Dipendra Prasad

Dipendra Prasad (born 1960)[1] is an Indian mathematician. He is a professor of mathematics at the Indian Institute of Technology Bombay. He is a number theorist known for his work in the areas of automorphic representations and the Gan–Gross–Prasad conjecture.[2][3][4]

Dipendra Prasad
Born (1960-03-22) 22 March 1960
CitizenshipIndian
Alma materHarvard University,
IIT Kanpur,
St. Xavier's College, Mumbai
Known forGan–Gross–Prasad conjecture
AwardsS. S. Bhatnagar Prize (2002),
TWAS Prize(2019)
Scientific career
FieldsMathematics
InstitutionsIndian Institute of Technology Bombay
Tata Institute of Fundamental Research
Harish-Chandra Research Institute
Doctoral advisorBenedict Gross
Websitehttp://www.math.tifr.res.in/~dprasad/

Two of his siblings, Gopal Prasad and Shrawan Kumar, are also mathematicians.

Education

Prasad obtained his Bachelor's degree from the St. Xavier's College, Mumbai in 1978 before moving to the Indian Institute of Technology Kanpur for a Masters which he completed in 1980. From 1980–1985, Prasad worked as a research scholar at the Tata Institute of Fundamental Research, Mumbai (TIFR Mumbai).[5] He then completed his PhD under the supervision of Benedict Gross at Harvard, in 1989.[5][6]

Career

From 1989–1997, Prasad was a research assistant, fellow, and then reader at TIFR Mumbai.[5] From 1992–1993, Prasad was a member of the Institute for Advanced Study.[5] From 1994–2004, Prasad was an associate professor and then full professor at the Harish-Chandra Research Institute in Allahabad.[5] From 2004 until 2019, Prasad was a professor at TIFR Mumbai.[5] In 2019, Prasad moved to the Indian Institute of Technology Bombay.[7]

Awards

In recognition of his contributions, the Government of India awarded him the Shanti Swarup Bhatnagar Prize in mathematical sciences for 2002. Apart from that he holds JC Bose fellowship awarded by the Department of Science and Technology, New Delhi.[8] He is also a recipient of the Swarna Jayanti Fellowship in 1999.[1] He was Invited Speaker on the International Congress of Mathematicians 2018 in Rio de Janeiro in Section 7 (Lie Groups and Generalizations) with the talk 'Ext-analogues of branching laws'.

Selected publications
  • Prasad, Dipendra (1990). "Trilinear forms for representations of and local -factors". Compositio Mathematica. 75: 1–46.
  • B. H. Gross, D. Prasad (1991). "Test vectors for linear forms". Math. Ann. 291: 343–355. doi:10.1007/bf01445212.
  • B. H. Gross; D. Prasad (1992). "On the decomposition of a representation of when restricted to ". Canadian Journal of Mathematics. 44: 974–1002. doi:10.4153/cjm-1992-060-8.
  • Prasad, Dipendra (2007). "Relating invariant linear form and local epsilon factors via global methods, with an appendix by H. Saito". Duke Mathematical Journal. 138 (2): 233–261. arXiv:math/0512151. doi:10.1215/s0012-7094-07-13823-7.
  • D. Prasad; Ramin Takloo-Bighash (2011). "Bessel models for ". Crelle's Journal. 655: 189–243.
  • D. Prasad; Dinakar Ramakrishnan (2012). "On the self-dual representations of division algebras over local fields". American Journal of Mathematics. 134 (3): 749–772. arXiv:0807.0240. doi:10.1353/ajm.2012.0017.
  • W. T. Gan; B. H. Gross; D. Prasad (2012). "Sur les conjectures de Gross et Prasad. I. (French) [On the conjectures of Gross and Prasad. I]". Astérisque. No. 346: 1–110.

Awards and honours

References
  1. "Indian Fellow: Professor Dipendra Prasad". Indian National Science Academy. Archived from the original on 12 August 2016. Retrieved 3 January 2013.
  2. Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra (2012), "Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups", Astérisque, 346: 1–109, ISBN 978-2-85629-348-5, MR 3202556
  3. "Restriction of Hermitian Maas Lifts and the Gross-Prasad Conjecture" (PDF). 2003. Retrieved 11 March 2017.
  4. http://www.ams.org/bookstore-getitem/item=AST-346
  5. Prasad, Dipendra. "D. Prasad". Retrieved 27 September 2019.
  6. Dipendra Prasad at the Mathematics Genealogy Project
  7. "Prof. Dipendra Prasad". Indian Institute of Technology Bombay. Retrieved 27 September 2019.
  8. http://www.tifr.res.in/Notices/search.php?sp=20&past=Y&appid=awardshonours_notices
  9. "Semesters". Chaire Jean-Morlet. Retrieved 20 July 2017.
  10. "Fellows – The National Academy of Sciences, India". NASI. Retrieved 11 January 2013.
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