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.
| Office Location: | 110 Phytotron Building |
| Email Address: | |
| Web Page: | https://sites.google.com/site/lizzyjingxianhuang/ |
| Starting Year: | 2011 |
| Mathematics | Peking University | 2010 |
| Economics | Peking University | 2010 |