"The nature of s comes down to a differential equation and a duality. The interplay between the two variables is still something of a mystery (to this writer). By virtue of the lattice of periods, the theta function is at the same time one of the most powerful objects of algebraic geometry. Much classical mathematics of curve theory (Riemann surfaces) is derived using this algebraic aspect. The key idea is to interpret the moduli space of line bundles over the curve as a principally polarized abelian variety. Exploitng its self-dual property provides two variables whose duality establishes a linearization of the class of non-linear s that have as a prototype."
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Immigrants to the United StatesAcademics from ItalyHarvard University alumniMathematicians from ItalyWomen mathematicians
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edited by Jay Jorgensen & Lynn Walling
https://en.wikiquote.org/wiki/Emma_Previato
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Emma Previato
(November 29, 1952 – June 29, 2022) was an Italian-born, American mathematician, specializing in and . She was elected a Fellow of the in 2012.
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