Authored a research paper on why piecewise isometry polytopes have zero topological entropy in the two-dimensional case.Proved that the multiplicity of repeated transformations on the isometry grows exponentially smaller in a high-order iterate. Extrapolated that piecewise isometry killing flow also has zero topological entropy and behaves simply and predictably.

Collaborated with the UI team to redesign the mobile payment interface for large-ticket items, reducingcheckout times and enhancing user experience, which led to a 65% increase in customer conversions

Directed a 20+ marketing team and collaborated with other nonprofit presses to assist 10 authors with their publications.Increased social media followers by 75% in half a year with data analysis on the targeted book community audience.Co-authored a book for elementary school curriculum on fundamental mathematics to increase the exposure of the company.