I just finished my PhD in mathematics at Michigan State University. I am scheduled to join the department of mathematics at the University of Oklahoma as a postdoctoral associate.
My research focuses on developing theoretical tools in the field of Topological Data Analysis. During my PhD under the supervision of Jose Perea, my work revolved around the study of toroidal dynamical systems. I made contributions to the development of persistent homology by proving Künneth-type theorems, to topological time series analysis by further developing the theory of sliding window embeddings, and to multiscale data coordinatization in topological spaces by proving stability theorems for circular coordinates.
Recent talks, papers, and workshop attendance
April 20, 2020
I successfully defended my Ph.D. dissertation titled 'A topological study of toroidal dynamics'