Dipendra Prasad

Indian mathematician

Dipendra Prasad

Born|  (1960-03-22) 22 March 1960 (age 63)

Ghazipur Uttar Pradesh

Citizenship| Indian
Alma mater| Harvard University
IIT Kanpur
St. Xavier's College, Mumbai
Known for| Gan–Gross–Prasad conjecture
Awards| S. S. Bhatnagar Prize (2002)
TWAS Prize (2019)
Scientific career
Fields| Mathematics
Institutions| Indian Institute of Technology Bombay
Tata Institute of Fundamental Research
Harish-Chandra Research Institute
Doctoral advisor| Benedict Gross
Website| https://sites.google.com/view/dipendra-prasad/home

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] He is currently the president of Commission for Developing Countries (CDC) of International Mathematical Union (2018–2022)[5] and of Indian Math Society (2021–2022).[6]

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

## Education[edit]

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.[7] From 1980–1985, Prasad worked as a research scholar at the Tata Institute of Fundamental Research, Mumbai (TIFR Mumbai).[8] He then completed his PhD under the supervision of Benedict Gross at Harvard, in 1989.[8][9]

## Career[edit]

From 1989–1997, Prasad was a research assistant, fellow, and then reader at TIFR Mumbai.[8] From 1992–1993, Prasad was a member of the Institute for Advanced Study.[8] From 1994–2004, Prasad was an associate professor and then full professor at the Harish-Chandra Research Institute in Allahabad.[8] From 2004 until 2019, Prasad was a professor at TIFR Mumbai.[8] In 2019, Prasad moved to the Indian Institute of Technology Bombay.[10]

## Awards[edit]

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.[11][failed verification] 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[edit]

* Prasad, Dipendra (1990). "Trilinear forms for representations of  G L ( 2 ) {\displaystyle \mathrm {GL} (2)} and local  ε {\displaystyle \varepsilon } -factors". Compositio Mathematica. 75: 1–46.
* Gross, Benedict H.; Prasad, Dipendra (1992). "On the decomposition of a representation of  S O n {\displaystyle SO_{n}} when restricted to  S O n − 1 {\displaystyle SO_{n-1}} ". Canadian Journal of Mathematics. 44: 974–1002. doi:10.4153/cjm-1992-060-8.
* Prasad, Dipendra; Ramakrishnan, Dinakar (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. S2CID 15266018.
* Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra; Waldspurger, Jean-Loup (2012). "Sur les conjectures de Gross et Prasad. I. (French) [On the conjectures of Gross and Prasad. I]". Astérisque. No. 346: 1–110.
* Prasad, Dipendra (2018). "Ext-analogues of branching laws". Proceedings of the International Congress of Mathematicians. Vol. II. Invited lectures. Rio de Janeiro: World Scientific Publishing, Hackensack, NJ. pp. 1367–1392. arXiv:1306.2729. doi:10.1142/9789813272880_0101.
* Prasad, Dipendra (2017). "A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians". Advances in Mathematics. 312: 198–208. arXiv:1409.3173. doi:10.1016/j.aim.2017.03.017.
* Prasad, Dipendra (2019). "A mod-p Artin–Tate conjecture, and generalizing the Herbrand–Ribet theorem". Pacific Journal of Mathematics. 303 (1): 299–316. arXiv:1703.01563. doi:10.2140/pjm.2019.303.299. S2CID 119150809.
* Prasad, Dipendra (2019). "Generic representations for symmetric spaces". Advances in Mathematics. 348: 378–411. arXiv:1802.01397. doi:10.1016/j.aim.2019.03.016. S2CID 119305415.
* Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra (2020). "Branching laws for classical groups: the non-tempered case". Compositio Mathematica. 156 (11): 2298–2367. arXiv:1911.02783. doi:10.1112/S0010437X20007496. S2CID 207847322.
* Nair, Arvind N.; Prasad, Dipendra (2021). "Cohomological representations for real reductive groups". Journal of the London Mathematical Society. 104 (4): 1505–1571. arXiv:1904.00694. doi:10.1112/jlms.12468. ISSN 0024-6107. S2CID 90262556.

## Awards and honours[edit]

* TWAS Prize, The World Academy of Sciences
* Invited speaker at ICM(2018)
* Jean-Morlet Chair, Centre International de Rencontres Mathématiques (2016)[12]
* 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).[13]
* Fellow, Indian Academy of Sciences (1995).

## References[edit]

1. ^ a b c "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. ^ "American Mathematical Society Home".
5. ^ "IMU Leadership 2019 – 2022 | International Mathematical Union (IMU)".
6. ^ "Thecouncil".
7. ^ "Dr Dipendra Prasad".
8. ^ a b c d e f Prasad, Dipendra. "D. Prasad". Retrieved 27 September 2019.
9. ^ Dipendra Prasad at the Mathematics Genealogy Project
10. ^ "Prof. Dipendra Prasad". Indian Institute of Technology Bombay. Retrieved 27 September 2019.
11. ^ "Tata Institute of Fundamental Research | TIFR".
12. ^ "Semesters". Chaire Jean-Morlet. Retrieved 20 July 2017.
13. ^ "Fellows – The National Academy of Sciences, India". NASI. Archived from the original on 4 March 2016. Retrieved 11 January 2013.

## External links[edit]

* Dipendra Prasad at the Mathematics Genealogy Project

* v
* t
* e

Recipients of Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science

1950s-70s|

* K. S. Chandrasekharan & C. R. Rao (1959)
* K. G. Ramanathan (1965)
* A. S. Gupta & C. S. Seshadri (1972)
* P. C. Jain & M. S. Narasimhan (1975)
* K. R. Parthasarathy & S. K. Trehan (1976)
* M. S. Raghunathan (1977)
* E. M. V. Krishnamurthy (1978)
* S. Raghavan & S. Ramanan (1979)

1980s|

* R. Sridharan (1980)
* J. K. Ghosh (1981)
* B. L. S. Prakasa Rao & J. B. Shukla (1982)
* I. B. S. Passi & Phoolan Prasad (1983)
* S. K. Malik & R. Parthasarathy (1985)
* T. Parthasarathy & U. B. Tewari (1986)
* Raman Parimala & T. N. Shorey (1987)
* M. B. Banerjee & K. B. Sinha (1988)
* Gopal Prasad (1989)

1990s|

* R. Balasubramanian & S. G. Dani (1990)
* V. B. Mehta & A. Ramanathan (1991)
* Maithili Sharan (1992)
* Karmeshu & Navin M. Singhi (1993)
* N. Mohan Kumar (1994)
* Rajendra Bhatia (1995)
* V. S. Sunder (1996)
* Subhashis Nag & T. R. Ramadas (1998)
* Rajeeva Laxman Karandikar (1999)

2000s|

* Rahul Mukerjee (2000)
* Gadadhar Misra & T. N. Venkataramana (2001)
* Dipendra Prasad & S. Thangavelu (2002)
* Manindra Agrawal & V. Srinivas (2003)
* Arup Bose & Sujatha Ramdorai (2004)
* Probal Chaudhuri & K. H. Paranjape (2005)
* Vikraman Balaji & Indranil Biswas (2006)
* B. V. Rajarama Bhat (2007)
* Rama Govindarajan (2007)
* Jaikumar Radhakrishnan (2008)
* Suresh Venapally (2009)

2010s|

* Mahan Mitra & Palash Sarkar (2011)
* Siva Athreya & Debashish Goswami (2012)
* Eknath Prabhakar Ghate (2013)
* Kaushal Kumar Verma (2014)
* K Sandeep & Ritabrata Munshi (2015)
* Amalendu Krishna (2016)
* Naveen Garg (2016)
* (Not awarded) (2017)
* Amit Kumar & Nitin Saxena (2018)
* Neena Gupta & Dishant Mayurbhai Pancholi (2019)

2020s|

* Rajat Subhra Hazra (2020)
* U. K. Anandavardhanan (2020)
* Anish Ghosh (2021)
* Saket Saurabh (2021)
* Apoorva Khare (2022)
* Neeraj Kayal (2022)

Authority control databases

International|

* ISNI
* VIAF

National|

* Germany
* Israel
* United States

Academics|

* DBLP
* Google Scholar
* MathSciNet
* Mathematics Genealogy Project
* Scopus
* zbMATH

Other|

* IdRef

*[v]: View this template
*[t]: Discuss this template
*[e]: Edit this template