• Spherical metrics with cone singularities

• Project Year: 2025
• REU Student (s):   David Cutler | Tufts University MA  
• Project Mentor (s) : Chi Li - 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.