Dipendra Prasad

Dipendra Prasad
Born	22 March 1960
Residence	Mumbai, India
Citizenship	Indian
Fields	Mathematics
Institutions	Tata Institute of Fundamental Research, Harish-Chandra Research Institute
Alma mater	Harvard University, IIT Kanpur, St. Xavier's College, Mumbai
Doctoral advisor	Benedict Gross
Known for	Automorphic representations, Number theory
Notable awards	S. S. Bhatnagar Prize (2002)
Website http://www.math.tifr.res.in/~dprasad/

Dipendra Prasad (born 1960)^[1] is an Indian mathematician. He is a professor of mathematics at the School of mathematics, Tata Institute of Fundamental Research, Mumbai for the past decade. Earlier, he was at the Harish-Chandra Research Institute in Allahabad for about a decade. He is a number theorist known for his work in the areas of automorphic representations. He is well known for "Gross-Prasad Conjectures"^[2][2] which have attracted a considerable interest among Number Theorists.^[3]

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.^[3] He is also a recipient of the Swarna Jayanti Fellowship in 1999.^[4]

Early life

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. He then completed his PHD under the supervision of Benedict Gross at Harvard, in 1989. Two of his siblings, Gopal Prasad and Shrawan Kumar, are also in mathematics.

Selected publications

• Prasad, Dipendra (1990). "Trilinear forms for representations of ${\displaystyle \mathrm {GL} (2)}$ and local $\varepsilon$-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 ${\displaystyle SO_{n}}$ when restricted to ${\displaystyle SO_{n-1}}$". Canad. J. Math. 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. doi:10.1215/s0012-7094-07-13823-7.
• D. Prasad; Ramin Takloo-Bighash (2011). "Bessel models for ${\displaystyle GSp(4)}$". 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. doi:10.1353/ajm.2012.0017.
• Gan, W. T.; 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: 318.

Awards and honours

• Fellow, Indian National Science Academy (2003).^[1]
• Shanti Swarup Bhatnagar Prize for Science and Technology, 2002.
• Fellow of The National Academy of Sciences, India (1997).^[5]
• Fellow, Indian Academy of Sciences (1995).

References

1. "Indian Fellow: Professor Dipendra Prasad". Indian National Science Academy. Retrieved 3 January 2013.
2. http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1338-17.pdf
3. http://www.ams.org/bookstore-getitem/item=AST-346
4. http://insaindia.org/detail.php?id=P03-1342
5. "Fellows – The National Academy of Sciences, India". NASI. Retrieved 11 January 2013.

External links

• Dipendra Prasad at the Mathematics Genealogy Project