Talks

Mathematics of Beautiful Graphics
Building a path tracer with vectors and calculus
Hyperbolic Physics
Surprising effects in classical physics in a curved background space
Newton Indeterminism
The resolution of Painleve's conjecture.
Geometry of Graph Embeddings
Seeing 3 Manifolds
Rendering 3-Manifolds in light of the Geometrization Theorem
Seeing Spacetime
A visual introduction to curved geometry in math and physics
Geometry Math and ML: Heidelberg
Calculating the Inside View
The technical side of our collaboration 'Raymarching Thurston Geometries'.
Geometry and The Poincare Conjecture
A high level overview of the Poincare Conjecture and its proof.
Linear Algebra & Color Vision
Using the rank-nullity theorem to understand how we see the world.
Hyperbolic Dehn Surgery
A guest lecture I gave in a graduate geometric group theory course.
Classifying Manifolds
An undergraduate introduction to low dimensional topology, focusing on geometric techniques.
SU2
Optics and Curved Space
A 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 Fourier
A 2-part undergraduate lecture on the history of functional analysis.
Linear Algebra & The Periodic Table
An undergraduate introduction to eigenfunction expansion for linear algebra students.
Flat Tori and the Hopf Fibration
A high level overview of the Poincare Conjecture and its proof.