The Computational Algebra Group
The Computational Algebra System MAGMA
University of Sydney
School of Mathematics and Statistics
Elements of Computational Algebra
February-April 2003 | ||
Rational Points on Curves and their Jacobians |
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| 1. Victor Flynn: Curves and their Jacobians: an Overview | ||
| 2. Victor Flynn: Fermat Quartics and Serre's Challenge Curve | ||
| 3. Nils Bruin: Skolem-Mahler-Lech and Chabauty-Coleman | ||
| 4. John Cremona: Computing the Mordell-Weil Group of an Elliptic Curve cancelled | ||
May-June 2002 | ||
Plane Algebraic Curves over the Complex Field |
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| Scott McCallum (7 May to 13 June) | ||
| 1. Plane Curves | ||
| 2. Projective Curves | ||
| 3. Polynomial Resultants and Intersection of Curves | ||
| 4. Local Topology: Regular and Singular Points, Tangent Lines | ||
| 5. Analysis of Singular Points: Hensel's Lemma and the Newton-Puiseux Theorem | ||
| 6. Resolution of Singularities | ||
| 7. Genus Formula for Curves with only Ordinary Singularities | ||
March 2002 | ||
Introduction to Toric Varieties |
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| Helena Verrill (4 March to 7 March) | ||
| 1. Monday 4 March, 709 Carslaw | ||
| 2. Tuesday 5 March, 709 Carslaw | ||
| 3. Wednesday 6 March, 709 Carslaw | ||
| 4. Thursday 7 March, 709 Carslaw | ||
January-February 2002 | ||
Introduction to Number Rings |
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| Claus Fieker (31 January to 21 February) | ||
| 1. Revision of finitely generated Z-modules | ||
| 2. Ring of integers | ||
| 3. Lattices, Geometry of Numbers | ||
| 4. The Unit Group | ||
| 5. Dedekind Domains | ||
| 6. Class Group | ||
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The original source of this page is by Andrew Mathas. Modifications
by Gavin Brown, David Kohel and Volker Gebhardt.
Please mail questions or comments to Volker Gebhardt |