Data, Numbers, and Geometry: Three Tutorials on Numerical Methods, Machine Learning, and Evaluation

Excerpt

arXiv:2610.07220v1 Announce Type: new Abstract: We present three practical tutorials on numerical computation and machine learning for mathematical research, developed for the DANGER: Data, Numbers, and Geometry workshop held at the Banff International Research Station in April 2026. The first develops a numerical approach to exterior calculus from pointwise evaluations of differential forms, using a flux formulation of the exterior derivative. Examples in Euclidean space and on the sphere illus