Assistant Professor of Mathematics Jose Ceniceros recently presented “Singquandles and Singular Knot Invariants” in a mathematics seminar at Colgate University.
Ceniceros discussed the algebraic structures that can be used to distinguish different kinds of knots and links. In his talk, he defined an algebraic structure specific for singular knots and links called a singquandle.
Using the singquandle algebraic structure, Ceniceros defined the singquandle counting invariant of singular knots, and explored different ways of “jazzing up” the singquandle counting invariant to obtain stronger singular knot invariants from singquandles.
