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Know about them - - - Collection of photos and brief information about eminent Mathematicians of India or with Indian Origin who belong to post “Ramanujan Era”

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Know about them - - - by Dr. Nitin Oke with the help of Dr. Mahesh Kakde, Using references, if you get motivated credit is yours, if mistakes are there its mine.

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Srinivasa Ramanujan (22 Dec, 1887 – 26 Apr, 1920) – Made significant and lasting contributions to number theory. More precisely the theory of infinite series, continued fractions, modular forms and mock-theta functions. He did not have a formal education in mathematics. As a result, he not only discovered new theorems but also rediscovered many old theorems. IN 1912 Ramanujan was invited to Cambridge University due to G.H. Hardy in Trinity College, Cambridge. Ramanujan spent nearly 5 years from 1914 to 1919 in Trinity College, Cambridge where he worked with G H Hardy J E Littlewood. He was also made a Fellow of the Royal Society and the fellow of Trinity College, Cambridge. During his lifetime Ramanujan discovered over 3900 new identities and equations mostly without proofs but nearly all of them have now been proven to be correct.

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Sarvdaman Chawala (22 Oct, 1907 – 10 Dec, 1995) He made important contributions to number theory and related topics. Chowla was born in London while his father was studying at Cambridge University and his family returned to Lahore where he completed his masters. Chowla received his doctorate from Cambridge University under the supervision of J E Littlewood. He was a member of the Indian National Academy of Sciences and received Padma Bhushan.

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Shreeram Abhyankar (22 Jul, 1930 – 2 Nov, 2012) He made important contributions to various topics in mathematics including algebraic geometry, algebra, quantum electrodynamics etc. He received PhD from Harvard in 1955 under the supervision of Oscar Zariski after completing his B.Sc. From Mumbai University in 1951. He was a Marshall Distinguished Professor of Mathematics at Purdue from 1967 untill his death. He was a fellow of the Indian Academy of Sciences, American Mathematical Society and recipient of the Chauvenet Prize.

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P.C. Mahalanobis 29 June, 1893 – 28 June, 1972) Prasanta Chandra Mahalanobis devised what is now known an ‘Mahalanobis distance’ and made important contributions to the design of large-scalce sample surveys. He is well-known as a founder of Indian Statistical Institute, the statistical Journal ‘Sankhya’ and as a member of the ‘Planning commission’ of India. He specialized in physics but his interests grew in Statistics. He received several honours and awards including Weldon Memorial Prize from Oxford University, Fellow of the Royal Society, President of Indian Science Congress, SrinivasaRamanujan Medal and Padma Vibhushan.

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(11 Oct, 1923 – 16 Oct, 1983) Harish-Chandra did basic work in area of Harmonic analysis, representations theory and the theory of Lie groups. His work was highly influential in the development of Langlands program (a web of far-reaching conjectures relating number theory to automorphic forms and representation theory). After receiving masters degree from Allahbad University, Harish-Chandra moved to IISc, Bangalore to study theoretical physics. In 1954 he moved to University of Cambridge as a Ph.D and wrote a thesis on “Infinite irreducible representations of the Lorentz group” under the supervision of Paul Dirac. He was a faculty member at the famous “Institute of Advanced Studies” in Princeton from 1963 to 1983. He was a member of the National Acdemy of Sciences of the US, a Fellow of the Royal Society, recipient of Cole prize a nd Srinivasa Ramanujan Medal. Harish Chandra

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Satyendra Nath Bose (1 Jan, 1894 – 4 Feb, 1974) S. N. Bose is known for his fundamental contributions to mathematical physics including Bose-Einstein statistics and the theory of Bose-Einstein condensate. S N Bose obtained B.Sc and M.Sc from Calcutta University. Between 1916 and 1924 Bose wrote several important papers including “Plancks Gesetz and Licht quanten hypothese” which laid the foundation of quantum statistics. Bose visited European X- ray and crystallography laboratories between 1924 and 1926 where he worked with Louis De Broglie, Marie Curie and Einstein before returning to Dhaka University as a Professor. He received several honors including Fellow of the Royal Society and Padma Vibhushan.

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Calyampudi Radhakrishna Rao (10 Sept, 1920 - ) C R Rao is internationally recognized to have laid the foundations of modern statistics. His fundamental contributions to mathematics and to the theory and application of statistics have become a part of graduate and postgraduate courses and have influenced various fields such as economics, genetics, anthropology, geology, national planning, demography, biometry and medicine. Rao obtained double M A from Andhra University and from Calcutta University. He subsequently worked under R A Fisher to get a PhD from King’s College, Cambridge in 1948. C R Rao is a Fellow of the Royal Society and received several honours including Padma Vibhushan, National medal of Science of US, S SBhatnagar award, Guy medal, Srinivara Ramanujan medal apart from 37 honorary degrees from around the world.

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Madhu Sudan (12 Sept,1966 - ) Madhu Sudan has made important contributions to theoretical computer science including probabilistically checkable proofs, non-approximability of optimization problems, list decoding, error-correcting codes etc. After receiving his bachelors degree from IIT Delhi Madhu Sudan got a doctorate from University of California Berkeley in 1992. His doctoral thesis “Efficient Checking of Polynomials and Proofs and the Hardness Approximation Problems” received Association for Computing Machinery’s Distinguished Dissertation Award in 1993 and Godel Prize in 2001. Madhu Sudan was also awarded the prestigious Rolf Nevanlinna Prize in 2002.

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Komaravolu Chandrasekharan (21 Nov, 1920- ) K. Chadrasekharan is known for his work in number theory. He obtained his M. A. from Presidency College, Chennai and was a research scholar at University of Madras during 1940-43. He obtained his Ph.D under the supervision of Anand Rau and then went to the Institute of Advanced Studies in Princeton. He later headed the School of Mathematics at Tata Institute of Fundamental Research and transformed it into a leading centre of mathematics in the world. He is a fellow of the American Mathematical Society and recipient of several awards including Ramanujan medal, Shanti Swarup Bhatnagar Award and Padma Shri.

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M. S. Narsimhan (1932 - ) Mudumbai Seshachalu Narsimhan is known for his important contributions to algebraic geometry. He obtained his B.Sc from Loyola College Chennai and then completed his Ph.D at TIFR under K.Chandrasekharan. He is a Fellow of the Royal Society and the Indian National Science Academy and receipant of many awards including Shanti Swarup Bhatnagar award and Padma Bhushan.

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C. S. Sheshadri (29 Feb, 1932 - ) Conjeevaram Sriangachari Sheshadri is known for important contributions to algebraic geometry. He obtained his B.Sc from Madras University and his PhD from TIFR under the supervision of K. Chandrasekharan. He is a fellow of the Royal Society, Indian National Academy of Sciences and recipient of many awards including Bhatnagar award, Ramanujan medal and Padma Bhushan.

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M. S. Raghunathan (11 Aug, 1941 - ) Madabusi Santanam Raghunathan is known for his contributions to algebraic geometry, the theory of Lie groups etc. After obtaining B.Sc from St. Joseph’s College in Bangalore in 1957, he worked under M. S. Narsimhan to obtain a Ph.D from TIFR. He is a fellow of the Royal Society, the Indian National Academy of Sciences and recipient of several awards including Bhatnagar award, Ramanujan medal, Padma Shri and Padma Bhushan.

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Chandrashekhar Khare (1968 - )Khare is a number theorist known for proof of Serre’s conjecture (jointy with J-P. Wintenberger). He completed his undergraduate degree at Trinity College Cambridge and his Ph.D at UCLA under the supervision of Haruzo Hida in 1995. He is a fellow of the American Mathematical Society and recipient of Fermat Prize, Infosys prize a nd Cole prize.

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Kannan Soundararajan Soundrarajan is an analytic number theorists known for fundamental contribution to the understanding of L-function in critical strip and quantum unique ergodicity conjecture. He studied at University of Michigan for his undergraduate and completed his Ph.D from Princeton University under Peter Sarnak in 1995. Currently he is a professor at Stanford University. He received several awards including Ostrowski Prize, Infosys prize, SASTRA Ramanujan prize, Salem prize and Morgan prize.

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Manindra Agrawal (20 May, 1966 - ) is computer scientist at IIT Kanpur known for his joint work with Neeraj Kayal and Nitin Saxena on polynomial time primality testing algorithm, a problem which had been open for a long time. Agrawal obtained B.Tech and Ph.D from IIT Kanpur. He is a recipient of several awards including Clay Research Award, Bhatnagar award, ICTP prize, Godel Prize and Padma Shri.

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Manjul Bhargava He is Professor of Mathematics at Princeton University, U.S.A. He earned his A.B. in Mathematics from Harvard University in 1996 and Ph.D. from Princeton University in 2001.He joined Princeton University as a Professor of Mathematics in 2003. He was the first five-year Research Fellow of the Clay Mathematics Institute during 2000-05. His primary research interests lie in number theory, representation theory, and algebraic geometry. He is a member of the National Academy of Sciences and has received numerous awards, including three Derek Bok Awards for Excellence in Teaching (1993-95), the Hoopes Prize, AMS-MAA-SIAM Morgan Prize for Outstanding Undergraduate Research in Mathematics (1997), the MAA Merten M. Hasse Prize for Exposition (2003),, the SASTRA Ramanujan Prize (2005), which he shared with Prof. Kannan Soundararajan, the AMS Cole Prize for number theory (2008), and the Prix Fermat (2011). He was also the 2011 Simons Lecturer at MIT. And he is also a good tabla player, he studied with Pandit Prem Prakash Sharma and Ustad Zakir Hussain.

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S. S. Shrikhande (19 Oct 1917 - ) Sharadchandra Shankar Shrikhande, a man by whose name a graph is known in graph theory has contributed much in Combinatorics and statistical design. He was well known at his entry point itself, as was able to disprove Euler’s conjuncture which was mystery for nearly 60 years. He was founder of “Center of Advanced Study in Mathematics” was director of same till his retirement.

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Raj Chandra Bose ( 19 June 1901- 31 Oct 1987) Raj Chandra Bose design is known for his contribution of design theory and the theory of error-correcting codes in statistics in which the class of BCH codes is known by his name. As P. C. Mahalanobis was impressed by his work on geometrical designs he was pulled to statistics. He played major role in disproving Euler conjuncture that there do not exist two mutually orthogonal Latin squares of order (4n + 2) for every n.

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Dattatraya Ramchandra Kaprekar ( 17 Jan 1905 – 1986 ) An article was published in American Mathematical Monthly (AMM) a prestigious journal of mathematics by Martin Gardner, about a school teacher, who was not having, even post graduate education of mathematics but was having numbers known in his name as Kaprekar constant, Devlali numbers, the Harshad numbers and Demlo numbers. He contributed largely in recreational mathematics circles.

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