Lecturers : M. Bright UL M. Streng UL. Skip to main content.
PIMS Workshop on Computational Arithmetic Geometry
Side panel. You are not logged in. Log in. Elliptic Curves - 8EC. Prerequisites Linear Algebra, groups, rings, fields.
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Aim of the course Along various historical paths, the origins of elliptic curves can be traced back to calculus, complex analysis and algebraic geometry, and their arithmetic aspects have made them key objects in modern cryptography and in Wiles' proof of Fermat's last theorem. Other books on the topic include: J. Silverman and J. Silverman, "Advanced topics in the arithmetic of elliptic curves" SpringerLink.
The area of research in algebraic curves is receiving more interest not only from the mathematics community, but also fr The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry. The area of research in algebraic curves is receiving more interest not only from the mathematics community, but also from engineers and computer scientists, because of the importance of algebraic curves in applications including cryptography, coding theory, error-correcting codes, digital imaging, computer vision, and many more.
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This book covers a wide variety of topics in the area, including elliptic curve cryptography, hyperelliptic curves, representations on some Riemann-Roch spaces of modular curves, computation of Hurwitz spectra, generating systems of finite groups, Galois groups of polynomials, among other topics. Get A Copy.
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