Shuyi Weng
Mathematics Department, Northwestern University



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Research Interests

I am interested in complex dynamical systems, potential theory on the complex plane, and computational geometry. My PhD work is on the harmonic caps and convex bodies of planar domains. The figure above shows the Cauliflower Julia set and its associated harmonic cap. My thesis is available here.

Harmonic Caps and Planar Conformal Geometry

Undergraduate Research Mentoring

In Winter and Spring 2021, I mentored two students through the Undergraduate Research Assistant Program (URAP) at the Office of Undergraduate Research. The project is titled Polyhedron Development and Polygon Folding, and investigates the relation between planar shapes and the possibly of folding them up into the boundary surfaces of polyhedrons. The research outcome was featured in The 2021 Virtual Undergraduate Research and Arts Exposition.