Blowing Up in Algebraic Geometry — video lecture

A recorded lecture on blowing up singularities. Watch on YouTube

Implication, proof and light switches

Notes on truth tables, proof by contradiction, by contrapositive and by induction, and light switches. In two versions: a more interactive one, and a simpler one that reads well on a phone.

Open the notes
From the notes, animated: a row of dominoes falling, for proof by induction, and two light-switch circuits checked on every combination of their switches, a statement and its contrapositive
More interactive version Simpler version

Linear Algebra notes

Interactive lecture notes with figures you can drag: vectors in Euclidean space, the dot product and the norm, complex numbers, and systems of linear equations. Open the notes

The linear algebra notes, showing three planes meeting at a point

Algebraic Geometry notes

Interactive lecture notes: affine and projective varieties, the Zariski topology, the Nullstellensatz, morphisms, dimension, smoothness and toric geometry. Open the notes

The algebraic geometry notes, with their contents sidebar