Calculating the Inside ViewThe technical side of our collaboration 'Raymarching Thurston Geometries'.
Geometry and The Poincare ConjectureA high level overview of the Poincare Conjecture and its proof.
Linear Algebra & Color VisionUsing the rank-nullity theorem to understand how we see the world.
Hyperbolic Dehn SurgeryA guest lecture I gave in a graduate geometric group theory course.
Classifying ManifoldsAn undergraduate introduction to low dimensional topology, focusing on geometric techniques.
Optics and Curved SpaceA taste of the calculus of variations through classical optics, geometry, and relativity.
What do 3-Manifolds Look Like?Using raytracing techniques from computer graphics to visualize the Thurston geometries.
From Ptolemy to FourierA 2-part undergraduate lecture on the history of functional analysis.
Linear Algebra & The Periodic TableAn undergraduate introduction to eigenfunction expansion for linear algebra students.
Flat Tori and the Hopf FibrationA high level overview of the Poincare Conjecture and its proof.