Department of Mathematics
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In diophantine geometry, the 2nd degree equations of the form x² - Dy² = 1 are known as Pell's equations. In this talk, we show the inter-relations among the group laws on Pell's conics, Brahmagupta's binary law of composition (called bhavana), generating integer solutions to Pell's equation and some applications to diophantine geometry.

1. M. J. Jacobson and H. Williams, Solving the Pell equation, CMS Books in Mathematics, Springer, New York, 2009.
2. F. Lemmermeyer. Conics: poor man's elliptic curves, pdf file available here
3. V.S. Varadarajan, Algebra in ancient and modern times, American Math Society, Ann Arbor, Michigan, 1998.