MATH 053. Topics in Analysis: Knot Theory

This course introduces the study of knotted curves in 3-dimensional space. Topics include isotopy of knots, knot invariants, symmetries of knots, surfaces, and high-dimensional knot theory.
Alternate years.
Prerequisite: Both a grade of C- or better in, or placement out of, one of MATH 033, MATH 034, or MATH 035; and a grade of C- or better in, or placement out of, one of MATH 027 or MATH 028; or departmental approval. Some experience in reading and writing mathematical proofs is strongly recommended.
Natural sciences and engineering.
1 credit.
Eligible for COGS
Spring 2027. Miller.
Catalog chapter: Mathematics and Statistics
Department website: http://www.swarthmore.edu/mathematics-statistics

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