In this project, students will tackle the problem of handling zeros in sequencing data to try to overcome limitations in modern sequencing technologies.

In this project, students will develop techniques from knot theory and combinatorics to address questions about the geometry and topology of 3-stranded polymers such as R-loops. An R-loop is a 3 stranded structure composed of a DNA-RNA complex and another single strand of DNA.

In this project, students will strengthen their knowledge of graph theory and delve into geometric techniques for graph representation. Beginning with a review of relevant literature on the notion of boxicity, participants will apply different methodologies to establish bounds for boxicity across various graph classes. In addition, students will be tasked with developing heuristics and algorithms to ascertain the boxicity of select graphs from the studied graph classes. This pivotal step often yields critical insights and intuitions regarding the behavior of the respective graph classes.