Studies of Knot Theory

Knot theory is related to most advanced modern mathematics and also to many research fields in science. The purpose of this program was to develop、in a national scale、both education and study of an extensive knot theory on the basis of the accomplishments of the 21 COE program of Osaka City Advanced Mathematical institute. The support project of international and domestic meetings was carried out steadily、and many new findings on knot theory could be obtained. Among such research activities、unique studies of knot theory such as the publication of an English book of teaching and learning methods of knot theory in school mathematics and three patent applications of knot theory were born.