Undergraduate Research at GANG
Research Experience for Undergraduate
is an NSF-supported opportunity for undergraduates to
participate in scientific research.
The geometry- and analysis-oriented topics for Summer 2000
Center for Geometry, Analysis, Numerics and Graphics
- Curves and immersions
- Three-dimensional discrete conformal geometry
- Two-dimensional stochastic heat flow.
How many ways does a curve in the plane bound an immersed surface?
More precisely, given an immersion
of the circle into the plane,
how many ways does
f extend to an immersion
of a 2-manifold
This problem arises in the classification of Alexandrov-embedded
genus-zero minimal surfaces in
with finite total curvature and horizontal catenoid ends
(C. Cosin, A. Ros. preprint).
Three-Dimensional Discrete Conformal Maps: