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May 07, 2024
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2014-2015 Graduate Catalog ARCHIVED CATALOG: CONTENT MAY NOT BE CURRENT. USE THE DROP DOWN ABOVE TO ACCESS THE CURRENT CATALOG.
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MAT 756 - Arithmetic on Elliptic Curves
Credits 3
The group structure of elliptic curves over the reals, complex numbers, the rationals, number fields, and finite fields; Bezout’s theorem and its applications; projective geometry; genus; Mordell’s theorem; points of finite order; and heights. Additional topics may include complex multiplication; modular forms; and factoring using elliptic curves.
Prerequisites
MAT 653 and 654, or equivalent.
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