Activities

Fall 2026

Optional, ungraded notebooks to work through — on your own or in a group — during the Q&A sessions, while I am meeting students one at a time. Nothing here is submitted and nothing is graded. Each one opens in Google Colab in your browser; no software to install, and no Google account needed to read it. One is posted for each Q&A session.

• Activity 0: Quotients and Homomorphic Images — ▶ Open in Colab — Isom⁺/Trans ≅ S¹, Spiral ≅ Rotn × Dilat⁺, ℤ/n, and S₄/A₄, with links to two companion lessons from the Erlangen Program. The link to the left downloads the raw notebook if you would rather run it yourself.
• Activity 1: Geometric Transformation Groups — ▶ Open in Colab — Explores examples of geometric transformation groups of the plane, from rigid motions to Möbius transformations.
• Activity 2: Polynomial Factorization — ▶ Open in Colab — Division with remainder, the Euclidean algorithm and Bézout in F[x], counting roots over 𝔽ₚ, and why x⁴+1 is irreducible over ℚ yet factors modulo every prime; ends with a look ahead to Eisenstein’s criterion. Use Runtime → Run all first, then start changing things.