R. Ranga Rao

Ramaswamy Ranga Rao is a prominent Indian mathematician. He finished his Ph.D. under the supervision of C.R. Rao at ISI, Calcutta. He was one of the "famous four" [1] students of Rao: (the others were K. R. Parthasarathy, Veeravalli S. Varadarajan, and S. R. Srinivasa Varadhan ) in ISI during 1956-1963.

Ranga Rao is now professor emeritus of mathematics at University of Illinois. He made fundamental contributions to statistics, Lie groups, and Lie algebras.

Selected publications

  • Bhattacharya, R. N.; Ranga Rao, R. (1976), Normal approximation and asymptotic expansions, John Wiley & Sons, MR 0436272. Russian translation by V. V. Sazonov, Nauka, 1982, MR0702344. 2nd ed., Robert E. Krieger Publishing Co., 1986, MR0855460. Chosen as a classic in the SIAM series on applied mathematics.
  • Ranga Rao, R. (1993), "On some explicit formulas in the theory of Weil representation", Pacific Journal of Mathematics, 157 (2): 335–371, MR 1197062.
gollark: Technically functors have `fmap`, actually.
gollark: Functor: has `map`, lets you run an `a → b` over a `f a` to get a `f b`Applicative: has `<*>`, lets you run a `f (a → b)` over a `f a` to get a `f b` and `pure`, which lets you get a `f a` from an `a`Monad: has `join`, which does `f (f a)) → f a` or alternately `bind`, which is `f a → (a → f b) → f b`.
gollark: Ah yes.
gollark: An applicative is a functor with, er, `<*>` or something.
gollark: A monad is an applicative with bind/join.

References


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