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dc.contributor.advisor Sharif, Shahed en_US
dc.contributor.author Newberg, Steven
dc.date.accessioned 2017-12-14T20:01:43Z
dc.date.available 2017-12-14T20:01:43Z
dc.date.issued 2017-12-14
dc.date.submitted 2017-11-28
dc.identifier.uri http://hdl.handle.net/10211.3/198862 en
dc.description.abstract A moduli problem seeks to find a bijection between a class of objects and a topological space that describes the parameters of the class of objects. We will present the moduli problem for a type of curve used in cryptography, elliptic curves. The topological space describing elliptic curves is the quotient of the complex plane by the action of matrices in SL_2(Z), which we call a modular curve. Taking a quotient of the upper half of the complex plane by subgroups of SL_2(Z) also give moduli spaces of elliptic curves but include some extra structure. There are special points on modular curves, which we will discuss and give methods for finding. en_US
dc.description.sponsorship Mathematics en_US
dc.language.iso en_US en_US
dc.subject Modular Curves en_US
dc.subject Elliptic Curves en_US
dc.subject Cuspidal Tree en_US
dc.title Data of Modular Curves en_US
dc.type Thesis en_US
dc.contributor.committeemember Aitken, Wayne en_US
dc.contributor.committeemember Joshi, Badal en_US

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