Independent Minds, Working Together
Knot Theory
 

Knots

Wooster Mathematics Knot Theory Research

Student Researchers: Louisa Catalano and David Freund

Faculty Advisor: John Ramsay and Jennifer Roche Bowen (Mathematics)

This project, funded by the GLCA, HHMI, and Sophomore Research Program, developed the foundation for a research program into the field of knot theory. In laying the groundwork for future research in this field, specific areas of knot theory were investigated as potential directions for research; these areas include the arc presentation of knot, tricolorability, virtual knots, and satellite knots. The arc index of a knot was found to be promising, and most of the current research in this area was reviewed. Also, the idea of a Klein bottle knot was invented and preliminary drawings were created.