Katherine E. Stange
Research
Publications
Talks
CV
Students & Postdocs
Experimental Math Lab
Code
Mathematics & AI
Teaching
Courses
Math and AI (Fall 2026)
For Students
For Teachers
Students & Postdocs
Experimental Math Lab
YouTube Videos
Illustration
Projects
Projections
Numberscope
Sundries
Fun
Ancient Sites
Proof of Concept (Substack)
Projects
Schmidt Arrangements
Schmidt Arrangement Visualizer (interactive)
Schmidt Orbits (interactive)
Modular Arithmetic Playground (interactive)
Elliptic Curve Playground (interactive)
Tate Pairing Visualizer (interactive)
Farey Hyperboloid (interactive)
Lattice Descent (interactive)
O(2,1) Explorer (interactive)
Neural n-gram Explorer (interactive)
Grokking Transformer Viewer (interactive)
Neural Function Playground (interactive)
Index Calculus Explorer (interactive)
Quadratic Starscapes: Lattices and Lorentz Geometry (interactive)
Starscape / Classes (interactive)
Starscape / Lattice (interactive)
Gross / Lattice (interactive)
Farey / Lattice (interactive)
Minkowski / Lattice (interactive)
Rational Lines in RP² (interactive)
Möbius Transformation (interactive)
Möbius Graphs (interactive)
Arithmetic Circle Packings
Abelian Sandpiles
Algebraic Starscapes
Divisor Waves
Numberscope
Elementary Number Theory
Elliptic Curves
AMS Invited Address
Shapeways
Make your own wooden Apollonian circle packing puzzle
On the importance of illustration for mathematical research (Notices of the AMS)
Algebraic Starscapes and Schmidt Arrangements — slides (Farey's Legacy, Edinburgh, 2026)
Integrating Research and Illustration in Number Theory — conference videos (carmin.tv)
Links to more illustration resources