She contributed to the fields of history of mathematics and Sanskrit, through her work on Geometry of ancient and medieval India.
Her younger sister T. A. Rajalakshmi was a well-known story-writer and novelist in Malayalam but committed suicide in 1965.
[2] The Kerala Mathematical Association started a regular Prof. T. A. Sarasvati Amma Memorial Lecture in its annual conference in 2002.
It deals in detail with the Sulba Sutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others.
The work seeks to explore the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales.