1. Shodhbhagirathi @ IITR
  2. MATHEMATICS
  3. MASTERS' THESES (Maths)
Please use this identifier to cite or link to this item: http://localhost:8081/jspui/handle/123456789/21147
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dc.contributor.authorSharma, Jaya-
dc.date.accessioned2026-06-15T10:30:48Z-
dc.date.available2026-06-15T10:30:48Z-
dc.date.issued2022-05-
dc.identifier.urihttp://localhost:8081/jspui/handle/123456789/21147-
dc.guideSwaminathan, A.en_US
dc.description.abstractThe goal of this project is to form an understanding of the theory of elliptic curves over complex numbers and study an application of the same. We first introduce elliptic curves, elliptic (or doubly-periodic) functions and a very useful example of the latter: The Weierstrass ‘℘’ function. The relation between elliptic curves, lattices and complex torus C/L and via the ℘ function is studied. Elliptic integrals are introduced and their application in computing periods is explained. Finally an application of elliptic integrals in constructing a conformal mapping from a rectangle to the upper half plane is explained.en_US
dc.language.isoenen_US
dc.publisherIIT Roorkeeen_US
dc.titleELLIPTIC CURVES OVER COMPLEX NUMBERSen_US
dc.typeDissertationsen_US
Appears in Collections:MASTERS' THESES (Maths)

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