Algorithmic Algebraic Geometry

Instructor: Frank Sottile
Homeworks: Homework assignments are found here.
A link to web-enabled Macaulay 2
Singular online
On Monday, 3 February, Sottile ran several scripts. Here are some of them, together with related scripts:
quartic.maple   quartic.sing       sparse.m2   sparse.sing       sparse_3.m2   sparse_3.sing       Newton_Method.maple.
On Friday, 31 January, Sottile ran a Singular script that computed the numbers of real solutions to some problems involving linear subspaces, called the Schubert calculus. Here is the Singular file: Derksen_NReal.sing.
On Tuesday, 28 January, Thomas Yahl presented some of the problems from Homework 4 in a Macaulay2 script, Assignment4.m2.
On Tuesday, 21 January, Elise Walker presented some of the problems from Homework 3 in a Macaulay2 script, Assignment3M2.m2.
On Monday, 13 January, Sottile ran Macaulay2 scripts to compute a reduction using the multivariate division algorithm by hand. Here is the Singular version and the Macaulay 2 version of that computation.
He also computed a degree reverse lexicographic Gröbner basis in three ways. Here is the Singular version and the Macaulay 2 version of that computation.
On Monday, 6 January, Sottile ran a Macaulay2 script to compute a Gröbner basis with respect to two different monomial orders. Here is the Singular version and the Macaulay 2 version of that computation.
On Tuesday, 17 December, Sottile ran a Macaulay2 script to study the lines on a cubic surface. Here is the Singular version and the Macaulay 2 version of that computation.
On Tuesday, 10 December, Sottile ran a Hello World Macaulay2. Here is the Singular version and the Macaulay 2 version of that computation.
Last modified: Mon Feb 3 10:12:49 CET 2020