In the medieval tradition of Indian scholarship, it was assumed that both texts were written by the same person. Both the grammar and the poetic works had an enormous influence in their respective fields.
These lectures will survey recent work on the parameterization of volatility surfaces and the modeling of their dynamics. After reviewing the basics of volatility modeling, I will motivate the SVI "stochastic volatility inspired" parameterization of the volatility surface. I will show how to fit SVI to option prices whilst ensuring no static arbitrage.