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Archive of posts filed under the Algebraic Geometry category.

Geometry Club Talk: Computational aspects of ECDLP

Notes from my geometry club talk given April 18th, 2008.

Tate pairing computation in SAGE III

Optimised SAGE object for pairing computation.

Tate pairing computation in SAGE II

Some updates on computing the Tate pairing with SAGE.

Tate pairing computation in SAGE

Using elliptic nets/EDS to compute the Tate pairing in SAGE.

Stange’s Algorithm for Elliptic Nets

Finding terms of a rank 2 elliptic net, with a view to computing pairings.

Elliptic Nets

The generalisation of Elliptic Divisibility Sequences to higher rank.

More on Elliptic Divisibility Sequences

From EDS to elliptic curves.

Elliptic Divisibility Sequences revisited

SAGE procedures for computing with EDS.

First Year Presentation

Slides and Report from my first year presentation on the point counting problem.

Geometry Club Talk: Hyperelliptic curves

Slides from my talk on the geometry of hyperelliptic curves in connection with cryptography.