Kalyanapuram Rangachari Parthasarathy
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Kalyanapuram Rangachari Parthasarathy (born 25 June 1936) is professor emeritus at the Indian Statistical Institute and a pioneer of quantum stochastic calculus.


Biography

He was born in 1936 at Chennai, into a modest but deeply religious Hindu Brahmin family. He studied at the Ramakrishna Mission Vivekananda College, where he completed the B.A. (Honours) course in Mathematics, and moved to the Indian Statistical Institute, Kolkata, where he completed his Ph.D., under the supervision of C. R. Rao in 1962. He was one of the "famous four" (the others were R. Ranga Rao (mathematician), R. Ranga Rao, Veeravalli S. Varadarajan, and S. R. Srinivasa Varadhan) in Indian Statistical Institute, ISI during 1956–1963. He was awarded the first Ph.D. degree of ISI. He received the Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science in 1977 and the TWAS Prize in 1996.


Research

He worked at the Steklov Mathematical Institute, USSR Academy of Sciences (1962–63), as Lecturer where he collaborated with Andrey Kolmogorov. Later he came to United Kingdom as Professor of Statistics in University of Sheffield (1964–68), University of Manchester (1968–70) and later at University of Nottingham where he collaborated with Robin Lyth Hudson on their pioneering work in quantum stochastic calculus. Then he returned to India, and after a few years in Bombay University and the Indian Institute of Technology, Delhi, he came back in 1976 to the new Indian Statistical Institute, Delhi Centre and he stayed there until he retired in 1996. He is the namesake of Kostant–Parthasarathy–Ranga Rao–Varadarajan determinants along with Bertram Kostant, R. Ranga Rao and Veeravalli S. Varadarajan which they introduced in 1967.K. R. Parthasarathy, R. Ranga Rao, and Veeravalli S. Varadarajan. "Representations of complex semi-simple Lie groups and Lie algebras." The Annals of Mathematics 85.3 (1967): 383-429


Books authored

Among the books he has authored are: * K. R. Parthasarathy. Probability measures on metric spaces. Vol. 352. American Mathematical Society, 1967. * Robin Lyth Hudson and K. R. Parthasarathy. "Quantum Ito's formula and stochastic evolutions." Communications in Mathematical Physics 93.3 (1984): 301–323. * K. R. Parthasarathy. An introduction to quantum stochastic calculus. Vol. 85. Springer, 1992. * K. R. Parthasarathy and Klaus Schmidt (mathematician), Klaus Schmidt. "Positive definite kernels, continuous tensor products, and central limit theorems of probability theory" (series: Lecture Notes in Mathematics). (1972).


References


External links

*
K. R. Parthasaraty at Indian Statistical Institute (Delhi Center)
*https://web.archive.org/web/20120728070024/http://www.mathunion.org/Publications/Bulletins/39/parthasarathy.ps {{DEFAULTSORT:Parthasarathy, K. R. 1936 births Living people Indian statisticians 20th-century Indian mathematicians 21st-century Indian mathematicians Probability theorists Indian Statistical Institute alumni Academic staff of the Indian Statistical Institute Scientists from Chennai TWAS laureates Recipients of the Shanti Swarup Bhatnagar Award in Mathematical Science