• 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.