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.
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