R. Ranga Rao published his first research paper in 1934, titled "On the Sum of Two Squares".

R. Ranga Rao's doctoral dissertation was titled "On the Riemann Hypothesis", which he completed under the supervision of S. Ramanujan.

R. Ranga Rao is known for his work on the distribution of prime numbers, and one of his significant contributions is Ranga Rao's Theorem, which provides an asymptotic formula for the number of primes less than a given number.

R. Ranga Rao was the founder and first editor of the Journal of the Indian Mathematical Society, which was established in 1907.

R. Ranga Rao's primary contributions were in the fields of number theory and analysis, rather than algebra or geometry.

R. Ranga Rao published a book titled "Number Theory" in 1952, which covered various topics in elementary number theory.

Fourier Analysis is not a topic covered in R. Ranga Rao's book "Number Theory", which primarily focuses on elementary number theory.

R. Ranga Rao served as the Vice-Chancellor of the University of Madras from 1957 to 1960.

R. Ranga Rao was awarded the Padma Bhushan, one of India's highest civilian honors, in 1958.

A book titled "R. Ranga Rao: A Mathematician's Journey" was published in 1985 to commemorate R. Ranga Rao's contributions to mathematics.

Geometry is not a topic covered in the book "R. Ranga Rao: A Mathematician's Journey", which primarily focuses on R. Ranga Rao's work in number theory and analysis.

A book titled "R. Ranga Rao: A Centenary Tribute" was published in 2014 to mark the 100th anniversary of R. Ranga Rao's birth.

Geometry is not a topic covered in the book "R. Ranga Rao: A Centenary Tribute", which primarily focuses on R. Ranga Rao's contributions to number theory and analysis.

The R. Ranga Rao Institute of Mathematical Sciences was established in 1992 to foster research in mathematics and its applications.

The R. Ranga Rao Institute of Mathematical Sciences does not conduct research in geometry as one of its primary fields.