About me
I am a math PhD student at the University of Missouri-Columbia. Born in South Korea, I moved to the U.S. to do my Bachelor's at College of the Ozarks (2022). This is my 2nd year working under the supervision of Dr. Calin Chindris. My research interests lie in the representation theory of quivers, and recently, in its application to multiparameter persistence in topological data analysis.
Contact: mkmb5@umsystem.edu
Research
The Jordan Type of a Multiparameter Persistence Module, with C. Chindris and D. Kline. [pdf, arxiv - coming soon]
Inspired by the theory of modules of constant Jordan type, we define the Jordan type of a persistence module as the Jordan type of an associated nilpotent operator. Under this framework, we construct a new invariant and establish some completeness and stability results. In particular, we prove that the multirank invariants are complete for zigzag persistence modules.