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Prospectus

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Elliptic curves (BM)

Course
2012-2013

The main subject of the course is the arithmetic of elliptic curves. An elliptic curve may be defined as a plane non-singular cubic curve together with a point lying on the curve, or alternatively as an abelian variety of dimension 1 (an algebraic version of a compact Lie group). We shall mainly be concerned with elliptic curves that are defined over fields of arithmetic interest, such as algebraic number fields and finite fields.

Number of hours
2/week

Literature
Milne, Elliptic Curves, available at http://www.jmilne.org/math/Books/index.html

Literature
Silverman, The Arithmetic of Elliptic Curves (Springer GTM)

Examination
TBC

Links
Webpage Elliptic curves