- Spherical metrics with cone singularities
- Project Year:
2025
- REU Student (s):
David Cutler | Tufts University MA
- Student 1 Institution:
Tufts University
- Project Mentor:
Chi Li
- Project Mentor Area:
Mathematics
- Project Abstract:
Using a proof technique pioneered by Poincare in pursuit of the uniformization theorem, we prove a transversality result which partially implies a major conjecture of Eremenko. This proof requires additionally information about the solutions to a particular Laplace equation, but we conjecture that this information is attainable in the quite general case where our metric is not co-axial.