Incidence Geometry & Elliptic Curves

Related lectures (29)

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Explores Bézout's theorem and Cayley-Bacharach, discussing intersection multiplicities and linear combinations in projective geometry.

Explores singular points, the group law, and the ambiguity in defining the sum of a point with itself on elliptic curves.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Discusses the correction of tangent lines and projective plane curves, exploring topological applications and curve structure.

Explores the complement problem for hypersurfaces in projective spaces and discusses isomorphism based on their complements.

Covers the concept of connected sums in RP2 and how to compute them.

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Covers the homology of projective space, focusing on cohomology and exact sequences.

Explores homogeneous ideals, regular rings, N-graded rings, and closed sets in projective geometry.

Covers the theory and applications of elliptic curves in cryptography and number theory.