14][15] He is an admirer of Sanskrit poetry.^[16]

Career and research

Bhargava’s PhD thesis generalized Gauss's classical law for composition of binary quadratic forms to many other situations.

One major use of his results is the parametrization of quartic and quintic orders in number fields, thus allowing the study of the asymptotic behavior of the arithmetic properties of these orders and fields.

His research also includes fundamental contributions to the representation theory of quadratic forms, to interpolation problems and p-adic analysis, to the study of ideal class groups of algebraic number fields, and to the arithmetic theory of elliptic curves.^[17] A short list of his specific mathematical contributions are:

In , Manjul Bhargava and Arul Shankar proved the Birch and Swinnerton-Dyer conjecture for a positive proportion of elliptic curves.^[20]

Awards and honours

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

He received the Morgan Prize in ^[21] and Hertz Fellowship^[22] He was named one of Popular Science magazine's "Brilliant 10" in November He then received a Clay 5-year Research Fellowship and the Merten M.

Hasse Prize from the MAA in ,^[23] the Clay Research Award, the SASTRA Ramanujan Prize, and the Leonard M. and Eleanor B. Blumenthal Award for the Advancement of Research in Pure Mathematics in

Peter Sarnak of Princeton University has said of Bhargava:^[24]

At mathematics he's at the very top end.

For a guy so young I can't remember anybody so decorated at his age. He certainly started out with a bang and has not let it get to his head, which is unusual. Of course he couldn't do what he does if he wasn't brilliant.

Martin hairer: Retrieved 10 November Her only goal was to write music and get better each day, she says. The most popular dishes here are the parathas, served with a massive dollop of white butter, Chhole Bhature with lassi and samosas. Lots of desi ghee is also used in the food.

It's his exceptional talent that's so striking

In , Bhargava was awarded the American Mathematical Society's Cole Prize.^[25] The citation reads:

Bhargava's original and surprising contribution is the discovery of laws of composition on forms of higher degree. His techniques and insights into this question are dazzling; even in the case considered by Gauss, they lead to a new and clearer presentation of that theory.

In , he was awarded the Face of the Future award at the India Abroad Person of the Year ceremony in New York City.^[26] In , the same publication gave the India Abroad Publisher's Prize for Special Excellence.^[27]

In , 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".^[28] In , Bhargava was named an inaugural recipient of the Simons Investigator Award,^[29] and became a fellow of the American Mathematical Society in its inaugural class of fellows.^[30] He was awarded the 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".^[31]

In , he was elected to the National Academy of Sciences.^[32]

In , Bhargava was awarded the Fields Medal at the International Congress of Mathematicians in Seoul^[15] 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".^[33]

In , he was awarded the Padma Bhushan, the third-highest civilian award of India.^[34]

In , Bhargava was elected as a member of the American Academy of Arts and Sciences.^[35] In , Bhargava was named as the inaugural occupant of The Distinguished Chair for the Public Dissemination of Mathematics at The National Museum of Mathematics (MoMath).

This is the first visiting professorship in the United States dedicated exclusively to raising public awareness of mathematics.^[36] Bhargava was conferred a Fellowship at the Royal Society in ^[37]

Selected publications

• Bhargava, Manjul ().

  "The Factorial Function and Generalizations"(PDF). The American Mathematical Monthly. (9): – CiteSeerX&#; doi/ JSTOR&#;

• Bhargava, Manjul (). "Higher Composition Laws I: A New View on Gauss Composition, and Quadratic Generalizations"(PDF). The Annals of Mathematics. : – doi/annals
• Bhargava, Manjul ().

  "Higher Composition Laws II: On Cubic Analogues of Gauss Composition"(PDF). The Annals of Mathematics. (2): – doi/annals

• Bhargava, Manjul (). "Higher Composition Laws III: The Parametrization of Quartic Rings"(PDF). The Annals of Mathematics. (3): – doi/annals
• Bhargava, Manjul ().

  "The density of discriminants of quartic rings and fields"(PDF). The Annals of Mathematics. (2): – doi/annals S2CID&#;

• Bhargava, Manjul (). "Higher composition laws IV: The parametrization of quintic rings"(PDF). The Annals of Mathematics. : 53– doi/annals
• Bhargava, Manjul ().
  Number theorist manjul bhargava biography pdf Hamilton, Ontario , Canada. He brings this playfulness to his lectures at Princeton too, where he became the youngest ever full mathematics professor at the age of There's a lot of information sharing that happens during talks, presentations, and mentorship meetings," she said. Philanthropy forms the other, more important part.

  "The density of discriminants of quintic rings and fields"(PDF). The Annals of Mathematics. (3): – arXiv BibcodearXivB. doi/annals

• Bhargava, Manjul; Satriano, Matthew (). "On a notion of "Galois closure" for extensions of rings". Journal of the European Mathematical Society.

  16 (9): – arXiv doi/JEMS/ MR&#; S2CID&#;

• Bhargava, Manjul; Shankar, Arul (). "Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves". Annals of Mathematics. (1): – arXiv doi/annals MR&#; S2CID&#;
• Bhargava, Manjul; Shankar, Arul ().

  "Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0". Annals of Mathematics. (2): – arXiv doi/annals S2CID&#;

See also

References

External links