Wanchen Zhao

Mathematics PhD Student / TA

Areas of Interest/Research

Topological data analysis, homological algebra, category theory

Background

B.Sc. in Applied Physics, Columbia University

Contact Information

Email: wzhao1@ufl.edu
Office: LIT 487

I’m a fifth year PhD working with Professor Peter Bubenik. My research includes studying and developing vectorization methods for asymptotic behavior of persistence diagrams, and generalizing persistence landscapes for the limiting object. I define a new metric between interval modules and use it for the 1-Wasserstein distance between persistence diagrams. I show the 1-Wasserstein stability of persistence diagrams and L^1 stability of persistence landscapes using this new metric. There’re more details and cool pictures on my research page!

Here’s my poster that won the best poster award at JMM AWM poster session.