MATH GU4052

INTRODUCTION TO KNOT THEORY

Columbia University in the City of New York · UGRD · Fall 2026

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Recommended (can be taken concurrently): MATH UN2010 linear algebra, or equivalent. The study of algebraic and geometric properties of knots in R^3, including but not limited to knot projections and Reidemeisters theorm, Seifert surfaces, braids, tangles, knot polynomials, fundamental group of knot complements. Depending on time and student interest, we will discuss more advanced topics like knot concordance, relationship to 3-manifold topology, other algebraic knot invariants

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Class #columbia_in_city_new_york-MATHGU4052Fall 2026UGRD3.00 credits
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