Algebraic Methods (2007/2008)

Course partially running

Course code
4S00064
Credits
5
Coordinator
Enrico Gregorio
Teaching is organised as follows:
Unit Credits Academic sector Period Academic staff
Modulo 1 3 MAT/02-ALGEBRA 1° Q Enrico Gregorio
Modulo 2 2 MAT/02-ALGEBRA 1° Q Enrico Gregorio

Learning outcomes

Module: Modulo 1
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Module: Modulo 2
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Elements of the theory of algebraic curves. Applications to cryptography on elliptic curves.

Syllabus

Module: Modulo 1
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Module: Modulo 2
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Algebraic curves, tangent lines and singular points.
The projective plane.
Homogeneous polynomials and curves in the projective plane.
Canonical form of a nonsingular cubic.
The group of a nonsingular cubic.
Cryptography on elliptic curves of degree three.

Assessment methods and criteria

Module: Modulo 1
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Module: Modulo 2
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Oral test