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.
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Areas of Study
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1189 Beall Avenue, Wooster, Ohio 44691. (330) 263-2000
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