Annamalai Ramanathan: Difference between revisions
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{{Short description|Indian mathematician}} |
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| ⚫ | '''Annamalai Ramanathan''' ( |
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{{Use Indian English|date=August 2015}} |
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{{Use dmy dates|date=August 2015}} |
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| ⚫ | '''Annamalai Ramanathan''' (29 August 1946 – 12 March 1993) was an Indian [[mathematician]] in the field of [[algebraic geometry]], who introduced the notion of [[Frobenius splitting]] of algebraic varieties jointly with [[Vikram Bhagvandas Mehta]] in {{harv|Mehta|Ramanathan|1985}}. The notion of [[Frobenius splitting]] led to the solution of many classical problems, in particular a proof of the [[Demazure character formula]] and results on the equations defining [[Schubert varieties]] in general flag manifolds. |
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==Research |
==Research career== |
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Ramanathan got his B.Sc in Mathematics at [[Ramakrishna Mission Vivekananda College]], and was recruited to attend [[TIFR]], where he got his Ph.D. in Mathematics in 1976. His thesis on moduli for principal bundles was published in 1996 in two papers in Proc. Indian Acad. Sci. three years after his death.<ref>Moduli for principal bundles over algebraic curves I and II, Proc. Indian Acad. Sci. (Math. Sci.), Vol. 106, No. 3, August 1996</ref> |
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Dr. Ramanathan, was a Professor of Mathematics at the [[Tata Institute of Fundamental Research|TIFR]] in Bombay, India, and was a |
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| ⚫ | Ramanathan, was a Professor of Mathematics at the [[Tata Institute of Fundamental Research|TIFR]] in Bombay, India. He has also been employed at [[University of Bonn]], [[Johns Hopkins University]] and [[University of Illinois at Urbana-Champaign]]. Ramanathan made significant contributions to many areas of mathematics, including moduli of vector bundles, [[Gauge theory]], algebraic geometry in positive characteristic and [[representation theory]]. |
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===Awards=== |
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| ⚫ | The [[Council of Scientific and Industrial Research]] awarded he and his collaborator [[ |
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==Awards== |
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Annamalai Ramanathan was third of four children born to C.A.C.R.M Annamalai and Lakshmi. He got his B.Sc in Mathematics at [[Ramakrishna_Mission_Vivekananda_College]], and was recruited to attend TIFR, where he got his Ph.D. in Mathematics working with [[S._Ramanan]], resulting in the publications<ref> Ramanan, S., Ramanathan A. Some remarks on the instability flag. Tohoku Math. J. (2) 36 (1984), no. 2, 269-291.</ref><ref> |
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Ramanan, S., Ramanathan, A. Projective normality of flag varieties and Schubert varieties. Invent. Math. 79 (1985), no. 2, 217–224. </ref>. Ramanathan was crippled |
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by adult onset polio in his late teens, and he used a crutch for the rest of his life. <ref>Oral conversations, 1992</ref>. |
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==Personal life== |
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During his tenure as a visiting |
During his tenure as a visiting professor at [[University of Illinois at Urbana-Champaign]], Ramanathan died in [[Chicago]], Friday, 12 March 1993, of complications |
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following treatment for a heart attack |
following treatment for a heart attack. He is survived by his wife RM. Vasantha and three daughters Lakshmi Valli Priya.<ref>Obituary posted online, at sci.math.research, https://groups.google.com/forum/?fromgroups#!searchin/sci.math.research/annamalai$20ramanathan$20dies/sci.math.research/gjq0hyMv1K4/fXGU-BNWsP4J%5B1-25%5D</ref> |
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==Sources== |
==Sources== |
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*{{Citation | last1=Mehta | first1=V. B. | last2=Ramanathan | first2=A. | title=Frobenius splitting and cohomology vanishing for Schubert varieties | doi=10.2307/1971368 | mr=799251 | year=1985 | journal=[[Annals of Mathematics |
*{{Citation | last1=Mehta | first1=V. B. | last2=Ramanathan | first2=A. | title=Frobenius splitting and cohomology vanishing for Schubert varieties | doi=10.2307/1971368 | mr=799251 | year=1985 | journal=[[Annals of Mathematics]] |series=Second Series | issn=0003-486X | volume=122 | issue=1 | pages=27–40| jstor=1971368 }} |
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*{{Citation | last1=Ramanan | first1=S. | last2=Ramanathan | first2=A. | title=Projective normality of flag varieties and Schubert varieties | doi=10.1007/BF01388970 | mr=778124 | year=1985 | journal=[[Inventiones Mathematicae]] | issn=0020-9910 | volume=79 | issue=2 | pages=217–224}} |
*{{Citation | last1=Ramanan | first1=S. | last2=Ramanathan | first2=A. | title=Projective normality of flag varieties and Schubert varieties | doi=10.1007/BF01388970 | mr=778124 | year=1985 | journal=[[Inventiones Mathematicae]] | issn=0020-9910 | volume=79 | issue=2 | pages=217–224| bibcode=1985InMat..79..217R | s2cid=123105737 | url=http://repository.ias.ac.in/34068/1/34068.pdf }} |
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==External links== |
==External links== |
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*[http://www.csir.res.in/ |
*[https://web.archive.org/web/20120218182837/http://www.csir.res.in/external/heads/career/award/BPRIZE/MATHEMATICAL_SCIENCES.htm Annamalai Ramanathan ] citation |
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==References== |
==References== |
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{{SSBPST recipients in Mathematical Science}} |
{{SSBPST recipients in Mathematical Science}} |
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{{Shanti Swarup Bhatnagar Laureates of Tamil Nadu}} |
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{{authority control}} |
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{{Persondata |
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| NAME = Ramanathan, Annamalai |
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| ALTERNATIVE NAMES = |
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| SHORT DESCRIPTION = Mathematician, Researcher |
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| DATE OF BIRTH = 1949, August, 29 |
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| PLACE OF BIRTH = Kanadukathan, TamilNadu, India |
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| DATE OF DEATH = 1993, March, 12 |
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| PLACE OF DEATH = Chicago, IL, USA |
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}} |
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{{DEFAULTSORT:Ramanathan, Annamalai}} |
{{DEFAULTSORT:Ramanathan, Annamalai}} |
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[[Category:Indian mathematicians]] |
[[Category:20th-century Indian mathematicians]] |
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[[Category: |
[[Category:1993 deaths]] |
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[[Category:1949 births]] |
[[Category:1949 births]] |
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[[Category:Tata Institute of Fundamental Research alumni]] |
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[[Category:Recipients of the Shanti Swarup Bhatnagar Award in Mathematical Science]] |
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[[Category:Polio survivors]] |
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Latest revision as of 20:27, 16 May 2024
Annamalai Ramanathan (29 August 1946 – 12 March 1993) was an Indian mathematician in the field of algebraic geometry, who introduced the notion of Frobenius splitting of algebraic varieties jointly with Vikram Bhagvandas Mehta in (Mehta & Ramanathan 1985). The notion of Frobenius splitting led to the solution of many classical problems, in particular a proof of the Demazure character formula and results on the equations defining Schubert varieties in general flag manifolds.
Research career
[edit]Ramanathan got his B.Sc in Mathematics at Ramakrishna Mission Vivekananda College, and was recruited to attend TIFR, where he got his Ph.D. in Mathematics in 1976. His thesis on moduli for principal bundles was published in 1996 in two papers in Proc. Indian Acad. Sci. three years after his death.[1]
Ramanathan, was a Professor of Mathematics at the TIFR in Bombay, India. He has also been employed at University of Bonn, Johns Hopkins University and University of Illinois at Urbana-Champaign. Ramanathan made significant contributions to many areas of mathematics, including moduli of vector bundles, Gauge theory, algebraic geometry in positive characteristic and representation theory.
Awards
[edit]The Council of Scientific and Industrial Research awarded he and his collaborator Vikram Bhagvandas Mehta the Shanti Swarup Bhatnagar Prize for Science and Technology (the Indian Presidential award for achievement in the mathematical sciences) in 1991 for his work in algebraic geometry.
Personal life
[edit]During his tenure as a visiting professor at University of Illinois at Urbana-Champaign, Ramanathan died in Chicago, Friday, 12 March 1993, of complications following treatment for a heart attack. He is survived by his wife RM. Vasantha and three daughters Lakshmi Valli Priya.[2]
Sources
[edit]- Mehta, V. B.; Ramanathan, A. (1985), "Frobenius splitting and cohomology vanishing for Schubert varieties", Annals of Mathematics, Second Series, 122 (1): 27–40, doi:10.2307/1971368, ISSN 0003-486X, JSTOR 1971368, MR 0799251
- Ramanan, S.; Ramanathan, A. (1985), "Projective normality of flag varieties and Schubert varieties" (PDF), Inventiones Mathematicae, 79 (2): 217–224, Bibcode:1985InMat..79..217R, doi:10.1007/BF01388970, ISSN 0020-9910, MR 0778124, S2CID 123105737
External links
[edit]- Annamalai Ramanathan citation
References
[edit]- ^ Moduli for principal bundles over algebraic curves I and II, Proc. Indian Acad. Sci. (Math. Sci.), Vol. 106, No. 3, August 1996
- ^ Obituary posted online, at sci.math.research, https://groups.google.com/forum/?fromgroups#!searchin/sci.math.research/annamalai$20ramanathan$20dies/sci.math.research/gjq0hyMv1K4/fXGU-BNWsP4J%5B1-25%5D
