University of Connecticut

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SIGMA Seminar
Was Carl Gustav Jacobi The First Black Hat?
Andreas Malmendier

Friday, December 3, 2021
12:20pm – 1:10pm

Storrs Campus
Monteith 214

The Jacobian variety, named after 19th century mathematician Carl Gustav Jacobi, constructs from every algebraic curve a so-called Abelian variety, roughly speaking a manifold that is also an Abelian group. These Abelian varieties can be used to attack elliptic curve cryptosystems (ECE) that are used in every day electronic communication. Therefore, efficient algorithms for performing the group law in the Jacobian varieties of other curves, in particular so-called hyperelliptic curves, are important as they can break ECE. In this talk, I will give a basic introduction to the group law on hyperelliptic Jacobians. I will start with the basic examples of conics and elliptic curves, and then I will show how these ideas are generalized to a geometric interpretation of the group law on hyperelliptic Jacobians.


Monique Roy

S.I.G.M.A. Seminar (primary), UConn Master Calendar

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