MATH 421
Quandles, Knots and Virtual Knots Spring 2018 Division III; Quantative/Formal Reasoning;
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A quandle is an algebraic object that, like a group, has a “multiplication” of pairs of elements that satisfies certain axioms. But the quandle axioms are very different from the group axioms, and quandles turn out to be incredibly useful when considering the mathematical theory of knots. In this course, we will learn about this relatively new area of research (1982) and learn some knot theory and see how quandles apply to both classical knot theory and the relatively new area of virtual knot theory (1999).
The Class: Type: lecture
Limit: 40
Expected: 15
Class#: 3686
Requirements/Evaluation: problem sets, tests, and a 3-page paper
Extra Info: may not be taken on a pass/fail basis; not available for the fifth course option
Prerequisites: MATH 355
Enrollment Preference: discretion of the instructor
Distributions: Division III; Quantative/Formal Reasoning;

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