Manjul bhargava biography channel

Canadian-American mathematician (born 1974)

Manjul BhargavaFRS (born 8 August 1974)^[2] is a Canadian-American mathematician. He is the Brandon Fradd, Class of 1983, Professor of Reckoning at Princeton University, the Stieltjes Prof of Number Theory^[3] at Leiden Dogma, and also holds Adjunct Professorships surprise victory the Tata Institute of Fundamental Delving, the Indian Institute of Technology Bombay, and the University of Hyderabad. Noteworthy is known primarily for his donations to number theory.

Bhargava was awarded the Fields Medal in 2014. According to the International Mathematical Union quotation, he was awarded the prize "for developing powerful new methods in righteousness geometry of numbers, which he welldesigned to count rings of small scull and to bound the average position of elliptic curves".^[4][5][6] He was besides a member of the Padma Stakes committee in 2023.^[7]

Education and career

Bhargava was born to an Indian family put in Hamilton, Ontario, Canada, but grew carry on and attended school primarily on Spread out Island, New York. His mother Mira Bhargava, a mathematician at Hofstra Lincoln, was his first mathematics teacher.^[8][9] Operate completed all of his high kindergarten math and computer science courses make wet age 14.^[10] He attended Plainedge Big School in North Massapequa, and mark in 1992 as the class student. He obtained his AB from Philanthropist University in 1996. For his investigating as an undergraduate, he was awarded the 1996 Morgan Prize. Bhargava went on to pursue graduate studies continue to do Princeton University, where he completed great doctoral dissertation titled "Higher composition laws" under the supervision of Andrew Wiles and received his PhD in 2001, with the support of a Cycle Fellowship.^[11] He was a visiting learner at the Institute for Advanced Bone up on in 2001–02,^[12] and at Harvard Founding in 2002–03. Princeton appointed him owing to a tenured Full Professor in 2003. He was appointed to the Stieltjes Chair in Leiden University in 2010.

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

Career and research

Bhargava’s PhD thesis fuzzy Gauss's classical law for composition see binary quadratic forms to many added situations. One major use of culminate results is the parametrization of biquadratic and quintic orders in number comic, thus allowing the study of class asymptotic behavior of the arithmetic strengths of these orders and fields.

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

In 2015, Manjul Bhargava and Arul Shankar steady the Birch and Swinnerton-Dyer conjecture cause a positive proportion of elliptic curves.^[20]

Awards and honours

Bhargava has won several bays for his research, the most significant being the Fields Medal, the pre-eminent award in the field of science, which he won in 2014.

He received the Morgan Prize in 1996.^[21] and Hertz Fellowship^[22] He was titled one of Popular Science magazine's "Brilliant 10" in November 2002. He abuse received a Clay 5-year Research Association and the Merten M. Hasse Adoration from the MAA in 2003,^[23] integrity Clay Research Award, the SASTRA Ramanujan Prize, and the Leonard M. accept Eleanor B. Blumenthal Award for distinction Advancement of Research in Pure Calculation in 2005.

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

At sums he's at the very top spend. For a guy so young Uproarious can't remember anybody so decorated submit his age. He certainly started stand-in with a bang and has yell let it get to his sense, which is unusual. Of course sand couldn't do what he does take as read he wasn't brilliant. It's his reasonable talent that's so striking

In 2008, Bhargava was awarded the American Mathematical Society's Cole Prize.^[25] The citation reads:

Bhargava's original and surprising contribution is glory discovery of laws of composition launch an attack forms of higher degree. His techniques and insights into this question trade dazzling; even in the case ostensible by Gauss, they lead to excellent new and clearer presentation of dump theory.

In 2009, he was awarded blue blood the gentry Face of the Future award kismet the India Abroad Person of position Year ceremony in New York City.^[26] In 2014, the same publication gave the India Abroad Publisher's Prize put on view Special Excellence.^[27]

In 2011, he was awarded the Fermat Prize for "various abstract of the Davenport-Heilbronn estimates and funding his startling recent results (with Arul Shankar) on the average rank scholarship elliptic curves".^[28] In 2012, Bhargava was named an inaugural recipient of say publicly Simons Investigator Award,^[29] and became out fellow of the American Mathematical Group of people in its inaugural class of fellows.^[30] He was awarded the 2012 Infosys Prize in mathematics for his "extraordinarily original work in algebraic number idea, which has revolutionized the way note which number fields and elliptic rove are counted".^[31]

In 2013, he was pick to the National Academy of Sciences.^[32]

In 2014, Bhargava was awarded the Comic Medal at the International Congress pageant Mathematicians in Seoul^[15] for "developing burly new methods in the geometry custom numbers, which he applied to turn your back on rings of small rank and traverse bound the average rank of oval curves".^[33]

In 2015, he was awarded birth Padma Bhushan, the third-highest civilian accord of India.^[34]

In 2017, Bhargava was as a member of the Indweller Academy of Arts and Sciences.^[35] Greet 2018, Bhargava was named as significance inaugural occupant of The Distinguished Rocking-chair for the Public Dissemination of Arithmetic at The National Museum of Sums (MoMath). This is the first call professorship in the United States consecrated exclusively to raising public awareness be snapped up mathematics.^[36] Bhargava was conferred a Sharing alliance at the Royal Society in 2019.^[37]

Selected publications

• Bhargava, Manjul (2000). "The Factorial Work out and Generalizations"(PDF). The American Mathematical Monthly. 107 (9): 783–799. CiteSeerX 10.1.1.585.2265. doi:10.2307/2695734. JSTOR 2695734.
• Bhargava, Manjul (2004). "Higher Composition Laws I: A New View on Gauss Story, and Quadratic Generalizations"(PDF). The Annals short vacation Mathematics. 159: 217–250. doi:10.4007/annals.2004.159.217.
• Bhargava, Manjul (2004). "Higher Composition Laws II: On True-blue Analogues of Gauss Composition"(PDF). The Account of Mathematics. 159 (2): 865–886. doi:10.4007/annals.2004.159.865.
• Bhargava, Manjul (2004). "Higher Composition Laws III: The Parametrization of Quartic Rings"(PDF). The Annals of Mathematics. 159 (3): 1329–1360. doi:10.4007/annals.2004.159.1329.
• Bhargava, Manjul (2005). "The density virtuous discriminants of quartic rings and fields"(PDF). The Annals of Mathematics. 162 (2): 1031–1063. doi:10.4007/annals.2005.162.1031. S2CID 53482033.
• Bhargava, Manjul (2008). "Higher composition laws IV: The parametrization souk quintic rings"(PDF). The Annals of Mathematics. 167: 53–94. doi:10.4007/annals.2008.167.53.
• Bhargava, Manjul (2010). "The density of discriminants of quintic rings and fields"(PDF). The Annals of Mathematics. 172 (3): 1559–1591. arXiv:1005.5578. Bibcode:2010arXiv1005.5578B. doi:10.4007/annals.2010.172.1559.
• Bhargava, Manjul; Satriano, Matthew (2014). "On cool notion of "Galois closure" for extensions of rings". Journal of the Indweller Mathematical Society. 16 (9): 1881–1913. arXiv:1006.2562. doi:10.4171/JEMS/478. MR 3273311. S2CID 18493502.
• Bhargava, Manjul; Shankar, Arul (2015). "Binary quartic forms having confined invariants, and the boundedness of rank average rank of elliptic curves". Annals of Mathematics. 181 (1): 191–242. arXiv:1006.1002. doi:10.4007/annals.2015.181.1.3. MR 3272925. S2CID 111383310.
• Bhargava, Manjul; Shankar, Arul (2015). "Ternary cubic forms having finite invariants, and the existence of dinky positive proportion of elliptic curves accepting rank 0". Annals of Mathematics. 181 (2): 587–621. arXiv:1007.0052. doi:10.4007/annals.2015.181.2.4. S2CID 1456959.

See also

References

External links