K. R. Parthasarathy (probabilist) explained

Birth Name:Kalyanapuram Rangachari Parthasarathy
Birth Date:1936 6, df=yes
Birth Place:Madras, Madras Presidency, British India (now Chennai, Tamil Nadu, India)
Death Place:Delhi, India
Field:Mathematics
Work Institutions:Indian Statistical Institute
Doctoral Advisor:C. R. Rao
Known For:Quantum stochastic calculus
Spouse:Shyama Parthasarathy
Children:2

Kalyanapuram Rangachari Parthasarathy (25 June 1936 – 14 June 2023) was an Indian statistician who was professor emeritus at the Indian Statistical Institute and a pioneer of quantum stochastic calculus. Parthasarathy was the recipient of the Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science in 1977 and the TWAS Prize in 1996.

Biography

Parthasarathy was born on 25 June 1936 in Madras,[1] into a modest but deeply religious Hindu Brahmin family.[2] [3] [4] He completed his early years of schooling in Thanjavur, before moving back to Madras to complete his schooling from P. S. School in the Mylapore neighbourhood of the city.[5] He went on to study at the Ramakrishna Mission Vivekananda College, where he completed the B.A. (Honours) course in Mathematics.

Parthasarathy then moved to Kolkata to attend the Research and Training school at the Indian Statistical Institute, where he completed his Ph.D., under the supervision of C. R. Rao in 1962. He was one of the "famous four" at ISI from 1956 to 1963, alongside R. Ranga Rao, Veeravalli S. Varadarajan, and S. R. Srinivasa Varadhan.[6] 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 World Academy of Sciences (TWAS) Prize for Mathematics in 1996.[7]

Parthasarathy was married to Shyama Parthasarathy. The couple had two sons. Parthasarathy died in Delhi on 14 June 2023, at the age of 86.[8]

Research

Parthasarathy started his work on theoretical probability during his time at the Indian Statistical Institute. He later worked at the Steklov Mathematical Institute, USSR Academy of Sciences (1962–63), as lecturer where he collaborated with Andrey Kolmogorov.[9] During this time, he continued to focus on the foundations of probability theory. Later he came to the United Kingdom as a Professor of Statistics at 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.[10] [11] [12]

After returning to India, he spent a few years at Bombay University and the Indian Institute of Technology, Delhi, before returning to the new Indian Statistical Institute, Delhi Centre, in 1976, where he spent the next 20 years before retiring in 1996. He continued to remain as a professor emeritus at the institute until the early 2020s.

Parthasarathy 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.[13] He collaborated with Ranga Rao and Varadarajan to write a paper on representation theory of lie groups referred to as the PRV paper that was the foundation for further research on this topic.

In addition to pioneering contributions to quantum stochastic calculus, some of Parthasarathy's research areas included quantum probability, foundations of quantum mechanics, information theory, stochastic processes, and group representations. He also served on many governmental committees.

Published works

Books

Papers

External links

Notes and References

  1. http://www.mathunion.org/Publications/Bulletins/38/IMU.EC/ParthasarathyKR.html Kalyanapuram Rangachari PARTHASARATY
  2. Book: Parthasarathy . K. R. . The Craft of Probabilistic Modelling . From Information Theory to Quantum Mechanics . The Craft of Probabilistic Modelling: A Collection of Personal Accounts . Applied Probability . 1986 . 1 . 235–249 . 10.1007/978-1-4613-8631-5_16 . https://link.springer.com/content/pdf/10.1007/978-1-4613-8631-5_16.pdf . Springer . 978-1-4613-8633-9 . en.
  3. Web site: Kalyan Bidhan Sinha and B. V. Rajarama Bhat. Professor K. R. Parthasarathy. Louisiana State University.
  4. Web site: Conferring on him the degree of Doctor of Sciences. Chennai Mathematical Institute.
  5. Web site: A Different Kind of Mind – Bhāvanā . 2023-06-25 . en-US.
  6. Web site: . Veeravalli S. Varadarajan . Louisiana State University.
  7. Web site: Prizes and Awards . 2016 . The World Academy of Sciences.
  8. Web site: 2023-06-24 . Remembering K R Parthasarathy: A life in numbers . 2023-06-25 . The Indian Express . en.
  9. Web site: Professor KR Parthasarathy. Indian National Science Academy. 18 May 2013. https://web.archive.org/web/20150901144928/http://insaindia.org/detail.php?id=n76-0553. 1 September 2015. dead.
  10. Web site: D. Applebaum. Robin Hudson's Pathless Path to Quantum Stochastic Calculus. dead. https://web.archive.org/web/20160304061146/https://www.applebaum.staff.shef.ac.uk/Hudpath.pdf. 4 March 2016. dmy-all.
  11. Book: Jinqiao Duan. Jinqiao Duan . Shunlong Luo . Caishi Wang . Recent development in stochastic dynamics and stochastic analysis. 2010. World Scientific. 978-9814277266. preface-x.
  12. Web site: K. R. Parthasarathy. Quantum Stochastic Calculus. 27 April 2013. https://web.archive.org/web/20120728070024/http://www.mathunion.org/Publications/Bulletins/39/parthasarathy.ps. 28 July 2012. dead.
  13. 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
  14. Web site: Books by K. R. Parthasarathy .

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