Tutorials

Explore Jupyter notebooks demonstrating OSCAR’s capabilities. The tutorials are designed for, and tested with, the latest stable release OSCAR v1.7.2.

Before You Start

To avoid compatibility issues, make sure you’re using OSCAR v1.7.2 (upgrade instructions).

If you have not yet installed OSCAR, follow our installation guide.

Important: To run tutorials locally, install IJulia (Julia support for Jupyter) by completing the optional IJulia setup step from the installation guide.

Running Tutorials Locally

Download the notebook of interest from the list below.
Launch Jupyter on your machine (see Jupyter documentation).
Open the downloaded notebook, and execute it using a Julia kernel.

Available Tutorials

Commutative Algebra

Intersection Theory

Polyhedral Geometry

A question of Pham Huu Tiep about a group of symplectic type

Author(s): Thomas Breuer

Last modified: 22 Sep 2025

Topic: Group Theory

Analyzing Rubik's Cube

Author(s): Martin Schönert (translated to OSCAR by Thomas Breuer)

Last modified: 24 Jun 2024

Topic: Group Theory

Generation of sporadic simple groups by 𝜋- and 𝜋'-subgroups

Author(s): Thomas Breuer

Last modified: 12 Apr 2024

Topic: Group Theory

Irreducible representations of a finite abelian group over a finite field

Author(s): Thomas Breuer

Last modified: 17 Oct 2025

Topic: Group Theory

Perfect central extensions of PSL(3,4) in the Monster group

Author(s): Thomas Breuer

Last modified: 12 Apr 2024

Topic: Group Theory

Tutorial grid last updated on 06 May 2026.

More Tutorial Resources

Looking for more resources? Check out the polymake notebooks and Hecke notebooks.

Contributing Tutorials

Want to improve or add a tutorial? See our contribution guidelines.