Department of Mathematics
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The aim of this series of talks is to give a minimal introduction to the basic concepts in algebraic geometry needed to study elliptic curves.

September 24

• Complex Projective Plane
• Plane Curves
• Rational Curves
• Parametrization

October 29

• Intersection Theorems
• Some Commutative Algebra
• Bezout Theorem
• Cayley-Bacharach Theorem

November 26

• Elliptic Curves
• These are non-rational
• Parametrization (by elliptic functions)
• Group laws on elliptic curves
• Associativity of the geometric group law
• Elliptic Curves of higher degrees
• Cayley-Bacharach algebras of higher degrees