About Me
I grew up in China and received my Bachelor’s degree in Math and Applied Math from Sichuan University in 2015. In 2017, I completed my Master’s degree in Math at the Hong Kong University of Science and Technology, specializing in representation theory of Lie groups and Lie algebras under the guidance of Prof. Jing-Song Huang. My master's thesis, titled 'Generalized Fourier Transforms Associated With Oscillator Representations', generalizes the classical Fourier transform by viewing it as an oscillator representation.
In Autumn 2017, I began my Ph.D. program at The Ohio State University. During my second year of graduate study, I did some reading with Prof. Dongbin Xiu and worked on some interesting problems about neuron network training. My passion has always encompassed both pure mathematics and applied mathematics, ultimately leading me to focus on the field of topological data analysis (TDA) for my doctoral research.
Starting in 2018, I became a student of Prof. Facundo Mémoli, who guided me in my exploration of TDA. My first TDA-related project was on persistent homotopy groups of metric spaces. As this project evolved, my interests expanded to encompass various other persistent invariants, including those arising from the cohomology ring, chain complexes, Sullivan minimal models, and so on. My dissertation serves as a summary of all these works, titled 'Beyond Persistent Homology: More Discriminative Persistent Invariants'.
I am also interested in data science. See here for my Python projects that were completed with teammates from various research areas, during the Data Science Boot camp held by the Erdős Institute at OSU.
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