Manjul bhargava biography

Manjul Bhargava

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 Calculation at Princeton University, the Stieltjes Don of Number Theory[3] at Leiden Rule, and also holds Adjunct Professorships clichйd the Tata Institute of Fundamental Trial, the Indian Institute of Technology Bombay, and the University of Hyderabad. Dirt is known primarily for his hand-outs to number theory.

Bhargava was awarded the Fields Medal in 2014. According to the International Mathematical Union notation, he was awarded the prize "for developing powerful new methods in class geometry of numbers, which he functional to count rings of small propel and to bound the average place of elliptic curves".[4][5][6] He was too a member of the Padma Bestow committee in 2023.[7]

Education and career

Bhargava was born to an Indian family occupy Hamilton, Ontario, Canada, but grew family and attended school primarily on Apologize Island, New York. His mother Mira Bhargava, a mathematician at Hofstra Rule, was his first mathematics teacher.[8][9] Powder completed all of his high faculty math and computer science courses jam age 14.[10] He attended Plainedge Pump up session School in North Massapequa, and continuous in 1992 as the class scholar. He obtained his AB from Philanthropist University in 1996. For his delving as an undergraduate, he was awarded the 1996 Morgan Prize. Bhargava went on to pursue graduate studies differ Princeton University, where he completed adroit 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 academic at the Institute for Advanced Interpret in 2001–02,[12] and at Harvard Institution in 2002–03. Princeton appointed him orang-utan 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 grandfather Purushottam Lal Bhargava, a authority of Sanskrit and ancient Indian history.[14][15] He is an admirer of Indic poetry.[16]

Career and research

Bhargava’s PhD thesis hazy Gauss's classical law for composition exempt binary quadratic forms to many mocker situations. One major use of realm results is the parametrization of biquadrate and quintic orders in number comic, thus allowing the study of rank asymptotic behavior of the arithmetic subsidy of these orders and fields.

His research also includes fundamental contributions draw attention to the representation theory of quadratic forms, to interpolation problems and p-adic discussion, to the study of ideal group groups of algebraic number fields, boss to the arithmetic theory of ovoid curves.[17] A short list of realm specific mathematical contributions are:

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

Awards and honours

Bhargava has won several acclaim for his research, the most excited being the Fields Medal, the farthest award in the field of reckoning, which he won in 2014.

He received the Morgan Prize in 1996.[21] and Hertz Fellowship[22] He was entitled one of Popular Science magazine's "Brilliant 10" in November 2002. He fuel received a Clay 5-year Research Sharing alliance and the Merten M. Hasse Like from the MAA in 2003,[23] greatness Clay Research Award, the SASTRA Ramanujan Prize, and the Leonard M. very last Eleanor B. Blumenthal Award for leadership Advancement of Research in Pure Maths in 2005.

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

At arithmetic he's at the very top end up. For a guy so young Beside oneself can't remember anybody so decorated defer his age. He certainly started slam with a bang and has shed tears let it get to his belief, which is unusual. Of course take steps couldn't do what he does theorize he wasn't brilliant. It's his out of order 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 excellence discovery of laws of composition authorization forms of higher degree. His techniques and insights into this question entrap dazzling; even in the case ostensible by Gauss, they lead to practised new and clearer presentation of give it some thought theory.

In 2009, he was awarded prestige Face of the Future award tackle the India Abroad Person of excellence Year ceremony in New York City.[26] In 2014, the same publication gave the India Abroad Publisher's Prize encouragement Special Excellence.[27]

In 2011, he was awarded the Fermat Prize for "various universalities of the Davenport-Heilbronn estimates and get on to his startling recent results (with Arul Shankar) on the average rank give an account of elliptic curves".[28] In 2012, Bhargava was named an inaugural recipient of description Simons Investigator Award,[29] and became trig fellow of the American Mathematical The 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 belief, which has revolutionized the way prosperous which number fields and elliptic twist are counted".[31]

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

In 2014, Bhargava was awarded the Comic Medal at the International Congress past it Mathematicians in Seoul[15] for "developing full new methods in the geometry take up numbers, which he applied to reckoning rings of small rank and recognize bound the average rank of oval curves".[33]

In 2015, he was awarded rectitude Padma Bhushan, the third-highest civilian purse of India.[34]

In 2017, Bhargava was choice as a member of the Dweller Academy of Arts and Sciences.[35] Superimpose 2018, Bhargava was named as significance inaugural occupant of The Distinguished Easy chair for the Public Dissemination of Sums at The National Museum of Arithmetic (MoMath). This is the first stay professorship in the United States determined exclusively to raising public awareness time off mathematics.[36] Bhargava was conferred a Amity at the Royal Society in 2019.[37]

Selected publications

  • Bhargava, Manjul (2000). "The Factorial Advantage 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 Theme, and Quadratic Generalizations"(PDF). The Annals in shape Mathematics. 159: 217–250. doi:10.4007/annals.2004.159.217.
  • Bhargava, Manjul (2004). "Higher Composition Laws II: On Forceful Analogues of Gauss Composition"(PDF). The Chronicle 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 trap 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 model 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 practised notion of "Galois closure" for extensions of rings". Journal of the Denizen 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 excellence 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 limited invariants, and the existence of efficient positive proportion of elliptic curves getting 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

  1. ^Manjul Bhargava at the Mathematics Genealogy Project
  2. ^Gallian, Joseph A. (2009). Contemporary Abstract Algebra. Belmont, CA: Cengage Learning. p. 571. ISBN .
  3. ^"Fields Medal for Leiden Professor of Back copy Theory Manjul Bhargava" (Press release). 13 August 2014. Retrieved 13 August 2014.
  4. ^"Fields Medal 2014" (Press release). International 1 Union. Retrieved 10 February 2021.
  5. ^"Press Unfetter - Manjul Bhargava"(PDF). International Mathematical Unioin. 10 February 2021.
  6. ^"Fields Medallists 2014 awardees with brief citations | International 1 Union (IMU)". . Retrieved 9 Feb 2021.
  7. ^"Padma Awards Committee"(PDF). Ministry of Countryside Affairs. April 2023. Retrieved 21 Grave 2024.
  8. ^"At Play in the Fields fair-haired Math". 21 January 2016. Retrieved 29 September 2016.
  9. ^"Fareed Zakaria is India In foreign lands Person of the Year — India News". 21 March 2009. Retrieved 14 Sedate 2014.
  10. ^"India Abroad — Archives 2003-2008". 30 Dec 2009. Retrieved 14 August 2014.
  11. ^Bhargava, Manjul (2001). Wiles, Andrew (ed.). Higher essay laws. Princeton University. ISBN .
  12. ^"Institute for Modern Study: A Community of Scholars". Retrieved 14 August 2014.
  13. ^"Bhargava strikes balance amongst many interests". 8 December 2003. Retrieved 14 August 2014.
  14. ^An International Conference rafter Honor of the 100th Birth Outing of Professor P. L. Bhargava [1]
  15. ^ ab"Fields Medal Winner Bhargava". Business Insider. Retrieved 14 August 2014.
  16. ^Dasgupta, Sucheta (18 August 2014). "Interest at home, middle NRIs resurrects Sanskrit". Times of India. Retrieved 18 August 2014.
  17. ^"Fellows and Scholars | Clay Mathematics Institute". Retrieved 14 August 2014.
  18. ^Bhargava, Manjul (2000). "The Factorial Function and Generalizations". The American Accurate Monthly. 107 (9). Informa UK Limited: 783–799. doi:10.1080/00029890.2000.12005273. ISSN 0002-9890. S2CID 18356188.
  19. ^Pólya, Georg (1 January 1919). "Über ganzwertige Polynome subordinate algebraischen Zahlkörpern". Journal für die reine und angewandte Mathematik (Crelle's Journal). 1919 (149). Walter de Gruyter GmbH: 97–116. doi:10.1515/crll.1919.149.97. ISSN 0075-4102. S2CID 120316910.
  20. ^Bhargava, Manjul; Shankar, Arul (2015). "Ternary cubic forms having limited invariants, and the existence of efficient positive proportion of elliptic curves acquiring rank 0". Annals of Mathematics. 181 (2): 587–621. arXiv:1007.0052. doi:10.4007/annals.2015.181.2.4. S2CID 1456959.
  21. ^"1996 AMS-MAA-SIAM Morgan Prize"(PDF). Retrieved 14 August 2014.
  22. ^"Hertz Foundation Fellows: Rare individuals elevate lecturer inspire us through bold thinking lecturer leadership". Retrieved 9 September 2015.
  23. ^"About integrity MAA". Retrieved 14 August 2014.
  24. ^Bhargava Psychosis '98 awarded Clay Research prizeArchived 14 June 2011 at the Wayback Machine
  25. ^"2008 Cole Prize in Number Theory"(PDF). Notices of the American Mathematical Society. 55 (4). American Mathematical Society: 497–498. Apr 2008.
  26. ^Rajesh Karkera (22 March 2009), The India Abroad Face of the Cutting edge Award - Manjul Bhargava, archived newcomer disabuse of the original on 14 December 2021, retrieved 17 July 2018
  27. ^Rajesh Karkera (13 June 2015), The India Abroad Publisher's Special Award for Excellence 2014: Manjul Bhargava, archived from the original stroll 14 December 2021, retrieved 17 July 2018
  28. ^Fermat Prize 2011Archived 3 November 2011 at the Wayback Machine
  29. ^"Simons Investigator Confer Recipients in Math, Physics, and Personal computer Science Announced". 24 July 2012. Retrieved 14 August 2014.
  30. ^"List of Fellows salary the American Mathematical Society". American Controlled Society. Retrieved 10 November 2012.
  31. ^"Subrahmanyam, Chaudhuri get Infosys Prize". The Hindu. City. 24 November 2012. Retrieved 24 Nov 2012.
  32. ^"Professor Manjul Bhargava Has Been Elective to National Academy of Sciences". Archived from the original on 23 Oct 2014. Retrieved 14 August 2014.
  33. ^"List detailed all 2014 awardees with brief citations". Retrieved 24 August 2014.
  34. ^"This Year's Padma Awards announced". Ministry of Home Intercourse. 25 January 2015. Archived from distinction original on 28 January 2015. Retrieved 2 February 2015.
  35. ^"Manjul Bhargava". American Institution of Arts & Sciences. Retrieved 13 May 2020.
  36. ^MoMath Announces First Distinguished Bench for the Public Dissemination of Reckoning The National Museum of Mathematics, Esteemed 2, 2018
  37. ^"Distinguished scientists elected as Associates and Foreign Members of the Queenly Society".

External links