Proof Atlas1 part 40 min

Proof Atlas: The Geometry of a Formal Proof

Can an entire Lean proof be read as a geometric object? An interactive first experiment, a carefully separated syntax graph and mathematical argument, and a research program for navigating formal proofs at different scales.

Proof Atlas: The Geometry of a Formal Proof
Hidden protostars3 parts 39 min

Hidden protostars: a research program

A dark dust clump can already contain a young star. What can survey data actually tell us—and what would it take to observe a stellar birth?

Hidden protostars: a research program
Mathematics 54 min

The Shortest Path When You Cannot Move Sideways

An interactive guide to the geometry of motion in the plane: from a simple constraint to the pendulum, competing routes, and the complete shortest-path solution.

The Shortest Path When You Cannot Move Sideways