Kalyanapuram Rangachari PARTHASARATY

Address:

Indian Statistical Institute
7, S.J.S. Sansanwal Marg
New Delhi - 110 016
India

Phone: (91) 11 664 741
Fax: 11 685 6779
E-Mail: krp@isid.ernet.in

Born:

June 25, 1936, Madras, India

Education:

1953 - 1956 B.A. Hons in Mathematics, Vivekananda College, University of Madras
1956 - 1959 Professionals Statisticians Course, Indian Statistical Institute, Calcutta
1962 Ph.D., Indian Statistical Institute, Calcutta

Positions:

1962 - 1963 Visiting Fellow, Steklov Mathematics Institute, Moscow
1963 - 1965 Lecturer, Indian Statistical Institute, Calcutta
1965 - 1968 Lecturer, Senior Lecturer and Reader, Department of Probability & Statistics, University of Sheffield, U.K.
1968 - 1970 Professor of Statistics, Statistical Laboratory, University of Manchester, U.K.
1970 - 1973 Professor of Mathematics, University of Bombay, India
1973 - 1976 Professor of Mathematics, Indian Institute of Technology, New Delhi, India
1976 - 1984 Professor, Indian Statistical Institute, Delhi Centre, New Delhi, India
1984 - till now Distinguished Scientist, Indian Statistical Institute.

Selected Awards, Honours and Distinctions:

1974 Elected Fellow of the Indian Academy of Sciences, Bangalor
1976 S.S. Bhatnagar Prize for mathematical sciences of Council of Scientific and Industrial Research (India)
1976 Elected Fellow of the Indian National Science Academy, New Delhi
1994 Invited Lecture at the International Congress of Mathematicians, Zurich, Quantum stochastic calculus
1995 G.H. Hardy Lecture Tour of the London Mathematical Society

Research Interests:

Stochastic processes,
Mathematical foundations of quantum theory,
Quantum stochastic calculus

Selected Publications:

1. On the category of ergodic measures,
   Illinois J. Math. 5 (1961) 648-656

2. Probability distributions on locally compact abelian groups,
   Illinois J. Math. 7 (1963) (with R. Ranga Rao & S.R.S. Varadhan)

3. Representations of complex semisimple Lie groups and Lie Algebras,
   Ann. Math. 25 (1967) 383-420 (with R. Ranga Rao & V.S. Varadarajan)

4. Probability Measures on Metric Spaces,
   Academic Press, New York (1967)

5. Representations of current groups and the Araki-Woods imbedding theorem,
   Acta Mathematica 128 (1972) 53-71 (with K. Schmidt)

6. Quantum Ito's formula and stochastic evolutions,
   Commun. Math. Phys. 93 (1984) 301-323 (with R.L. Hudson)

7. Unification of boson and fermion stochastic calculus,
   Commun. Math. Phys. 104 (1986) 457-470 (with R.L. Hudson)

8. Cohomology of power sets with applications in quantum probability,
   Commun. Math. Phys. 124 (1989) 337-364 (with J.M. Lindsay)

9. Stop times in Fock space stochastic calculus,
   Probab. Th. Rel. Fields, 75 (1987) 317-349 (with K.B. Sinha)

10. An Introduction to Quantum Stochastic Calculus,
    Birkhauser Verlag, Basel (1992)

11. Markov dilations of nonconservative dynamical semigroups and a quantum boundary theory,
    To appear in Annales de l'Institut H. Poincare 1995 (with B.V.R. Bhat)