Biography

My name is Carl Ye, (legal name is Jingkai Ye). I am a 4-th year math PhD student and a graduate Teaching Assistant.
Areas of Interest/Research
Topology, Topological Data Analysis (TDA)
Brief Summary of My Research
I am interested in the Anti-Vietoris–Rips and Finite Subset Spaces.
The Anti-Vietoris–Rips Complex is an interesting concept in TDA, while the Finite Subset
Space is an interesting concept in pure topology.
More specifically, I am trying to find a potential homotopy or homeomorphism
relationship between these two spaces under certain scales.
This research is interesting to me because I am trying to find some connections
between some TDA concepts and pure topology concepts.
Contact Information
Email: jye1@ufl.edu
Phone: (917) 545-9102
Office: LIT 487
Office Hours: M W Period 9