# Lizzy Huang

- Student
- Student

**Office Hours:**

Monday 8-9pm, Carr 125

Tuesday 8-9pm, Carr 125

I am a graduate student in the Department of Mathematics, Duke University. My advisor is Professor Mark A. Stern. Before coming to Duke, I received my bachelor degree in mathematics and economics from Peking University, China.

I am interested in geometric analysis with an emphasis on harmonic mapping problems. I use sigma models to study harmonic maps. Harmonic maps are critical points of a kinetic energy functional subject to nonlinear constraints and consequently satisfy a nonlinear Laplace equation. I focus on developing techniques to analyze singularities of solutions to these non-linear partial differential equations, i.e., when and where the solutions become non-differentiable.