Undergraduate Math Club

Kabir KapoorCornell University
On self-intersection and rotation of plane curves

Monday, October 16, 2017 - 4:45pm
Malott 532

The tangent winding number of a smooth closed plane curve is the number of complete rotations that a tangent vector makes as it goes around the curve. We will explore the remarkable relationship between this global invariant and the behavior of self-intersections for curves in the plane.