Dipendra Prasad

{{Short description|Indian mathematician (born 1960)}}

{{Use Indian English|date=August 2015}}

{{Use dmy dates|date=February 2020}}

{{Infobox scientist

| image = Dipendra Prasad (cropped).jpg

| image_size = 250px

| name = Dipendra Prasad

|birth_date = {{Birth date and age|df=yes|1960|03|22}}

| birth_place = Ghazipur Uttar Pradesh

| birth_name =

| death_date =

| death_place =

| citizenship = Indian

| field = Mathematics

| work_institution = {{Nowrap|Indian Institute of Technology Bombay
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 = Gan–Gross–Prasad conjecture

| prizes = S. S. Bhatnagar Prize (2002)
TWAS Prize (2019)

| website = https://sites.google.com/view/dipendra-prasad/home

}}

Dipendra Prasad (born 1960){{cite web | url=http://insaindia.org.in/detail.php?id=P03-1342 | archive-url=https://web.archive.org/web/20160812230500/http://insaindia.org.in/detail.php?id=P03-1342 | archive-date=12 August 2016 | title=Indian Fellow: Professor Dipendra Prasad | publisher=Indian National Science Academy | accessdate=3 January 2013|url-status=usurped}} is an Indian mathematician. He is an Emeritus Fellow 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.{{Citation | last1=Gan | first1=Wee Teck | last2=Gross | first2=Benedict H. | last3=Prasad | first3=Dipendra | title=Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups | mr=3202556 | year=2012 | journal=Astérisque | isbn=978-2-85629-348-5 | volume=346 | pages=1–109}}{{cite web|url=http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1338-17.pdf|access-date=2017-03-11|date=2003|title=Restriction of Hermitian Maas Lifts and the Gross-Prasad Conjecture}}{{Cite web|url=https://www.ams.org/bookstore-getitem/item=AST-346|title = American Mathematical Society Home}} He was the president of Commission for Developing Countries (CDC) of International Mathematical Union (2018–2022){{Cite web|url=https://www.mathunion.org/organization/imu-leadership-2019-2022|title=IMU Leadership 2019 – 2022 | International Mathematical Union (IMU)}} and of Indian Math Society (2021–2022).{{Cite web|url=https://www.indianmathsociety.org.in/thecouncil.htm|title=Thecouncil}}

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.{{Cite web|url=https://iitk.ac.in/dora/profile/Dr-Dipendra-Prasad|title = Dr Dipendra Prasad}} From 1980–1985, Prasad worked as a research scholar at the Tata Institute of Fundamental Research, Mumbai (TIFR Mumbai). He then completed his PhD under the supervision of Benedict Gross at Harvard, in 1989.{{MathGenealogy|id=30163}}

Career

From 1989–1997, Prasad was a research assistant, fellow, and then reader at TIFR Mumbai. From 1992–1993, Prasad was a member of the Institute for Advanced Study. From 1994–2004, Prasad was an associate professor and then full professor at the Harish-Chandra Research Institute in Allahabad. From 2004 until 2019, Prasad was a professor at TIFR Mumbai.{{cite web|title=D. Prasad |last=Prasad |first=Dipendra |url=http://www.math.tifr.res.in/~dprasad/#exp |accessdate=27 September 2019}} In 2019, Prasad moved to the Indian Institute of Technology Bombay.{{cite web|url=http://iitb.ac.in/en/employee/prof-dipendra-prasad |title=Prof. Dipendra Prasad |website=Indian Institute of Technology Bombay |accessdate=27 September 2019}}

Awards

In recognition of his contributions, the Government of India awarded him the Shanti Swarup Bhatnagar Prize in mathematical sciences for 2002. In 2010 he was awarded the JC Bose of the Department of Science and Technology, New Delhi.{{Cite web|url=http://www.tifr.res.in/Notices/search.php?sp=20&past=Y&appid=awardshonours_notices|title = Tata Institute of Fundamental Research | TIFR|archive-url=https://web.archive.org/web/20131105025410/https://www.tifr.res.in/Notices/search.php?sp=20&past=Y&appid=awardshonours_notices|archive-date=2013-11-05|url-status=unfit}} He is also a recipient of the Swarna Jayanti Fellowship in 1999. 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

  • {{cite journal

|last1=Prasad |first1=Dipendra

|year=1990

|title=Trilinear forms for representations of \mathrm{GL}(2) and local \varepsilon-factors

|journal=Compositio Mathematica

|volume=75

|pages=1–46

|url=http://www.numdam.org/item/CM_1990__75_1_1_0/}}

  • {{cite journal

|last1=Gross | first1=Benedict H.

|last2=Prasad |first2=Dipendra

|year=1992

|title=On the decomposition of a representation of SO_n when restricted to SO_{n-1}

|journal=Canadian Journal of Mathematics

|volume=44

|pages=974–1002

|doi=10.4153/cjm-1992-060-8 |doi-access=free}}

  • {{cite journal

|last1=Prasad |first1=Dipendra

|last2=Ramakrishnan |first2=Dinakar

|year=2012

|title= On the self-dual representations of division algebras over local fields

|journal=American Journal of Mathematics

|volume= 134| issue = 3

|pages=749–772

|doi=10.1353/ajm.2012.0017|arxiv=0807.0240|s2cid=15266018 }}

  • {{cite book |last1=Gan | first1=Wee Teck |last2=Gross | first2=Benedict H. |last3=Prasad | first3=Dipendra | title=Sur les conjectures de Gross et Prasad | publisher= Astérisque (Societé mathématique de France) | publication-place=Paris | date=2012 | isbn=978-2-85629-348-5 | oclc=827954844 | chapter=Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups| pages=1-109}}
  • {{cite conference

| last1=Prasad | first1=Dipendra

| title=Ext-analogues of branching laws

| book-title=Proceedings of the International Congress of Mathematicians

| location=Rio de Janeiro

| volume=II. Invited lectures

| pages=1367–1392

| publisher=World Scientific Publishing, Hackensack, NJ

| date=2018

| doi=10.1142/9789813272880_0101

| arxiv=1306.2729}}

  • {{cite journal

| last1=Prasad | first1=Dipendra

| title=A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians

| journal=Advances in Mathematics

| volume=312

| date=2017

| pages=198–208

| doi=10.1016/j.aim.2017.03.017 | doi-access=free| arxiv=1409.3173

}}

  • {{cite journal

| last1=Prasad | first1=Dipendra

| title=A mod-p Artin–Tate conjecture, and generalizing the Herbrand–Ribet theorem

| journal=Pacific Journal of Mathematics

| volume=303

| issue=1

| date=2019

| pages=299–316

| doi=10.2140/pjm.2019.303.299| arxiv=1703.01563

| s2cid=119150809

}}

  • {{cite journal

| last1=Prasad | first1=Dipendra

| title=Generic representations for symmetric spaces

| journal=Advances in Mathematics

| volume=348

| date=2019

| pages=378–411

| doi=10.1016/j.aim.2019.03.016

| arxiv=1802.01397| s2cid=119305415

}}

  • {{cite journal

| last1=Gan | first1=Wee Teck

| last2=Gross | first2=Benedict H.

| last3=Prasad | first3=Dipendra

| title=Branching laws for classical groups: the non-tempered case

| journal=Compositio Mathematica

| volume=156

| issue=11

| date=2020

| pages=2298–2367

| doi=10.1112/S0010437X20007496

| arxiv=1911.02783| s2cid=207847322

}}

  • {{cite journal

| last1=Nair | first1=Arvind N.

| last2=Prasad | first2=Dipendra

| title=Cohomological representations for real reductive groups

| journal=Journal of the London Mathematical Society

| volume=104

| issue=4

| pages=1505–1571

| date=2021

| doi=10.1112/jlms.12468

|issn=0024-6107

| arxiv=1904.00694| s2cid=90262556

}}

Awards and honours

| url=http://www.nasi.org.in/fellows.asp?RsFilter=P

| title=Fellows – The National Academy of Sciences, India

| publisher=NASI

| accessdate=11 January 2013

| archive-date=4 March 2016

| archive-url=https://web.archive.org/web/20160304044529/http://www.nasi.org.in/fellows.asp?RsFilter=P

| url-status=dead

}}

References

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